Gauge fields and extrapotentials in constrained quantum systems

Physical Review A. Atomic, Molecular, and Optical Physics

Volumn 63, Issue 4, 2001, Pages 421121-4211220

  Mitchell, Kevin A ^a  

^a The College of William and Mary   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; KINETIC ENERGY; MATHEMATICAL OPERATORS; MOLECULAR STRUCTURE; PERTURBATION TECHNIQUES; TENSORS; WAVEGUIDES;

GAUGE FIELDS; QUANTUM STRIP WAVEGUIDES;

QUANTUM THEORY;

EID: 17144438142     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (33)

1. H. Koppe, and H. Jensen, Sitzungsber. Heidelb. Akad. Wiss. Math.-Naturwiss. Kl. 5, 123 (1971).
2. N.G. van Kampen, Phys. Rep. 124, 69 (1985).
3. R.A. Marcus, J. Chem. Phys. 45, 4493 (1966).
4. H. Jensen and H. Koppe, Ann. Phys. (N.Y.) 63, 586 (1971).
5. E. Switkes, E.L. Russel, and J.L. Skinner, J. Chem. Phys. 67, 3061 (1977).
6. R.C.T. da Costa, Phys. Rev. A 23, 1982 (1981).
7. R.C.T. da Costa, Phys. Rev. A 25, 2893 (1982).
8. R.C.T. da Costa, Lett. Nuovo Cimento 36, 393 (1983).
9. N.G. van Kampen and J.J. Lodder, Am. J. Phys. 52, 419 (1984).
10. R.C.T. da Costa, Eur. J. Phys. 7, 269 (1986).
11. L. Kaplan, N.T. Maitra, and E.J. Heller. Phys. Rev. A 56, 2592 (1997).
12. B.S. DeWitt, Rev. Mod. Phys. 29, 377 (1957).
13. R.F. Alvarez-Estrada, Phys. Rev. A 46, 3206 (1992).
14. M.V. Berry, Proc. R. Soc. London, Ser. A 392, 45 (1984).
15. R.G. Littlejohn and M. Reinsch, Rev. Mod. Phys. 69, 213 (1997).
16. P. Exner and P. Seba, J. Math. Phys. 30, 2574 (1989).
17. P. Exner, Phys. Lett. A 141, 213 (1989).
18. M.S. Ashbaugh and P. Exner, Phys. Lett. A 150, 183 (1990).
19. P. Duclos and P. Exner, Rev. Math. Phys. 7, 73 (1995).
20. S. Lang, Fundamentals of Differential Geometry (Springer-Verlag, New York, 1999).
21. L. Vanhecke, Rend. Sem. Fac. Sci. Univ. Cagliari., 58 suppl., 73 (1988).
22. C. W. Misner. K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman and Co., New York, 1973).
23. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I (John Wiley & Sons, New York, 1963).
24. M. Spivak, A Comprehensive Introduction to Differential Geometry (Publish or Perish, Berkeley, 1979), Vol. 2.
25. T. Eguchi, P.B. Gilkey, and A.J. Hanson, Phys. Rep. 66, 213 (1980).
26. B. Simon, Phys. Rev. Lett. 51, 2167 (1983).
27. C.A. Mead, Rev. Mod. Phys. 64, 51 (1992).
28. D. Papoušek and M. R. Aliev, Molecular Vibrational-Rotational Spectra (Elsevier Scientific Publishing, Amsterdam, 1982).
29. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. II (John Wiley & Sons, New York, 1969).
30. B. O'Neill, Michigan Math. J. 13, 459 (1966).
31. K.A. Mitchell and R.G. Littlejohn, Mol. Phys. 96, 1305 (1999).
32. A. Nauts and X. Chapuisat, Mol. Phys. 55, 1287 (1985).
33. X. Chapuisat, A. Belafhal, and A. Nauts, J. Mol. Spectrosc. 149, 274 (1991).