Generalized hypervirial and recurrence relations for radial matrix elements in arbitrary dimensions

Modern Physics Letters A

Volumn 20, Issue 20, 2005, Pages 1533-1540

  Dong, Shi Hai ^a   Lozada Cassou, M ^a  

^a INSTITUTO MEXICANO DEL PETRÓLEO   (Mexico)

Author keywords

Matrix elements; Recurrence relations; Second hypervirial

Indexed keywords

ARTICLE; CALCULATION; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; OSCILLATOR;

EID: 21444460580     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732305016609     Document Type: Article

References (25)

1. I. Waller, Z. Phys. 38, 644 (1926);
2. J. H. Van Vleck, Proc. R. Soc. London, Ser. A 143, 679 (1934).
3. S. Pasternack, Proc. Natl. Acad. Sci. 23, 91; 250 (1937).
4. S. Pasternack and R. M. Sternheimer, J. Math. Phys. 3, 1280 (1962).
5. L. Armstrong, Jr., Phys. Rev. A3, 1546 (1971).
6. Y. B. Ding, J. Phys. A20, 6293 (1987).
7. H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms (Academic Press, 1957).
8. P. Blanchard, J. Phys. B7, 993 (1974).
9. K. Bockasten, Phys. Rev. A9, 1087 (1974);
10. D. E. Hughes, J. Phys. B10, 3167 (1977).
11. G. W. F. Drake and R. A. Swaninson, Phys. Rev. A42, 1123 (1990);
12. R. A. Swainson and G. W. F. Drake, J. Phys. B23, 1079 (1990).
13. P. C. Ojha and D. S. Crothers, J. Phys. B17, 4797 (1984);
14. J. Shertzer, Phys. Rev. A44, 2832 (1991).
15. B. Moreno, A. L. Piñeiro and R. H. Tipping, J. Phys. A24, 385 (1991).
16. W. C. Qiang and S. H. Dong, Physica Scripta 70, 276 (2004).
17. H. A. Kramers, Quantum Mechanics (North-Holland, 1957), Sec. 59.
18. M. L. Sánchea, B. Moreno and A. López Piñeiro, Phys. Rev. A46, 6908 (1992).
19. J. Morales, J. J. Peña, P. Portillo, G. Ovando and V. Gaftoi, Int. J. Quanum Chem. 65, 205 (1997).
20. H. N. Núñez-Yépez, J. L. Lopez-Bonilla and A. L. Salas-Brito, J. Phys. B28, L525 (1995).
21. R. P. Martínez-y-Romero, H. N. Núñez-Yépez and A. L. Salas-Brito, J. Phys. B34, 1261; L71 (2001).
22. S. H. Dong, C. Y. Chen and M. Lozada-Cassou, Phys. Lett. A333, 193 (2004).
23. A. Erdelyi, Higher Transcendental Functions (McGraw-Hill, 1953), Vol. 2, p. 232.
24. L. Y. Wang, X. Y. Gu, Z. Q. Ma and S. H. Dong, Found. Phys. Lett. 15, 569 (2002).
25. N. A. Alves and E. Drigo Filho, J. Phys. A21, 215 (1988).