Levinson’s theorem for the Klein-Gordon equation in two dimensions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 59, Issue 2, 1999, Pages 995-1002

  Dong, Shi Hai ^a   Hou, Xi Wen ^a,b   Ma, Zhong Qi ^a,c  

^a INSTITUTE OF HIGH ENERGY PHYSICS   (China)

^b CHINA THREE GORGES UNIVERSITY   (China)

^c CCAST WORLD LABORATORY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001982290     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.995     Document Type: Article

References (37)

1. N. Levinson, K. Dan. Vidensk. Selsk. Mat. Fys. Medd. 25, (9) (1949).
2. R. G. Newton, J. Math. Phys. 1, 319 (1960)
3. J. Math. Phys.R. G. Newton18, 1348 (1977)
4. J. Math. Phys.R. G. Newton18, 1582 (1977);Scattering Theory of Waves and Particles, 2nd ed. (Springer-Verlag, New York, 1982), and references therein.
5. J. M. Jauch, Helv. Phys. Acta 30, 143 (1957).
6. A. Martin, Nuovo Cimento 7, 607 (1958).
7. G. J. Ni, Phys. Energ. Fortis Phys. Nucl. 3, 432 (1979)
8. Z. Q. Ma and G. J. Ni, Phys. Rev. D 31, 1482 (1985).
9. Z. Q. Ma, J. Math. Phys. 26, 1995 (1985).
10. Z. Q. Ma, Phys. Rev. D 32, 2203 (1985)
11. Phys. Rev. DZ. Q. Ma32, 2213 (1985).
12. Z. R. Iwinski, L. Rosenberg, and L. Spruch, Phys. Rev. 31, 1229 (1985).
13. Y. G. Liang and Z. Q. Ma, Phys. Rev. D 34, 565 (1986).
14. N. Poliatzky, Phys. Rev. Lett. 70, 2507 (1993)
15. R. G. Newton, Helv. Phys. Acta 67, 20 (1994)
16. Z. Q. Ma, Phys. Rev. Lett. 76, 3654 (1996).
17. Z. R. Iwinski, L. Rosenberg, and L. Spruch, Phys. Rev. A 33, 946 (1986)
18. Phys. Rev. AL. Rosenberg and L. Spruch, 54, 4985 (1996).
19. R. Blankenbecler and D. Boyanovsky, Physica D 18, 367 (1986).
20. A. J. Niemi and G. W. Semenoff, Phys. Rev. D 32, 471 (1985).
21. F. Vidal and J. LeTourneux, Phys. Rev. C 45, 418 (1992).
22. K. A. Kiers and W. van Dijk, J. Math. Phys. 37, 6033 (1996).
23. M. S. Debianchi, J. Math. Phys. 35, 2719 (1994).
24. P. A. Martin and M. S. Debianchi, Europhys. Lett. 34, 639 (1996).
25. M. E. Portnoi and I. Galbraith, Solid State Commun. 103, 325 (1997).
26. M. E. Portnoi and I. Galbraith, Phys. Rev. B 58, 3963 (1998).
27. D. Bollé, F. Gesztesy, C. Danneels, and S. F. J. Wilk, Phys. Rev. Lett. 56, 900 (1986).
28. W. G. Gibson, Phys. Rev. A 36, 564 (1987).
29. Qiong-gui Lin, Phys. Rev. A 56, 1938 (1997)
30. Phys. Rev. AQiong-gui Lin57, 3478 (1998).
31. Shi-Hai Dong, Xi-Wen Hou, and Zhong-Qi Ma, Phys. Rev. A 58, 2160 (1998)
32. Phys. Rev. AShi-Hai DongXi-Wen HouZhong-Qi Ma58, 2790 (1998).
33. Shi-Hai Dong, Xi-Wen Hou, and Zhong-Qi Ma, J. Phys. A 31, 7501 (1998).
34. W. Pauli (unpublished).
35. H. Snyder and J. Weinberg, Phys. Rev. 15, 307 (1940)
36. Phys. Rev.L. I. Schiff, H. Snyder, and J. Weinberg, 15, 315 (1940).
37. C. N. Yang, in Monopoles in Quantum Field Theory, Proceedings of the Monopole Meeting, Trieste, Italy, 1981, edited by N. S. Craigie, P. Goddard, and W. Nahm (World Scientific, Singapore, 1982), p. 237.