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Jacob Katriel, List of Publications














Publications





1. J. Katriel and G. Adam, A unitary transformation of the inverse square law potential, Phys. Lett. 27A, 678 (1968).

2. J. Katriel, An expansion theorem for products of generalized Hermite Gauss functions, Chem. Phys. Lett. 3, 624-628 (1969).

3. J. Katriel, Molecular integrals over Gaussian functions, Chem. Phys. Lett. 4, 397-400 (1969). [MR0334728].

4. J. Katriel and G. Adam, A simple solution of the linear potential problem, Physica 43, 546-548 (1969).

5. J. Katriel and G. Adam, A system with infinitely degenerate bound states, Am. J. Phys. 37, 565 (1969).

6. J. Katriel and G. Adam, Molecular integrals over generalized Hermite-Gaussian functions, J. Chem. Phys. 51, 3709-3712 (1969).

7. J. Katriel and G. Adam, Physical realization of noncompact dynamical symmetries, Phys. Rev. Lett. 23, 1310-1311 (1969).

8. A. Dolev, G. Adam and J. Katriel, A note on the Walford-Doust method for rapid calibration of germanium spectrometers, Nucl. Inst. Meth. 68, 176 (1969).

9. G. Adam and J. Katriel, An efficiency-independent method in $\gamma$ ray spectrometry, Health Phys. 16, 796-796 (1969).

10. G. Adam and J. Katriel, Absolute calibration of beta gamma sources, Health Phys. 17, 731-732 (1969).

11. J. Katriel and G. Adam, On the use of second quantization for the calculation of two-centre harmonic oscillator integrals, J. Phys. B 3, 13-15 (1970).

12. J. Katriel and G. Adam, A comparative study of ellipsoidal Gaussians: H$_2^+$, Chem. Phys. Lett. 4, 596-598 (1970).

13. J. Katriel and G. Adam, The overlap integral between the hydrogen and the cyclotron eigenfunctions, Phys. Lett. A 31, 270-271 (1970).

14. J. Katriel and G. Adam, A comparative study of ellipsoidal Gaussians: H$_2$ and He$_2^{++}$, J. Chem. Phys. 53, 302-305 (1970).

15. J. Katriel and G. Adam, Shape restricted wavefunctions: two center spherical limits for H$_2^+$, Chem. Phys. Lett. 6, 431-434 (1970).

16. J. Katriel and G. Adam, An algebraic approach to superradiance of harmonic oscillators, Phys. Lett. A 33, 190-191 (1970).

17. J. Katriel, Second quantization and the general two centre harmonic oscillator integrals, J. Phys. B 3, 1315-1320 (1970).

18. G. Adam and J. Katriel, A method for the separation of overlapping decaying peaks, Nucl. Inst. Meth. 87 305-306 (1970).

19. G. Adam and J. Katriel, Graphical analysis of time-dependent spectra, J. Apl. Phys. 42, 394-395 (1971).

20. G. Adam and J. Katriel, Analysis of thermoluminescence kinetics of $CaF-2:Mn$ dosimeters, Proc. Third Int. Conf. Luminescence Dosimetry, 9-15 (1971).

21. J. Katriel and G. Adam, Solution of an exactly solvable quantum mechanical N-body problem, Am. Jour. Phys. 39, 334-336 (1971).

22. J. Katriel and G. Adam, Exact analytic evaluation of the H$_2^+$ force constant, Chem. Phys. Lett. 8, 191-194 (1971).

23. J. Katriel, A linear model of second harmonic generation in terms of generalized Bose operators, Phys. Lett. A 34, 44-45 (1971).

24. J. Katriel and G. Adam, Equivalence of different representations of the generalized Bose operator, J. Math. Phys. 12, 1352-1353 (1971) [MR0286415].

25. J. Katriel and G. Adam, Shape restricted wavefunctions: Ellipsoidal limits for ground and excited $\sigma_g$ states of H$_2^+$,
Chem. Phys. Lett. 10, 533-538 (1971).

26. J. Katriel, A study of the interpretation of Hund's rule, Theoret. Chim. Acta 23, 309-315 (1972).

27. J. Katriel and G. Adam, On the determination of hypervirial theorems, J. Phys. B 5, 1 (1972).

28. J. Katriel, The spherical limit of H$_2^+$: A symmetry dilemma, Intern. J. Quantum  Chem. 6, 541-548 (1972).

29. P.L. Goodfriend, K.R. Brownstein, J. Katriel, G. Adam, and J.D. Power, Comment on hybrid Gaussian type orbital. A test with the hydrogen atom, J. Chem. Phys. 56, 1016-1017 (1972).

30. J. Katriel, Analysis of atomic correlation energies, Chem. Phys. Lett. 12, 457-459 (1972).

31. J. Katriel, Locality of the effect of the Pauli principle in atoms, Phys. Rev. A 5, 1990-1992 (1972).

32. J. Katriel, An interpretation of Hund's rule, Theoret. Chim. Acta 26, 163-170 (1972).

33. E. Bar-Ziv and J. Katriel, Energy and electronic dipole moment of the one electron quark molecules, Nature 237, 32 (1972).

34. E. Domany, S. Goshen and J. Katriel, Algebraic derivation of the generalized Talmi expansion, Lett. Nouv. Cim. 4, 389-390 (1972).

35. J. Katriel and E. Domany, Simultaneous hypervirial relations for approximate wavefunctions, Chem. Phys. Lett. 21, 448-450 (1973) [MR0363277].

