Variational approach to a hydrogen atom in a uniform magnetic field of arbitrary strength

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 62, Issue 5, 2000, Pages 052509-052501

  Bachmann, M ^a   Kleinert, H ^a   Pelster, A ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BINDING ENERGY; ELECTRON TRANSITIONS; GROUND STATE; HYDROGEN; MAGNETIC FIELDS; PERTURBATION TECHNIQUES; RECURSIVE FUNCTIONS; STATISTICAL MECHANICS; VARIATIONAL TECHNIQUES;

FEYNMAN-KLEINERT VARIATIONAL METHOD; VARIATIONAL PERTURBATION THEORY;

QUANTUM THEORY;

EID: 4243711172     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.62.052509     Document Type: Article

References (26)

1. J.C. Le Guillou and J. Zinn-Justin, Ann. Phys. (N.Y.) 147, 57 (1983).
2. J.E. Avron, B.G. Adams, J. Čížek, M. Clay, M.L. Glasser, P. Otto, J. Paldus, and E. Vrscay, Phys. Rev. Lett. 43, 691 (1979).
3. B.G. Adams, J.E. Avron, J. Čížek, P. Otto, J. Paldus, R.K. Moats, and H.J. Silverstone, Phys. Rev. A 21, 1914 (1980).
4. V.A. Gani, A.E. Kudryavtsev, and V.M. Weinberg, e-print physics/9708005.
5. I.D. Feranshuk and L.I. Komarov, J. Phys. A 17, 3111 (1984).
6. L.D. Landau and E.M. Lifschitz, Quantenmechanik, (Akademie-Verlag, Berlin, 1979).
7. R. Loudon, Am. J. Phys. 27, 649 (1959).
8. L.K. Haines and D.H. Roberts, Am. J. Phys. 37, 1145 (1969).
9. R. Cohen, J. Lodenquai, and M. Ruderman, Phys. Rev. Lett. 25, 467 (1970).
10. M.V. Ivanov and P. Schmelcher, Phys. Rev. A 61, 022505 (2000).
11. Atoms and Molecules in Strong External Fields, edited by P. Schmelcher and W. Schweizer (Plenum Press, New York, 1998).
12. J.S. Heyl and L. Hernquist, Phys. Rev. A 58, 3567 (1998).
13. H. Ruder, G. Wunner, H. Herold, and F. Geyer, Atoms in Strong Magnetic Fields (Springer-Verlag, Berlin, 1994).
14. J.T. Devreese and F. Brosens, in Elementary Excitations in Solids, edited by J.L. Birman, C. Sébenne, and R. F. Wallis (Elsevier, Amsterdam, 1992), p. 263.
15. J.T. Devreese and F. Brosens, Solid State Commun. 79, 819 (1991).
16. J.T. Devreese and F. Brosens, Phys. Rev. B 45, 6459 (1992).
17. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics, 2nd ed. (World Scientific, Singapore, 1995).
18. R.P. Feynman and H. Kleinert, Phys. Rev. A 34, 5080 (1986); see also Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics (Ref. [17]), Chap. 5.
19. R.P. Feynman and H. Kleinert, Phys. Rev. A 34, 5080 (1986); see also Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics (Ref. [17]), Chap. 5.
20. M. Bachmann, H. Kleinert, and A. Pelster, Phys. Rev. A 60, 3429 (1999); e-print quant-ph/9812063.
21. H. Kleinert, W. Kürzinger, and A. Pelster, J. Phys. A 31, 8307 (1998); e-print quant-ph/9806016.
22. H. Kleinert, A. Pelster, and M. Bachmann, Phys. Rev. E 60, 2510 (1999); e-print quant-ph/9902051.
23. C. Kouveliotou, S. Dieters, T. Strohmayer, J. van Paradijs, G.J. Fishman, C.A. Meegan, K. Hurley, J. Kommers, I. Smith, D. Frail, and T. Murakami, Nature (London) 393, 235 (1998); K. Hurley, P. Li, C. Kouveliotou, T. Murakami, M. Ando, T. Strohmayer, J. van Paradijs, F. Vrba, C. Luginbuhl, A. Yoshida, and I. Smith, Astrophys. J. 510, L111 (1998); C. Kouveliotou, T. Strohmayer, K. Hurley, J. van Paradijs, M.H. Finger, S. Dieters, P. Woods, C. Thompson, and R.C. Duncan, ibid. 510, L115 (1998).
24. C. Kouveliotou, S. Dieters, T. Strohmayer, J. van Paradijs, G.J. Fishman, C.A. Meegan, K. Hurley, J. Kommers, I. Smith, D. Frail, and T. Murakami, Nature (London) 393, 235 (1998); K. Hurley, P. Li, C. Kouveliotou, T. Murakami, M. Ando, T. Strohmayer, J. van Paradijs, F. Vrba, C. Luginbuhl, A. Yoshida, and I. Smith, Astrophys. J. 510, L111 (1998); C. Kouveliotou, T. Strohmayer, K. Hurley, J. van Paradijs, M.H. Finger, S. Dieters, P. Woods, C. Thompson, and R.C. Duncan, ibid. 510, L115 (1998).
25. C. Kouveliotou, S. Dieters, T. Strohmayer, J. van Paradijs, G.J. Fishman, C.A. Meegan, K. Hurley, J. Kommers, I. Smith, D. Frail, and T. Murakami, Nature (London) 393, 235 (1998); K. Hurley, P. Li, C. Kouveliotou, T. Murakami, M. Ando, T. Strohmayer, J. van Paradijs, F. Vrba, C. Luginbuhl, A. Yoshida, and I. Smith, Astrophys. J. 510, L111 (1998); C. Kouveliotou, T. Strohmayer, K. Hurley, J. van Paradijs, M.H. Finger, S. Dieters, P. Woods, C. Thompson, and R.C. Duncan, ibid. 510, L115 (1998).
26. T.O. Klaassen, J.L. Dunn, and C.A. Bates, in Atoms and Molecules in Strong External Fields (Ref. [11]).