Quantum monodromy in the spectrum of Schrödinger equation with a decatic potential

International Journal of Theoretical Physics

Volumn 41, Issue 1, 2002, Pages 89-99

  Dong, Shi Hai ^a,b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141451680     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013273600656     Document Type: Article

References (53)

1. Abramowitz, M. and Stegun, I. A. (1994). Handbook of Mathematical Functions, 5th edn., Dover, New York.
2. Bates, L. R. (1991). Journal of Applied Mathematics and Physics (ZAMP), 42, 837.
3. Bender, C. M. and Wu, T. T. (1973). Physical Review 7, 1620.
4. Bose, S. K. (1994). IL Nuovo Cimento B 109, 1217.
5. Bose, S. K. and Varma, N. (1990). Physics Letters A 147, 85.
6. Calogero, F. (1967). Variable Phase Approach to Potential Scattering, Academic Press, New York.
7. Child, M. S. (1998). Journal of Physics A: Mathematical and General 31, 657.
8. Child, M. S., Dong, S. H., and Wang, X. G. (2000). Journal of Physics A: Mathematical and General 33, 5653.
9. Child, M. S., Weston, T., and Tennyson, J. (1999). Molecular Physics 96(3), 371.
10. Coleman, S. (1988). Aspects of Symmetry, Selected Erice Lectures, Cambridge University Press, Cambridge, pp. 234.
11. Cushman, R. H. (1983). Centrumvoor Wiskunde Information Newsletters 1, 4.
12. Cushman, R. H. and Sadovskii, D. A. (1999). European Physical Letters 47, 1.
13. Dong, S. H. (2000). International Journal of Theoretical Physics 39(4), 1119.
14. Dong, S. H. (2001a). IL Nuovo Cimento 115 B (in press).
15. Dong, S. H. (2001b). IL Nuovo Cimento 115 B (in press).
16. Dong, S. H. and Ma, Z. Q. (1998). Journal of Physics A: Mathematical and General 31, 9855.
17. Dong, S. H., Ma, Z. Q., and Esposito, G. (1999). Foundations of Physics Letters 12, 465.
18. Dutta, A. K. and Willey, R. S. (1988). Journal of Mathematical Physics 29, 892.
19. Emin, D. (1982). Physics Today 35(6), 34.
20. Emin, D. and Holstein, T. (1976). Physical Review Letters 36, 323.
21. Esposito, G. (1998a). Journal of Physics A: Mathematical and General 31, 9493.
22. Esposito, G. (1998b). Foundations of Physics Letters 11, 535.
23. Esposito, G. (2000). Foundations of Physics Letters 13, 29.
24. Hashimoto, H. (1979). International Journal of Electron 46, 125.
25. Hashimoto, H. (1980). Optics Communications 32, 383.
26. Hazewinkei, M. (1994). Encyclopedia of Mathematics, Kluwer Academic, Reidel.
27. Hoie, F. T., MacMillan, D., and Montroll, E. W. (1978). Physics Reports 43, 306.
28. Jaenicke, J. and Kleinert, H. (1993). Physics Letters A 176, 409.
29. Karrlein, R. and Kleinert, H. (1988). Physics Letters A 187, 133.
30. Kaushal, R. S. (1989). Physics Letters A 142, 57.
31. Kaushal, R. S. (1991). Annals of Physics (New York) 206, 90.
32. Kaushal, R. S. and Parashar, D. (1992). Physics Letters A 170, 335.
33. Klauder, J. R. (1965). Journal of Mathematical Physics 6, 1666.
34. Langer, J. S. (1967). Annals of Physics 41, 108.
35. Marsden, J. E. and Hoffman, M. J. (1987). Basic Complex Analysis, Freeman, New York.
36. Newton, R. G. (1967). Scattering Theory of Waves and Particles, McGraw Hill, New York.
37. Ngoc, S. V. (1999). Communications in Mathematical Physics 203, 465.
38. Özcelik, S. and Simselk, M. (1991). Physics Letters A 152, 145.
39. Pan, F., Klauder J. R., and Draayer, J. P. (1999). Physics Letters A 262, 131.
40. Reid, C. E. (1970). Journal of Molecular Spectroscopy 36, 183.
41. Sadovskii, D. A. and Zhilinski, B. I. (1999). Physics Letters A 256, 235.
42. Share, A. and Behra, S. N. (1980). Pramana - Journal of Physics 4, 327.
43. Simon, B. (1970). Annals of Physics 58, 76.
44. Simsek, M. and Özcelik, S. (1994). Physics Letters A 186, 35.
45. Singh, C. S., Singh, S. B., and Singh, K. D. (1990). Physics Letters A 148, 389.
46. Solari, A. G., Natiello, M. A., and Minplin, G. B. (1996). Non-linear Dynamics, Institute of Physics, Bristol.
47. Tater, M. (1987). Journal of Physics A: Mathematical and Genernal 20, 2483.
48. Turbiner, A. V. (1988a). Communications in Mathematical Physics 118, 467.
49. Turbiner, A. V (1988b). Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki [Soviet Physics - JETP] 94, 33.
50. Znojil, M. (1982a). Journal of Physics A: Mathematical and General 15, 2111.
51. Znojil, M. (1982b). Physical Review D: Particles and Fields 26, 2483.
52. Znojil, M. (1989). Journal of Mathematical Physics 30, 23.
53. Znojil, M. (1990). Journal of Mathematical Physics 31, 108.