Graphical method of evaluation of matrix elements in the second quantization representation

Physica Scripta

Volumn 63, Issue 4, 2001, Pages 289-305

  Merkelis, Gintaras ^a  

^a VILNIUS UNIVERSITY   (Lithuania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035308793     PISSN: 00318949     EISSN: None     Source Type: Journal    
DOI: 10.1238/Physica.Regular.063a00289     Document Type: Article

References (31)

1. Jucys A. P., Levinson I. B. and Vanagas V. V., "Mathematical apparatus of the theory of angular momentum", (Israel program for scientific translation, Jerusalem, 1962), [English translation].
2. Brink, D. M. and Satchler, G. R., "Angular Momentum" (2nd edition), (Clarendom Press, Oxford, 1968).
3. Jucys, A. P. and Bandzaitis, A. A., "Theory of Angular Momentum in Quantum Mechanics," (Mokslas, Vilnius, 1977), (2nd edition).
4. Varshalovich, D. A. Moskalev, A. N. and Khersonskii, V., K., "Quantum Theory of Angular Momentum" (Singapore: World Scientific, 1988).
5. Bolotin, A., Levinson, I., and Tolmachev V., Liet. Fiz. Rink., 4, 25 (1964).
6. Briggs, J. S., Rev. Mod. Phys., 41, 189 (1971).
7. Matulis, A. and Bandzaitis, A., Liet. Fiz. Rink., 5, 289 (1965).
8. Matulis, A., Našlenas, E. and Bandzaitis, A., Liet. Fiz. Rink. 5, 453 (1965).
9. Tolmachev, V., Adv. Chem. Phys., 14, 421 (1969).
10. Sandars, P. G. H., Adv. Chem. Phys., 14, 365 (1969).
11. Jucys, A. P., Rudzikas, Z. B. and Bandzaitis, A. A., Liet. Fiz. Rink., 5, 1 (1965).
12. G. Komuntavičius, G., Liet. Fiz. Rink., 7, 553 (1967).
13. El Bas E. and Castel, B., "Graphical Methods of Spin Algebras in Atomic, Nuclear, and Particle Physics," (Dekker, New York, 1972).
14. Keh-Ning Huang, Rev. Mod. Phys. 51, 216 (1979).
15. Lindgren, I. and Morrison, M., "Atomic Many-Body Theory" (Springer Series in Chemical Physics, vol. 13, 2nd edition) (Springer-Verlag, Berlin 1982).
16. Judd, B. R., "Second Quantization in Atomic Spectroscopy," (Johns Hopkins, Baltimore, 1967).
17. Armstrong, L., Jr., Phys. Rev., 172, 18 (1968).
18. Rudzikas, Z. and Kaniauskas, J., "Quasispin and Isospin in the Theory of Atom," (Mokslas, Vilnius, 1984).
19. Merkelis, G. and Gaigalas, G., "Irreducible tensorial form of effective operator in the perturbation theory of open-shells atoms" (In abstracts of conference "Theory of Atoms and Atomic Spectra", Minsk . Beloruskaja SSR, 1983).
20. Merkelis, G., Kaniauskas, J. and Rudzikas, Z., Liet. Fiz. Rink., 25, 21 (1985).
21. Merkelis, G., Gaigalas, G. and Rudzikas, Z., Liet. Fiz. Rink. 25, 14 (1985).
22. Merkelis, G., Gaigalas G., Kaniauskas J. and Rudzikas Z., Izvestija vuzov (ser. fizicheskaja), 50, 1403 (1986).
23. Gaigalas, G., and Merkelis, G. Acta Phys. Hungarica 61, 111 (1987).
24. Merkelis, G., Physica Scripta 61, 662, (2000).
25. Merkelis, G., Lithuanian J. Phys. 38, 247 (1998).
26. Grant I. P., "Methods in Comput. Chem.", (Plenum Press, New York, ed. S. Wilson) 2, 1 (1988).
27. Uylings, P. H. M., J. Phys. B25, 4391 (1992).
28. Gaigalas, G. and Rudzikas, Z., J. Phys., B29, 3303 (1996).
29. Gaigalas, G., Rudzikas, Z. and Froese Fischer, Ch., J. Phys. B30, 15, 3747 (1996).
30. Gaigalas, G., Kaniauskas, J. and Rudzikas, Z., Liet. Fiz. Rink., 25, 3 (1985).
31. Rudzikas, Z., "Theoretical Atomic Spectroscopy" (Cambridge, Cambridge Univ. Press, 1997).