36. G. Adam and J. Katriel, Dipole moment of ternary homonuclear systems, Chem. Phys. Lett. 21, 451-453 (1973).

37. R.J. Boyd and J. Katriel, The Coulomb hole in the $2^3S$ state of the helium isoelectronic sequence, Intern. J. Quantum Chem. 8, 255-261 (1974).

38. J.G. Leopold, J. Katriel and M. Cohen, A study of the Weinhold-Wang bounds to overlap integrals, Chem. Phys. 3, 290-295 (1974).

39. J. Katriel and E. Domany, A study of the symmetry dilemma: Second order transitions, Intern. J. Quantum Chem. 8, 559-564 (1974).

40. J. Katriel, Combinatorial aspects of boson algebra, Lett. Nouv. Cim. 10, 565-567 (1974).

41. Y. Tal and J. Katriel, Some unusual electronic precorrelation and correlation effects in the $^{1,3}\Pi_u$ states of the hydrogen molecule, J. Phys. B 7, 2113-2120 (1974).

42. N. Moiseyev and J. Katriel, The continuity dilemma and Hartree-Fock instabilities, Chem. Phys. Lett. 29, 69-72 (1974).

43. E. Domany, J. Katriel and M.W. Kirson, Existence and application of localized Hartree-Fock states, Phys. Lett. A 48, 477-479 (1974).

44. E. Domany, J. Katriel and M.W. Kirson, Use of localized canonical solutions of the Hartree-Fock equations in many-body perturbation theory, {\it in} {\underline{Liquid and Solid Helium}}, C.G. Kuper, S.G. Lipson and M. Revzen, Eds., John Wiley, N.Y. 1975.

45. J.G. Leopold, M. Cohen and J. Katriel, Bounds to quantum mechanical properties: Extensions of the Weinhold-Wang procedure, J. Phys. B 8, 513-524 (1975).

46. Y. Tal and J. Katriel, Bond length variation within electronic configurations of diatomic molecules, Mol. Phys. 30, 621-627 (1975).

47. J. Katriel and E.A. Halevi, Orbital correspondence analysis in maximum symmetry: Formulation and conceptual framework, Theoret. Chim. Acta 40, 1-15 (1975).

48. N. Moiseyev, J. Katriel and R.J. Boyd, On the Fermi hole in atoms, J. Phys. B 8, L 130-133 (1975).

49. N. Moiseyev and J. Katriel, Coupling of radial and angular correlations in two-electron atoms, Chem. Phys. 10, 67-72 (1975).

50. I. Exman, J. Katriel and R. Pauncz, One electron model generated by a partition of $1/r_{12}$: Application to the structure of the periodic table, Chem. Phys. Lett. 36, 161-165 (1975).

51. N. Moiseyev and J. Katriel, A generalized perturbation theory, Phys. Lett. A 54, 125-127 (1975).

52. J. Katriel and S. Speiser, Transition probabilities for coherent multiphoton absorption processes, Chem. Phys. 12, 291-295 (1976).

53. J. Katriel and O. Kahn, Exact solution of Lines' model of exchange - striction in magnetic dimers, Phys. Lett. A 55, 439-440 (1976).

54. N. Moiseyev and J. Katriel, The Gaussian potential: bound states in the continuum?, Theoret. Chim. Acta 41, 321-328 (1976).

55. N. Moiseyev and J. Katriel, A simple treatment of two-electron one-photon transitions, Phys. Lett. A 58, 303-304 (1976).

56. N. Moiseyev and J. Katriel, Stability, continuity and symmetry of variational wave-functions, Intern. J. Quantum Chem. 10, 1011-1023 (1976).

57. J.G. Leopold, M. Cohen and J. Katriel, A study of L\"owdin's criterion for completeness of basis sets, Intern. J. Quantum Chem. 10, 1049-1056 (1976).

58. E. Meron, K. Murat, J. Nachman, Y. Tal and J. Katriel, Elastic electron rare gas atom scattering: application of a one electron model generated by a partition of $1/r_{12}$, Chem. Phys. Lett. 44, 350-353 (1976).

59. J. Katriel and R. Pauncz, Theoretical interpretation of Hund's rule, Adv. Quantum Chem. 10, 143-185 (1977).

60. N. Moiseyev and J. Katriel, Generalized perturbation theory: quality of the first order wavefunction, Theoret. Chim. Acta 44, 201-213 (1977) [MR0489488].

61. R. Pauncz and J. Katriel, Branching diagram for `elementary particles' with arbitrary spin, Chem. Phys. Lett. 46, 319-322 (1977).

62. N. Moiseyev, J. Katriel and R.J. Boyd, Fermi and Coulomb correlations in the $2^1S$ state of the helium isoelectronic sequence, Theoret. Chim. Acta 45, 61-67 (1977).

63. E. Meron and J. Katriel, A Hohenberg-Kohn theorem for non-local potentials, Phys. Lett. A 61, 19-21 (1977) [MR0443704 ].

64. Y. Tal and J. Katriel, Virial scaling corrections to Koopmans' ionization potentials in atoms, Phys. Lett. A 61, 288-290 (1977).

65. Y. Tal and J. Katriel, Bonding criteria for diatomic molecular orbitals and inter-relations among them, Theoret. Chim. Acta 46, 173-181 (1977).

66. R. Merksamer and J. Katriel, Bound diatomic molecules with zero bond order, Chem. Phys. Lett. 52, 171-173 (1977).

67. N. Moiseyev, J. Katriel and C. Trindle, A weakly bound, quantum mechanical, Buridan's ass, Intern. J. Quantum Chem. 12, 759-763 (1977).

