יעקב כתריאל

יעקב כתריאל

פרופסור אמריטוס
972-4-4-8293824+
972-4-4-8295703+
420
מבנה אלקטרוני של אטומים תורת ההצגות של החבורה הסימטרית

Born on February 20, 1945, in Petach Tikva, Israel.
B.Sc. (Summa cum laude), Technion 1967. M.Sc., Technion, 1970. D.Sc., Technion, 1972.
Nuclear Research Center – Negev: 1967-1973.
Technion: Lecturer 1973, Senior Lecturer 1974, Associate Professor 1976, Professor 1982.
Head, Physical Chemistry Division, 1984-1986. Chairman, Dept. of Chemistry, 1989-1991.
Chairman, Audit and Control Committee, Technion Faculty Union, 1997-1999.
Incumbent, Abronson Family Chair of Chemistry, 1989-2004. Professor Emeritus, since 2004.
Nazareth Academic Institute: Chairman, Department of Chemistry, and Chairman of the Supreme Academic Council, 2010-2013.
Sabbaticals and other long academic visits (Department of Chemistry, unless otherwise indicated): Oxford University. Universit´e de Paris-Sud (Orsay). University of North Carolina.
Joint Institute for Laboratory Astrophysics, University of Colorado and National Bureau of Standards. University of Washington. Institut de Physique Nucl´eaire, Universit´e Claude Bernard, Lyon. Department of Applied Mathematics, University of Waterloo, Ontario,Canada. Department of Physics, Drexel University, Philadelphia. Northwestern University.Centre de Physique Th´eorique, Ecole Polytechnique, Palaiseau, France. Institut Blaise Pascal, Universit´e de Paris VII, Paris. Physique Th´eorique et Math´ematique, Univesit´e Libre de Bruxelles. Nuclear Research Institute of the Hungarian Academy of Sciences,Debrecen. Rutgers University. Department of Mathematics, Massachusetts Institute of Technology. Saarland University, Saarbruecken. University of Waikato, Hamilton, New Zealand. Hyderabad Central University, India. Institut Poincar´e, Paris. Institute of Physics,
Slovak Academy of Sciences, Bratislava. Institute of Advanced Studies, University of Bologna.

