Levinson's theorem for the Schrödinger equation in one dimension

International Journal of Theoretical Physics

Volumn 39, Issue 2, 2000, Pages 469-481

  Dong, Shi Hai ^a   Ma, Zhong Qi ^a,b  

^a INSTITUTE OF HIGH ENERGY PHYSICS   (China)

^b CCAST WORLD LABORATORY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034134760     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1003604830131     Document Type: Article

References (49)

1. Aktosun, T., Klaus, M., and van der Mee, C. (1993). J. Math. Phys. 34, 2651.
2. Aktosun T., Klaus, M., and van der Mee, C. (1996). J. Math. Phys. 37, 5897.
3. Aktosun, T., Klaus, M., and van der Mee, C. (1998a). J. Math. Phys. 39, 4249.
4. Aktosun, T., Klaus, M., and van der Mee, C. (1998b). J. Math. Phys. 39, 1957.
5. Baton, G. (1985). J. Phys. A 18, 479.
6. Blankenbecler, R., and Boyanovsky, D. (1986). Physica 18D, 367.
7. Bollé, D., Gesztesy, F., Danneels, C., and Wilk, S. F. J. (1986). Phys. Rev. Lett. 56, 900.
8. de Bianchi, M. S. (1994). J. Math. Phys. 35, 2719.
9. Dong, S. H., Hou X. W., and Ma, Z. Q. (1998a). Phys. Rev. A 58, 2160.
10. Dong, S. H., Hou X. W., and Ma, Z. Q. (1998b). Phys. Rev. A 58, 2790.
11. Dong, S. H., Hou X. W., and Ma, Z. Q. (1998c). J. Phys. A 31, 7501.
12. Dong, S. H., Hou X. W., and Ma, Z. Q. (1999). Phys. Rev. A 59, 995.
13. Eberly, J. H. (1965). Am. J. Phys. 33, 771.
14. Gibson, W. G. (1987). Phys. Rev. A 36, 564.
15. Hauge, E. H., and Støvneng, J. A. (1989). Rev. Mod. Phys. 61, 917.
16. Iwinski, Z. R., Rosenberg, L., and Spruch, L. (1985). Phys. Rev. 31, 1229.
17. Iwinski, Z. R., Rosenberg, L., and Spruch, L. (1986). Phys. Rev. A 33, 946.
18. Jackiw, R., and Woo, G. (1975). Phys. Rev. D 12, 1643.
19. Jauch, J. M. (1957). Helv. Phys. Acta 30, 143.
20. Kiers, K. A., and van Dijk, W. (1996). J. Math. Phys. 37, 6033.
21. Levinson, N. (1949). Danske Vidensk. Selsk. K. Mat.-Fys. Medd. 25, No. 9.
22. Liang, Y. G., and Ma, Z. Q. (1986). Phys. Rev. D 34, 565.
23. Lin, Q. C. (1997). Phys. Rev. A 56, 1938.
24. Lin, Q. C. (1998). Phys. Rev. A 57, 3478.
25. Ma, Z. Q. (1985a). J. Math. Phys. 26, 1995.
26. Ma, Z. Q. (1985b). Phys. Rev. D 32, 2203.
27. Ma, Z. Q. (1985c). Phys. Rev. D 32, 2213.
28. Ma, Z. Q. (1996). Phys. Rev. Lett. 76, 3654.
29. Ma, Z. Q., and Ni, G. J. (1985). Phys. Rev. D 31, 1482.
30. Martin, A. (1958). Nuovo Cimento 7, 607.
31. Martin, P. A., and de Blanchi, M. S. (1996). Eur. Phys. Lett. 34, 639.
32. Newton, R. G. (1960). J. Math. Phys. 1, 319.
33. Newton, R. G. (1977a). J. Math. Phys. 18, 1348.
34. Newton, R. G. (1977b). J. Math. Phys. 18, 1582.
35. Newton, R. G. (1980). J. Math. Phys. 21, 493.
36. Newton, R. G. (1982). Scattering theory of waves and particles, 2nd ed., Springer-Verlag, New York, and references therein.
37. Newton, R. G. (1983). J. Math. Phys. 24, 2152.
38. Newton, R. G. (1984). J. Math. Phys. 25, 2991.
39. Newton, R. G. (1994). Helv. Phys. Acta 67, 20.
40. Ni, G. J. (1979). Phys. Energ. Fort. Phys. Nucl. 3, 432.
41. Niemi, A. J., and Semenoff, G. W. (1985). Phys. Rev. D 32, 471.
42. Nogami, Y., and Ross, C. K. (1996). Am. J. Phys. 64, 923.
43. Poliatzky, N. (1993). Phys. Rev. Lett. 70, 2507.
44. Portnoi, M. E., and Galbraith, I. (1997). Solid State Commun. 103, 325.
45. Portnoi, M. E., and Galbraith, I. (1998). Phys. Rev. B 58, 3963.
46. Rosenberg, L., and Spruch, L. (1996). Phys. Rev. A 54, 4985.
47. van Dijk, W., and Kiers, K. A. (1992). Am. J. Phys. 60, 520.
48. Vidal, F., and LeTourneux, J. (1992). Phys. Rev. C 45, 418.
49. Yang, C. N. (1982). In Monopoles in Quantum Field Theory, N. S. Craigie, P. Goddard, and W. Nahm, eds., World Scientific, Singapore, p. 237.