68. J. Katriel and R. Pauncz, Generalized branching diagrams, Intern. J. Quantum Chem. 12S1, 143-151 (1977).

69. Y. Tal and J. Katriel, On the non-existence of maxima in variational computations containing non-linear parameters, Intern. J. Quantum Chem. 13, 149-153 (1978).

70. E.A. Halevi, J. Katriel, R. Pauncz, F.A. Matsen, and T.L. Welsher, Sigma participation in electrocyclic reactions - a consequence of symmetry, J. Amer. Chem. Soc. 100, 359-365 (1978).

71. G. F. Kventsel and J. Katriel, An exactly soluble model of quadratic magnetostriction, J. Magn. Magn. Mat. 8, 303-307 (1978).

72. J. Tenenbaum, I. Smilanski, S. Gabay, G. Erez, L.A. Levin, J. Katriel, and S. Speiser, Buffer gas effect on ground and metastable state populations in a pulsed CuBr laser, I.E.E.E.-Q.E. 14, 680-685 (1978).

73. G.F. Kventsel and J. Katriel, On the temperature dependence of the singlet-triplet energy gap in dimers, Molec. Phys. 36, 1249-1253 (1978).

74. G.F. Kventsel and J. Katriel, An exactly soluble model of singlet-ground-state ferromagnetism, Phys. Stat. Sol. (b) 89, 645-650 (1978).

75. N. Moiseyev, G.F. Kventsel and J. Katriel, Comment on ``Non-non crossings in molecular potential energy curves'', Chem. Phys. Lett. 57, 477-478 (1978).

76. G.F. Kventsel and J. Katriel, Exact solutions for infinite-range spin Hamiltonians, J. Appl. Phys. 50, 1820-1821 (1979).

77. K. Murat and J. Katriel, The lowest triplet state of the biexciton may be bound, Phys. Lett. A 71, 143-145 (1979).

78. J. Katriel, On the divergence of perturbation theory for anharmonic oscillators, Phys. Lett. A 72, 94-96 (1979) [MR0589695].

79. J. Katriel, Explicit expressions for the coefficients in boson series expansions of arbitrary spin operators, Phys. Stat. Sol. (b) 93, K 177-179 (1979).

80. J. Katriel, Generalized Hiller-Sucher-Feinberg identity, Phys. Rev. A 21, 1067-1068 (1980).

81. J.M. Peek and J. Katriel, The hydrogen molecular ion in a high magnetic field, Phys. Rev. A 21, 413-417 (1980).

82. J. Katriel and E.R. Davidson, Shellwise virial scaling: An approximation for atomic hole states, Intern. J. Quantum Chem. 18, 1049-1055 (1980).

83. J. Katriel, An alternative interpretation of Theophilou's extension of the Hohenberg-Kohn theorem to excited states, J. Phys. C 13, L375-376 (1980).

84. J. Katriel and E.R. Davidson, Asymptotic behavior of atomic and molecular wavefunctions, Proc. Natl. Acad. Sci., U.S.A. 77, 4403-4406 (1980).

85. J. Katriel and E.R. Davidson, The non-crossing rule: Triply degenerate ground state geometries of CH$_4^+$, Chem. Phys. Lett. 76, 259-262 (1980).

86. D. Feller, J. Katriel and E.R. Davidson, The cyclic isomer of CO$_2$, J. Chem. Phys. 73, 4517-4520 (1980).

87. J. Katriel, C.J. Appellof and E.R. Davidson, Mapping between local potentials and ground state densities, Intern. J. Quantum Chem. 19, 293-300 (1981).

88. J. Katriel and M.R. Nyden, A comparison between hydrogenic and Thomas-Fermi expectation values, J. Chem. Phys. 74, 1221-1224 (1981).

89. J. Katriel, R.G. Parr and M.R. Nyden, Concerning the chemical potential of few-electron systems, J. Chem. Phys. 74, 2397-2401 (1981).

90. J. Katriel and D.G. Hummer, Analytic solutions for three- and four-wave mixing via generalised Bose operators, J. Phys. A 14, 1211-1224 (1981) [MR0611983].

91. G.F. Kventsel and J. Katriel, Thomas-Fermi atom in n-dimensions, Phys. Rev. A 24, 2299-2301 (1981).

92. J. Katriel, A comment on the reducibility of the Voigt functions, J. Phys. A 15, 709-710 (1982) [MR0642303], [Zbl 0485.33009].

93. G.F. Kventsel and J. Katriel, Generalized mean-field equations with applications to nematic-isotropic transitions, Molec. Cryst. Liq. Cryst. 84, 93-100 (1982).

94. J. Katriel and C.K. J{\o}rgensen, Possible broken supersymmetry behind the periodic table, Chem. Phys. Lett. 87, 315-319 (1982) [MR0657823].

95. J. Katriel and R. Bar-Adon, Spectrum of the F$_2^+$ center, Phys. Stat. Sol. (b) 113, 481-486 (1982).

96. J. Katriel and N. Moiseyev, Approximate and exact treatments of second harmonic generation: regular vs. `stochastic' behaviour, J. Chem. Phys. 78, 876-881 (1983) [MR0689995].

97. J. Katriel, R. Pauncz and J.J.C. Mulder, Studies in the configuration interaction method II. Generating functions and recurrence relations for the number of many-particle configurations, Intern. J. Quantum Chem. 23, 1855-1867 (1983).

98. J. Katriel, Reduction of the excited state into the ground state of a super-Hamiltonian, Intern. J. Quantum Chem. 23, 1767-1780 (1983).