1. J. Katriel and G. Adam, Molecular integrals over generalized Hermite-Gaussian functions,
J. Chem. Phys. 51, 3709-3712 (1969).
2. J. Katriel and G. Adam, Exact analytic evaluation of the H+
2 force constant,
Chem. Phys. Lett. 8, 191-194 (1971).
3. J. Katriel, An interpretation of Hunds rule, Theoret. Chim. Acta 26, 163-170 (1972).
4. J. Katriel, Combinatorial aspects of boson algebra, Lett. Nouv. Cim. 10, 565-567 (1974).
5. K. Murat and J. Katriel, The lowest triplet state of the biexciton may be bound,
Phys. Lett. A 71, 143-145 (1979).
6. J. Katriel and E.R. Davidson, Shellwise virial scaling: An approximation for atomic hole
states, Intern. J. Quantum Chem. 18, 1049-1055 (1980).
7. 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.
8. J. Katriel, Reduction of the excited state into the ground state of a super-Hamiltonian,
Intern. J. Quantum Chem. 23, 1767-1780 (1983).
9. M. Orenstein, S. Speiser and J. Katriel, An eikonal approximation for non linear resonators
exhibiting bistability, Opt. Comm. 48, 367-373 (1984).
10. J. Katriel and A. Rosenhouse, The classical limit of the Korteweg deVries hierarchy of
isospectral transformations, Phys. Rev. D 32, 884-890 (1985). MR0803860.
11. J. Katriel, M. Rasetti and A. I. Solomon, Generalized Holestein-Primakoff squeezed
states for SU(n), Phys. Rev. D 35, 2601-2602 (1987).
12. 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.
13. J. Katriel and A. Novoselsky, Multi-cluster wavefunctions with arbitrary permutational
symmetry, Ann. Phys. (N.Y.) 211, 1-23 (1991). MR1128181.
14. 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.
15. 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).
16. J. Katriel, Permutations as minimal powers of a single-cycle class-sum,
Europ. J. Combinatorics 16, 633-637 (1995). MR1356852.
17. J. Katriel, B. Abdesselam and A. Chakrabarti, The fundamental invariant of the Hecke algebra Hn(q) characterizes the representations of Hn(q), Sn, SUq(N) and SU(N),
J. Math. Phys. 36, 5139-5158 (1995). MR1347137, Zbl 0847.20041.
18. J. Katriel, Explicit expressions for the central characters of the symmetric group,
Discrete Appl. Math. 67, 149-156 (1996). MR1393301.
19. J. Katriel and C. Quesne, Recursively minimally-deformed oscillators,
J. Math. Phys. 37, 1650-1661 (1996). MR1380866, Zbl 0879.47048.
20. 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.
21. J. Katriel, Products of arbitrary class-sums in the symmetric group,
Intern. J. Quantum Chem. 70, 429-440 (1998).
22. J. Katriel, F. Zahariev and K. Burke, Symmetry and degeneracy in density functional
theory, Intern. J. Quantum Chem. 85, 432-435 (2001).
23. J. Katriel, Refined Stirling numbers: Enumeration of special sets of permutations and
set-partitions, J. Comb. Theory A 99, 85-94 (2002). MR1911458, Zbl 1013.05009.
24. J. Katriel, Coherent states and combinatorics,
J. Opt. B: Quantum Semiclass. Opt. 4, S200-S203 (2002). MR1920218.
25. 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).
26. J. Katriel, S. Roy and M. Springborg, Non-universality of commonly used correlation -energy density-functionals, J. Chem. Phys. 124, 234111-(1-11) (2006).
27. J. Katriel and V. Buˇzek, Multipartite EPR states, Mol. Phys. 106, 497-508 (2008).
28. Z. Li, C. Bao and J. Katriel, Equilibrium population of spin components in a trapped spin-1 Bose gas, Phys. Rev. A 77, 023614-(1-2) (2008).
29. J. Katriel, A multitude of expressions for the Stirling numbers of the first kind,
Integers: Electronic J. Comb. Number Theory (#A22) 10, 273-297 (2010).
MR2652565, Zbl 1246.11060.
30. J. Katriel and R. Gilmore, Entropy of bounding tori,
Entropy 12, 953-960 (2010). MR2644520, Zbl 1229.37015.
31. J. Katriel, The splitting of atomic orbitals with a common principal quantum number revisited: np vs. ns, J. Chem. Phys. 136, 144112-(1-8) (2012).
32. J. Katriel and H. E. Montgomery, Jr., The virial theorem for the smoothly and sharply, penetrably and impenetrably confined hydrogen atom,
J. Chem. Phys. 137, 114109-(1-7) (2012).
33. J. Katriel, M. Puchalski and K. Pachucki, Binding energies of the lithium isoelectronic sequence approaching the critical charge, Phys. Rev. A, 86, 042508-(1-5) (2012).
34. J. Katriel, G. Gaigalas and M. Puchalski, Quantum defects at the critical charge,
J. Chem. Phys. 138, 224305-(1-9) (2013).
35. J. Katriel, J. P. Marques, P. Indelicato, A. M. Costa, M. C. Martins, J. P. Santos and
F. Parente, Approach towards the critical charge of some excited states of the Be
isoelectronic series, Phys. Rev. A 90, 052519 (2014).
36. A Bonfiglioli and J. Katriel, Generating q-commutator identities and the q-BCH formula,
Adv. Math. Phys. 2016, Article ID 9598409, 26 pages (2016).
MR3566544, Zbl 1353.05024.
37. J. Katriel and H. E. Montgomery, Jr., Atomic vs. quantum dot open shell spectra,
J. Chem. Phys. 146, 064104-(1-10) (2017).