Uniform semiclassical approximations on a topologically non-trivial configuration space: The hydrogen atom in an electric field

European Physical Journal D

Volumn 25, Issue 2, 2003, Pages 129-138

  Bartsch, T ^a   Main, J ^a   Wunner, G ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; BIFURCATION (MATHEMATICS); GEOMETRY; HYDROGEN; IMAGE ENHANCEMENT; PHASE SPACE METHODS; TOPOLOGY; WAVE FUNCTIONS;

BIFURCATION SCENARIO; CLOSED ORBIT THEORY; CONFIGURATION SPACE; HYDROGEN ATOMS; NON-TRIVIAL; NORMAL FORM; PERIODIC-ORBIT THEORY; SEMI-CLASSICAL APPROXIMATION; SEMICLASSICAL APPROXIMATIONS; UNIFORM APPROXIMATION;

ELECTRIC FIELDS;

EID: 0042475717     PISSN: 14346060     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjd/e2003-00238-x     Document Type: Article

References (29)

1. M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990)
2. M. Brack, R.K. Bhaduri, Semidassical Physics (Addison-Wesley Publishing Company, Reading, Mass., 1997)
3. M.L. Du, J.B. Delos, Phys. Rev. A 38, 1896 and 1913 (1988)
4. E.B. Bogomolny, Sov. Phys. JETP 69, 275 (1989)
5. A.M. Ozorio de Almeida, J.H. Hannay, J. Phys. A 20, 5873 (1987)
6. M. Sieber, J. Phys. A 29, 4715 (1996)
7. H. Schomerus, M. Sieber, J. Phys. A 30, 4537 (1997)
8. M. Sieber, H. Schomerus, J. Phys. A 31, 165 (1998)
9. T. Bartsch, The hydrogen atom in an electric field and in crossed electric and magnetic fields: Closed-orbit theory and semiclassical quantization (Cuvillier, Göttingen, Germany, 2002)
10. T. Bartsch, J. Main, G. Wunner, Phys. Rev. A 67, 063411 (2003)
11. J. Main, G. Wunner, Phys. Rev. A 55, 1743 (1997)
12. H. Schomerus, Europhys. Lett. 38, 423 (1997)
13. J. Main, G. Wunner, Phys. Rev. E 57, 7325 (1998)
14. H. Schomerus, J. Phys. A 31, 4167 (1998)
15. V. Kondratovich, J.B. Delos, Phys. Rev. A 56, R5 (1997)
16. V. Kondratovich, J.B. Delos, Phys. Rev. A 57, 4654 (1998)
17. J. Gao, J.B. Delos, Phys. Rev. A 56, 356 (1997)
18. J.A. Shaw, F. Robicheaux, Phys. Rev. A 58, 1910 (1998)
19. J.A. Shaw, F. Robicheaux, Phys. Rev. A 58, 3561 (1998)
20. T. Bartsch, J. Main, G. Wunner, Phys. Rev. A 66, 033404 (2002)
21. T. Bartsch, J. Main, G. Wunner, J. Phys. B 36, 1231 (2003)
22. J. Gao, J.B. Delos, Phys. Rev. A 49, 869 (1994)
23. M. Born, Vorlesungen über Atommechanik (Springer, Berlin, 1925)
24. L.D. Landau, E.M. Lifshitz, Mechanics (Pergamon Press, Oxford, 1960)
25. M. Abramowitz, I.A. Stegun, Pocketbook of Mathematical Functions (Verlag Harri Deutsch, Frankfurt/Main, 1984)
26. D. Wintgen, J. Phys. B 20, L511 (1987)
27. M. Brack, Found. Phys. 31, 209 (2001)
28. D.P.L. Castrigiano, S.A. Hayes, Catastrophe Theory (Addison-Wesley Publishing Company, Reading, MA, 1993)
29. T. Poston, I. Stewart, Catastrophe Theory and its Applications (Pitman, Boston, 1978)