99. J. Katriel and G.F. Kventsel, The constant coupling approximation: some exact results, Phys. Stat. Sol. (b) 116, K51-K56 (1983).

100. J. Katriel and G.F. Kventsel, Generalized mean-field theory: formulation, thermodynamic consistency and application to the isotropic-nematic-smectic transitions in liquid crystals, Phys. Rev. A  28, 3037-3042 (1983).

101. J. Katriel, Normal ordering formulae for some boson operators, J. Phys. A 16, 4171-4173 (1983) [MR0723262], [Zbl 0531.05007].

102. S. Speiser and J. Katriel, Intramolecular electronic energy transfer via exchange interaction in bichromophoric molecules, Chem. Phys. Lett. 102, 88-94 (1983).

103. M. Orenstein, S. Speiser and J. Katriel, An eikonal approximation for non linear resonators exhibiting bistability, Opt. Comm. 48, 367-373 (1984).

104. J. Katriel and N. Ullah, Sufficiency of the anticorrelation identities, Phys. Rev. A 29, 2222-2224 (1984).

105. J. Katriel and G.F. Kventsel, Reentrant behaviour of the magnetization in two sublattice systems with a quartic repulsion, J. Mag. Mag. Mat. 42,  243-249 (1984).

106. N. Moiseyev and J. Katriel, Spurious complex energies for confining potentials in the complex-coordinate method, Chem. Phys. Lett. 105, 194-196 (1984).

107. J. Katriel, Spectrum of two-dimensional excitons in heterojunction superlattices, Phys. Lett. A 101, 158-160 (1984).

108. J. Katriel, D. Feller and E.R. Davidson, Why is there a molecular relativistic effect?, Intern. J. Quantum Chem. 26, 489-495 (1984).

109. G.F. Kventsel and J. Katriel, Static properties of infinite-range anisotropic spin Hamiltonians, Phys. Rev. B 30, 2828-2831 (1984) [MR0758593 ].

110. J. Katriel and G.F. Kventsel, The magnetization equation for an arbitrary infinite-range spin Hamiltonian, Solid State Comm. 52, 689-691 (1984).

111. G.F. Kventsel and J. Katriel, Time dependent correlations for axially symmetric infinite-range spin Hamiltonians, Phys. Rev. B 31, 1559-1564 (1985).

112. J. Katriel, J. Paldus and R. Pauncz, Generalized Dirac identities and explicit relations between the permutational symmetry and the spin operators for systems of identical particles, Intern. J. Quantum Chem.  28, 181-202 (1985).

113. G.F. Kventsel and J. Katriel, Two-state mean-field theory of reentrant phase transitions, Phys. Stat. Sol. (b) 128, 169-175 (1985).

114. J. Katriel and G.F. Kventsel, Molecular-field theories of reentrance in liquid crystals, Molec. Cryst. Liq. Cryst. 124, 179-193 (1985).

115. M. Orenstein, S. Speiser and J. Katriel, A general eikonal treatment of coupled dispersively non-linear resonators exhibiting optical multistability, IEEE Journal of Quantum Electronics QE-21, 1513-1522 (1985).

116. G.F. Kventsel and J. Katriel, Heuristic generalization of the Bogolyubov-Tyablikov magnetization equation to arbitrary isotropic spin-Hamiltonians, Phys. Rev. B 32, 1767-1771 (1985).

117. J. Katriel and A. Rosenhouse, The classical limit of the Korteweg deVries hierarchy of isospectral transformations, Phys. Rev. D 32, 884-890 (1985) [MR0803860].

118. M. Orenstein, J. Katriel and S. Speiser, Optical bistability of molecular systems, {\it in} {\underline{Methods of Laser Spectroscopy}}, Y. Prior Ed. (Plenum 1986) pp. 335-339.

119. E.R. Davidson and J. Katriel, On the completeness of certain sets of functions in $L^2(0,\infty)$, J. Phys. A 19, L 5-7 (1986) [MR0846108], [Zbl 0602.42034].

120. J. Katriel and G.F. Kventsel, Mean-field treatment of arbitrary anisotropic ferromagnetic spin-Hamiltonians, Phys. Rev. B 33, 6360-6365 (1986).

121. G.F. Kventsel and J. Katriel, Bogolyubov-Tyablikov-like approximation for nematic liquid cystals: Bridge between continuum and mean-field theories, Phys. Rev. A 33, 518-523 (1986).

122. J. Katriel, G.F. Kventsel, G.R. Luckhurst and T.J. Sluckin, Free energies in the Landau and molecular field approaches, Liquid Crystals 1, 337-355 (1986).

123. J. Katriel and G.F. Kventsel, On the feasibility of reentrance in a one-sublattice anisotropic spin-Hamiltonian, J. Phys. Chem. Solids 47, 1099-1101 (1986).

124. J. Katriel, A. Solomon, G. D'Ariano and M. Rasetti, Multiboson Holstein-Primakoff squeezed states for  SU(2) and SU(1,1), Phys. Rev. D 34, 2332-2338 (1986).

125. M. Orenstein, J. Katriel and S. Speiser, Application of the nonlinear eikonal treatment to the design of optical bistable devices, SPIE 700 (Proc. Conf. Optical Computing, Jerusalem 1986) pp 96-103.

126. G.F. Kventsel, J. Katriel and T.J. Sluckin, Molecular-field theory of the switching transition in mixtures of liquid crystals of opposite diamagnetic anisotropies, Molec. Cryst. Liq. Cryst. 148, 225-232 (1987).

