Classical evolution of quantum elliptic states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 59, Issue 3, 1999, Pages 2139-2145

  Bellomo, Paolo ^a   Stroud Jr , C R ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HYDROGENIC EIGENSTATES; KEPLER PROBLEM; QUANTUM ELLIPTIC STATES; RYDBERG ELECTRON;

HYDROGEN; KINETIC ENERGY; MICROWAVES; PERTURBATION TECHNIQUES; PHOTONS; POLARIZATION;

QUANTUM THEORY;

EID: 0000739414     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.2139     Document Type: Article

References (39)

1. I. Amato, Science 273, 307 (1996).
2. T.F. Gallagher, Rydberg Atoms (Cambridge University Press, Cambridge, 1994).
3. M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990).
4. X. Sun and K.B. MacAdam, Phys. Rev. A 47, 3913 (1993).
5. P. Bellomo, D. Farrelly, and T. Uzer, J. Chem. Phys. 107, 2499 (1997).
6. P. Bellomo, D. Farrelly, and T. Uzer, J. Chem. Phys. 108, 5295 (1998).
7. M. Gross and J. Liang, Phys. Rev. Lett. 57, 3160 (1986).
8. R.R. Jones, P. Fu, and T.F. Gallagher, J. Chem. Phys. 106, 3578 (1997).
9. P. Bellomo, D. Farrelly, and T. Uzer, J. Phys. Chem. 101, 8902 (1997).
10. P. Bellomo, D. Farrelly, and T. Uzer, J. Chem. Phys. 108, 402 (1998).
11. P. Kappertz and M. Nauenberg, Phys. Rev. A 47, 4749 (1993).
12. P. Bellomo, C.R. Stroud, Jr., D. Farrelly, and T. Uzer, Phys. Rev. A 58, 3896 (1998).
13. Y.N. Demkov, B.S. Monozon, and V.N. Ostrovsky, Zh. Éksp. Teor. Fiz. 57, 1431 (1969)
14. [Sov. Phys. JETP 30, 775 (1970)].
15. Y. N. Demkov, V. N. Ostrovsky, and E. A. Solov'ev, Zh. Éksp. Teor. Fiz. 66, 125 (1974)
16. [Sov. Phys. JETP 39, 57 (1974)].
17. W. Pauli, Z. Phys. 36, 336 (1926).
18. M.J. Englefield, Group Theory and the Coulomb Problem (John Wiley & Sons, New York, 1972).
19. J.R. Klauder and B.S. Skagerstam, Coherent States (World Scientific, Singapore, 1985).
20. A. Perelomov, Generelized Coherent States and their Applications (Springer, Berlin, 1986).
21. J.C. Gay, D. Delande, and A. Bommier, Phys. Rev. A 39, 6587 (1989).
22. A. Bommier, D. Delande, and J.C. Gay, in Atoms in Strong Fields, edited by C.A. Nicolaides, C.W. Clark, and H.M. Nayfeh (Plenum Press, New York, 1990), p. 155.
23. C. Lena, D. Delande, and J.C. Gay, Europhys. Lett. 15, 697 (1991).
24. M. Nauenberg, Phys. Rev. A 40, 1133 (1989).
25. M. Nauenberg, in Coherent States: Past, Present and Future, edited by D.H. Feng, J.R. Klauder, and M.R. Strayer (World Scientific, Singapore, 1994), p. 345.
26. H. Goldstein, Classical Mechanics, 2nd ed. (Addison-Wesley, Reading, MA, 1980).
27. M. Born, Mechanics of the Atom (Bell, London, 1960).
28. I.C. Percival and D. Richards, J. Phys. B 12, 2051 (1979).
29. T.P. Hezel, C.E. Burkhardt, M. Ciocca, and J.J. Leventhal, Am. J. Phys. 60, 324 (1992).
30. V. Szebehely, Theory of Orbits (Academic Press, New York, 1967).
31. J.A. West, Ph.D. thesis, The Institute of Optics, University of Rochester, Rochester New York, 1997.
32. J.A. West, Z.D. Gaeta, and C.R. Stroud, Jr. Phys. Rev. A 58, 186 (1998).
33. G. Hulet and D. Kleppner, Phys. Rev. Lett. 51, 1430 (1983).
34. W.A. Molander, C.R. Stroud, Jr., and J.A. Yeazell, J. Phys. B 19, L461 (1986).
35. D. Delande and J.C. Gay, Europhys. Lett. 5, 303 (1988).
36. L. Chen, M. Cheret, F. Roussel, and G. Spiess, J. Phys. B 26, L437 (1993).
37. J.C. Day et al., Phys. Rev. Lett. 72, 1612 (1994).
38. P. Bellomo and C.R. Stroud, Jr., J. Chem. Phys. (to be published).
39. M.V. Berry and K.E. Mount, Rep. Prog. Phys. 35, 315 (1972).