Sturmian basis functions for the harmonic oscillator

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 60, Issue 2, 1999, Pages 812-826

  Antonsen, Frank ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002144866     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.60.812     Document Type: Article

References (27)

1. H. Shull and P. O. Löwdin, J. Chem. Phys. 30, 617 (1959)
2. the method has a longer history, and goes back to at least two very early papers: P. S. Epstein, Proc. Natl. Acad. Sci. USA 12, 637 (1926)
3. Proc. Natl. Acad. Sci. USAB. Podolski, 14, 253 (1928).
4. M. Rotenberg, Adv. At. Mol. Phys. 6, 233 (1970)
5. M. RotenbergAnn. Phys. (N.Y.) 19, 262 (1962).
6. J. Avery, Hyperspherical Harmonics: Applications in Quantum Theory (Kluwer, Dordrecht, 1989).
7. J. Avery and D. Herschbach, Int. J. Quantum Chem. 41, 673 (1992).
8. V. Aquilanti and J. Avery, Chem. Phys. Lett. 267, 1 (1997).
9. J. Avery, J. Math. Chem. 21, 285 (1997)
10. J. AveryAdv. Quantum Chem. 31, 201 (1999).
11. J. Avery and F. Antonsen, J. Math. Chem. 24, 175 (1998).
12. C. M. Bender and L. M. A. Bettencourt, Phys. Rev. Lett. 77, 4114 (1996)
13. C. M. BenderL. M. A. BettencourtPhys. Rev. D 54, 7710 (1996)
14. C. M. Bender and T. T. Wu, Phys. Rev. 184, 1231 (1969).
15. T. Kunihiro, Phys. Rev. D 57, R2035 (1998).
16. B. Bacus, Y. Meurice, and A. Soemadi, J. Phys. A 28, L381 (1995).
17. W. Janke and H. Kleinert, Phys. Lett. A 206, 283 (1995)
18. W. JankeH. KleinertPhys. Rev. Lett. 75, 2787 (1995)
19. F. Vinette and J. Čižek, J. Math. Phys. 32, 3392 (1991)
20. L. Salasnick, preprint quant-ph/9803069;
21. S. Biswas, K. Datta, R. Sexena, P. Srivastava, and V. Varma, J. Math. Phys. 14, 1190 (1973).
22. P. Caldirola, Nuovo Cimento 18, 393 (1941)
23. E. Kanai, Prog. Theor. Phys. 3, 440 (1948)
24. A. Mostafazadeh, Phys. Rev. A 55, 4084 (1997)
25. A. MostafazadehJ. Phys. A 31, 6495 (1998)
26. S. S. Safanov, e-print, quant-ph/9802057.
27. V. V. Dodonov and V. I. Man’ko, Phys. Rev. A 20, 550 (1979).