127. J. Oliker, G.F. Kventsel and J. Katriel, Long sequences of order-order transitions with a temperature dependent rotation of the magnetization, in anisotropic quartic spin Hamiltonians, J. Appl. Phys. 61, 4419-4421 (1987).

128. M. Orenstein, J. Katriel and S. Speiser, Nonlinear complex eikonal approximation: Optical bistability in absorbing media, Phys. Rev. A 35, 1192-1209 (1987).

129. M. Orenstein, J. Katriel and S. Speiser, Optical bistability in molecular systems exhibiting nonlinear absorption, Phys. Rev. A 35, 2175-2183 (1987).

130. J. Katriel, M. Rasetti and A.I. Solomon, Squeezed and coherent states of fractional bosons, Phys. Rev. D 35, 1248-1254 (1987).

131. J. Katriel and J. Paldus, Explicit expression for the product of the class of transpositions with an arbitrary class of the symmetric group, in Group Theoretical Methods in Physics, R. Gilmore, Ed., World Scientific, Singapore 1987. pp. 503-506 [MR1026700].

132. J. Katriel, M. Rasetti and A.I. Solomon, Group theoretical applications of generalized bose operators: fractional boson squeezed states for SU(2) and SU(1,1), in Group Theoretical Methods in Physics, R. Gilmore, Ed.,  World Scientific, Singapore 1987. pp 399-403 [MR1026684].

133. J. Katriel, Continued-fraction approximation for the inverse Brillouin function, Phys. Stat. Solidi (b) 139, 307-310 (1987).

134. A. Rosenhouse and J. Katriel, The Korteweg-deVries hierarchy of isospectral transformations: Towards a general explicit expression, J. Math. Phys. 28, 1344-1350 (1987) [MR0890005], [Zbl 0663.35073].

135. A. Rosenhouse and J. Katriel, Isospectral transformations in relativistic and nonrelativistic mechanics, Letters in Math. Phys. 13, 141-146 (1987) [MR0886150], [Zbl 0636.35078].

136. J. Katriel, M. Rasetti and A.I. Solomon, Generalized Holstein-Primakoff squeezed states for SU(n), Phys. Rev. D 35, 2601-2602 (1987) [MR0885051].

137. G. D'Ariano, S. Morosi, M. Rasetti, J. Katriel and A.I. Solomon, Squeezing versus photon number fluctuations, Phys. Rev. D 36, 2399-2407 (1987).

138. J. Katriel, A.I. Solomon, G. D'Ariano and M. Rasetti, Multi-photon squeezed states, J. Opt. Soc. Am. B 4, 1728-1736 (1987).

139. J. Katriel, M. Rasetti and A.I. Solomon, Squeezed states with a finite number of photons, J. Opt. Soc. Am. B 4, P186-P188 (1987).

140. A. Novoselsky, J. Katriel and R. Gilmore, Coefficients of fractional parentage in the L-S coupling scheme, J. Math. Phys. 29, 1368-1388 (1988) [MR0944451], [Zbl 0641.22012].

141. N. Lipkin, N. Moiseyev and J. Katriel, Bound and resonance states for isochronous potentials, Chem. Phys. Lett. 147, 603-607 (1988).

142. Z. Pawlowska, J. Oliker, G. F. Kventsel and J. Katriel, Sequences of magnetic phases in anisotropic systems with cubic symmetry, J. Physique (Paris) C8, 1555-1556 (1988).

143. G. M. D'Ariano, M. G. Rasetti, J. Katriel and A.I. Solomon, Multiphoton and fractional-photon squeezed states, in Squeezed and Nonclassical Light, P. Tombesi and E.R. Pike, Eds., Plenum, New York 1989, pp. 301-319.

144. J. Katriel, Products of class operators of the symmetric group, Intern. J. Quantum Chem. 35, 461-470 (1989) [Zbl 0875.20001].

145. A. Novoselsky, J. Katriel, M. Vallieres, J. Chen and R. Gilmore, Group theory and the shell model. II. Coefficients of fractional parentage for states of arbitrary symmetry, in Group Theoretical Methods in Physics Vol. XVII, Y. St. Aubin and L. Vinet, Eds., World Scientific, Singapore 1989,  pp. 580-586 [MR1134879 ].

146. A. Novoselsky, M. Vallieres, J. Chen, R. Gilmore, and J. Katriel, Group theory and the shell model. III. Isoscalar factors for multi-shell calculations, in Group Theoretical Methods in Physics, Vol. XVII, Y. St. Aubin and L. Vinet, Eds., World Scientific, Singapore 1989, pp. 587-593 [MR1134880 ].

147. A. Novoselsky, J. Katriel, M. Vallieres, J. Chen and R. Gilmore, Shell model calculations: an efficient new algorithm, Inter. J. Quantum Chem. 36, 325-339 (1989).

148. J. Katriel and A. Novoselsky, Term multiplicities in the  L-S coupling scheme, J. Phys. A 22, 1245-1251 (1989) [MR0994365 ].

149. Z. Pawlowska, J. Oliker, G.F. Kventsel and J. Katriel, Sequences of second order, first order and reentrant phase transitions in anisotropic systems with cubic symmetry, Phys. Rev. B 39, 7140-7148 (1989).

150. J. Katriel and M. A. Ratner, Selective solvation effects on mixed-valency species in mixed solvents, J. Phys. Chem. 93, 5065-5070 (1989).

151. J. Katriel, G.F. Kventsel and Z. Pawlowska, Equivalent Hamiltonians in mean-field theory of magnetic systems, Solid State Commun. 70, 769-771 (1989).

152. A. Novoselsky and J. Katriel, Non-spurious harmonic oscillator states with arbitrary symmetry, Ann. Phys. (N.Y.) 196, 135-149 (1989) [MR1026744], [Zbl 0875.35078].

153. J. Katriel and A.I. Solomon, Multi-mode, multi-photon coherent states, Quantum Optics 1, 85-90 (1989) [MR1033697].

154. A. Rosenhouse and J. Katriel, Linearization of the multiphoton single-atom Dicke Hamiltonian, Phys. Rev. A 41, 531-533 (1990).

155. A. Novoselsky and J. Katriel, Non-spurious harmonic oscillator states in single particle coordinates, J. Math. Phys. 31, 1164-1166 (1990) [MR1050470], [Zbl 0713.70022].

156. A. Rosenhouse and J. Katriel, Exact solution for spontaneous emission of the multiphoton single-atom Dicke Hamiltonian, Quantum Optics 2, 35-47 (1990).

157. A. Novoselsky and J. Katriel, Non-spurious harmonic oscillator states for many-body systems, in Recent Progress in Many Body Theories, Vol. 2, Y. Avishai, Ed., Plenum, New York, 1990, pp. 175-182.

158. M. Kibler and J. Katriel, On an alternative parametrization for the theory of complex spectra, Phys. Lett. A 147, 417-422 (1990).

159. A.I. Solomon and J. Katriel, On q-squeezed states, J. Phys. A 23, L 1209-1212 (1990) [MR1086262].

160. J. Katriel, A partial recurrence relation for reduced class coefficients of the symmetric group, Intern. J. Quantum Chem. 39, 593-604 (1991), [Zbl 0875.20003].

161. J. Katriel, Products of class-sums of the symmetric group: elimination of two-index cycles, Israel J. Chem. 31, 287-295 (1991) [Zbl 0875.20002].

162. J. Katriel and A. Solomon, Generalized q-bosons and their squeezed states, J. Phys. A 24, 2093-2105 (1991) [MR1117868], [Zbl 0736.17035].

163. J. Katriel and A. Novoselsky, Multi-cluster wavefunctions with arbitrary permutational symmetry, Ann. Phys. (N.Y.) 211, 1-23 (1991) [MR1128181].

164. J. Katriel and A. Novoselsky, Symmetry adapted non-spurious wavefunctions for multi-cluster systems, in First European Biennial Workshop on Nuclear Physics, D. Guinet and J.R. Pizzi, Eds., World Scientific, Singapore 1991.

165. J. Katriel, Some useful results concerning the representation theory of the symmetric group, J. Phys. A 24, 5227-5234 (1991) [MR1136966], [Zbl 0777.20006].

166. J. Katriel and A.I. Solomon, A q-analogue of the Campbell-Baker-Hausdorff expansion, J. Phys. A. 24, L 1139-1142 (1991) [MR1132320], [>Zbl 0754.17013].

167. A. Novoselsky and J.Katriel, Nonspurious harmonic oscillator states with arbitrary permutational symmetry in Group theoretical methods in physics , 483--486,[ Lecture Notes in Phys., 382,
>  Springer, Berlin, 1991]. [MR1140253].

168. R. Pauncz and J. Katriel, Eigenvalues of single-cycle class-sums in the symmetric group, Intern. J. Quantum Chem. 41, 147-151 (1992).

169. A. Novoselsky and J. Katriel, Non-spurious two-cluster harmonic oscillator wavefunctions, J. Phys. A. 25, L 177-182 (1992) [MR1151078].

170. J. Katriel and M. Kibler, Normal ordering for deformed boson operators and operator-valued deformed Stirling numbers, J. Phys. A. 25, 2683-2691 (1992) [MR1164371], [Zbl 0757.05016].

171. R. Gilmore and J. Katriel, Clebsch-Gordan series as a complete set of commuting operators, J. Phys. A. 25, 2253-2260 (1992) [MR1162881], [Zbl 0790.20028].

172. J. Katriel, Many particle Dirac identities, in Classical and Quantum SystemsFoundations and Symmetries, H.D. Doebner, W. Scherer and F. Schroeck, Eds., World Scientific, Singapore 1993, pp. 301-304 [MR1352905].

173. A.I. Solomon and J. Katriel, Quantum group applications in quantum optics, in Quantum Symmetries, H.D. Doebner and V.K. Dobrev, Eds., World Scientific, Singapore 1993, pp. 41-50[MR1339516].

174. J. Katriel, Representation-free evaluation of the eigenvalues of the class-sums of the symmetric group, J. Phys. A 26, L135-137 (1993) [MR1211074], [Zbl 0777.20007].

175. J. Katriel, Products of class-sums of the symmetric group: Generalizing the recurrence relations, Intern. J. Quantum Chem. 47, 243-260 (1993).

176. J. Katriel and R. Pauncz, Eigenvalues of single-cycle class-sums in the symmetric group. II, Intern. J. Quantum Chem. 48, 125-134 (1993).

177. A. Govari, A. Mann and J. Katriel, Fractional quantum Hall effect studied by means of a nonspurious basis set, Phys. Rev. B 48, 11404-11407 (1993).

178. A. I. Solomon and J. Katriel, Multi-mode q-coherent states, J. Phys. A 26, 5443-5447 (1993) [MR1248726], [Zbl 0811.17022].

179. A. Novoselsky and J. Katriel, Harmonic oscillator $SU_3$ states with arbitrary permutational symmetry, Ann. Phys. (N.Y.) 229, 55-75 (1994) [MR1257464], [Zbl 0789.22044].

180. A. Novoselsky and J. Katriel, Symmetrized harmonic oscillator
$SU_3$ states for multi-cluster systems, Z. Phys. A: Hadrons and Nuclei 349, 343-344 (1994).

181. A. Novoselsky and J. Katriel, Hyperspherical functions with arbitrary permutational symmetry, Phys. Rev. A 49, 833-846 (1994).

182. A.I. Solomon and J. Katriel, Time dependence of exotic coherent states, in Theories of Matter, A. Solomon, M. Balkanski and H.-R. Trebin, Eds., World Scientific, Singapore, 1994. pp. 245-252.

183. J. Katriel and A. I. Solomon, Nonideal lasers, nonclassical light, and deformed photon states, Phys. Rev. A 49, 5149-5151 (1994).

184. J. Katriel and A. I. Solomon, A no-go theorem for a Lie-consistent q-CBH expansion, J. Math. Phys. 35, 6172-6178 (1994) [MR1299945], [Zbl 0820.17022].

185. J. Katriel, A Conjecture concerning the evaluation of products of class-sums of the symmetric group, in Groups 1993-Galway/St. Andrews, C.M. Campbell, Ed., London Math. Soc. Lecture Note Series 212, Cambridge University Press 1995. pp. 322-332 [MR1337281], [Zbl 0853.20008].

186. A. Novoselsky and J. Katriel, Symmetry analysis of many-body wave functions - with applications to the nuclear shell model, Phys. Rev. C 51, 412-415 (1995).

187. J. Katriel, Permutations as minimal powers of a single-cycle class-sum, Europ. J. Combinatorics 16, 633-637 (1995) [MR1356852], [Zbl 0841.20018].

188. J. Katriel, B. Abdesselam and A. Chakrabarti, The fundamental invariant of the Hecke algebra $H_n(q)$ characterizes the representations of $H_n(q)$, $S_n$, $SU_q(N)$ and $SU(N)$,
J. Math. Phys. 36, 5139-5158 (1995). [q-alg/9501021], [MR1347137 ], [Zbl 0847.20041].

189. A. Novoselsky and J. Katriel, Symmetry adapted functions in hyperspherical coordinates, in Group Theoretical Methods in Physics XX, A. Arima, T. Eguchi and N. Nakanishi, Eds., World Scientific, Singapore 1995. pp. 365-368 [MR1413789 ], [Zbl 0937.81501].

190. T. Brzezi\'nski and J. Katriel, Representation-theoretic derivation of the Temperley-Lieb-Martin algebras, J. Phys. A 28, 5305-5312 (1995) [MR1364137], [Zbl 0867.20012].

191. J. Katriel and G. Duchamp, Ordering relations for q-boson operators, continued fraction techniques, and the q-CBH enigma, J. Phys. A 28, 7209-7225 (1995) [MR1381414 ], [Zbl 0880.17012].

192. A. Novoselsky, J. Katriel and R. Gilmore, Symmetry-adaptation of many-particle states with respect to both $O(4)$ and the symmetric group, Ann. Phys. (NY) 246, 166-189 (1996) [MR1372109 ], [Zbl 0870.22014].

193. J. Katriel, Explicit expressions for the central characters of the symmetric group, Discrete Appl. Math. 67, 149-156 (1996)[MR1393301], [Zbl 0853.05083].

194. J. Katriel, Combinatorial algorithms concerning the class-algebra of the symmetric group, Discrete Math. 157, 379-383 (1996).

195. J. Katriel, M. Rasetti and A. I. Solomon, The q-Zassenhaus formula, Lett. Math. Phys. 37, 11-13 (1996) [MR1392142], [Zbl 0846.05005].

196. J. Katriel and C. Quesne, Recursively minimally-deformed oscillators, J. Math. Phys. 37, 1650-1661 (1996). [q-alg/9512032], [MR1380866 ], [Zbl 0879.47048].

197. J. Katriel, B. Abdesselam and A. Chakrabarti, On the fundamental invariant of the Hecke algebra $H_n(q)$, in Statistical Models, Yang-Baxter equation and related topics, M. L. Ge and F. Y. Wu, Eds., World Scientific, Singapore 1996. pp. 182-189 [MR1636204].

198. J. Katriel, Class-sum products in the symmetric group: minimally-connected reduced class coefficients, Mathl. Comput. Modelling 26, 161-167 (1997) [MR1492506 ].

199. J. Katriel, Minimal set of class-sums characterizing the ordinary irreducible representations of the symmetric group, and the Tarry-Escott problem, Discrete Math. 173, 91-95 (1997) [MR1468843 ], [Zbl 0887.20005].

*** J. Katriel, B. Abdesselam and A. Chakrabarti, The character table of the Hecke algebra $H_n(q)$ in terms of traces of products of Murphy operators, [q-alg/9502018].

200. J. Katriel, Products of class-sums of the symmetric group: Rules of partial elimination, Intern. J. Quantum Chem. 63, 961-979 (1997).

201. J. Katriel, Number theory and the characterization of the irreducible
representations of the symmetric group, in Group Theoretical Methods in Physics: Physical Applications and Mathematical Aspects of Geometry, Groups and Algebras, XXI(1), H.-D. Doebner, P. Nattermann and W. Scherer, Eds., World Scientific, Singapore 1997. pp. 127-131.

202. A. Novoselsky, J. Katriel and R. Gilmore, $O(4)$ and permutational symmetry-adapted states, in Group Theoretical Methods in Physics: Physical Applications and Mathematical Aspects of Geometry, Groups and Algebras, XXI(1), H.-D. Doebner, P. Nattermann and W. Scherer, Eds., World Scientific, Singapore 1997. pp. 218-222.

203. J. Katriel, Class-sum products in the symmetric group: Combinatorial interpretation of the reduced class-coefficients, Intern. J. Quantum Chem. 68, 103-118 (1998).

204. J. Katriel, Stirling number identities: Interconsistency of $q$-analogues, J. Phys. A 31, 3559-3572 (1998).

205. J. Katriel, Products of arbitrary class-sums in the symmetric group, Intern. J. Quantum Chem. 70, 429-440 (1998).

206. J. Katriel, The central characters of the symmetric group as formal polynomials: class-algebraic applications, in Proc. 5'th Wigner Symposium, P. Kasperkovitz and D. Grau, Eds., World Scientific, Singapore 1998. pp. 100-102.

207. J. Katriel, Commutativity of supersymmetry with the isospectral transformations generated by the KdV hierarchy, in Symmetry and Perturbation Theory, A. Degasperis and G. Gaeta, Eds., World Scientific , Singapore 1999. pp. 197-201 [MR1844118], [
Zbl 0962.35156].

208. J. Katriel, Many-particle Dirac identities for arbitrary elementary spins, Intern. J. Quantum Chem. 78, 407-411 (2000).

209. J. Katriel and G. F. Kventsel, Treatment of the exchange interaction model by means of the symmetric group, Phys. Rev. B 62, 12350-12353 (2000).

210. J. Katriel, Bell numbers and coherent states, Phys. Lett. A 273, 159-161 (2000) [MR1781137].

211. J. Katriel, Permutational symmetry of many-particle spin-functions: The Dirac identities, in Spin-Statistics Connection and Commutation Relations, R. C. Hilborn and G. M. Tino, Eds., American Institute of Physics, Melville, New York 2000. pp. 79-84.

212. J. Katriel, Weights of the total spins for systems of permutational symmetry adapted spin-1 particles, Theochem 547, 1-11 (2001).

213. J. Katriel and A. I. Georgieva, q-similarity transformations, Phys. Lett. A 280, 246-248 (2001) [MR1820273], [Zbl 0984.81063].

214. J. Katriel, F. Zahariev, and K. Burke, Symmetry and degeneracy in density functional theory, Int. J. Quant. Chem. 85, 432-435 (2001).

215. J. Katriel, The exchange interaction, spin hamiltonians, and the symmetric group, in Graphs, Morphisms and Statistical Physics, J. Nesetril and P. Winkler, Eds., American Mathematical Society, 2002. [MR2056228], [Zbl 1070.82008].

216. J. Katriel, Refined Stirling numbers: Enumeration of special sets of permutations and set-partitions, J. Combinatorial Theory A, 99, 85-94 (2002) [MR1911458], [Zbl 1013.05009].

217. J. Katriel and F. Zahariev, Hamiltonian formulation of weighted-ensemble density functional theory, Phys. Rev. A 65, 024501 (2002).

218. J. Katriel, Coherent states and combinatorics, J. Opt. B: Quantum Semiclass. Opt. 4, S200-S203 (2002) [MR1920218].

219. J. Katriel, Extracting the information content of $q$-analogues: Application to the singular $q$-Stirling number identities, Proc. 6$^{\mbox{th}}$ International Wigner Symposium, 697-707 (2002).

220. S. C. Tekin and J. Katriel, Products of class-sums of the alternating group, Publicationes Mathematicae 62, 43-52 (2003). [MR1956800], [Zbl 1017.20004].

221. J. Katriel, A nonlinear Bogoliubov transformation, Phys. Lett. A 307, 1-7 (2003). [MR1969520], [Zbl 1006.70016].

222. J. Katriel, Weights of spin and permutational-symmetry adapted states for arbitrary elementary spins, in Fundamental World of Quantum Chemistry, Vol III, E. Brandas and E. Kryachko, Eds. (2004).

223. J. Katriel, Deformations of algebras and the many-body problem, Turkish J. Phys. [Special issue on Quantum Groups, Deformations and
Contractions]  (accepted for publication).

224. J. Katriel, S. Roy and M. Springborg, A study of the adiabatic connection for two-electron systems, J. Chem. Phys. 121, 12179-12190 (2004).

225. J. Katriel, S. Roy and M. Springborg, Effect of the one-body potential on interelectronic correlation in two-electron systems, J. Chem. Phys. 123, 104104-(1-6) (2005).

226. J. Katriel, S. Roy and M. Springborg, Non-universality of commonly used correlation-energy density-functionals, J. Chem. Phys. 124, 234111 -(1-11) (2006).

227. V. N. Staroverov, G. E. Scuseria, J. P. Perdew, E. R. Davidson and J. Katriel, Note on the high-density limit of the Perdew-Burke-Ernzerhof generalized gradianet approximation and related density functionals, Phys. Rev. A., 74, 044501-(1-4) (2006).

228. K. D. Sen and J. Katriel, Information entropies for eigendensities of homogeneous potentials, J. Chem. Phys. 125, 074117-(1-4) (2006).

229. J. Katriel, M. Bauer, M. Springborg, S. P. McCarthy and A. J. Thakkar, A non-local Wigner-like correlation energy density functional: Parameterization and tests on two-electron systems, J. Chem. Phys. 127, 024101-(1-11) (2007).