Levinson theorem for the Dirac equation in D + 1 dimensions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 6, 2003, Pages 627151-6271512

  Gu, Xiao Yan ^a   Ma, Zhong Qi ^b   Dong, Shi Hai ^c  

^a CCAST WORLD LABORATORY   (China)

^b INSTITUTE OF HIGH ENERGY PHYSICS   (China)

^c INSTITUTO MEXICANO DEL PETRÓLEO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

HAMILTONIANS; INTEGRATION; MATHEMATICAL OPERATORS; PHASE SHIFT; TENSORS;

SCATTERING STATES;

THEOREM PROVING;

EID: 13744262974     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (35)

1. N. Levinson, K. Dan. Vidensk. Selsk. Mat. Fys. Medd. 25(9), 1 (1949).
2. R.G. Newton, J. Math. Phys. 1, 319 (1960); 18, 1348, 1582 (1977); R.G. Newton, Scattering Theory of Waves and Particles, 2nd ed. (Springer-Verlag, New York, 1982), and references therein.
3. R.G. Newton, J. Math. Phys. 1, 319 (1960); 18, 1348, 1582 (1977); R.G. Newton, Scattering Theory of Waves and Particles, 2nd ed. (Springer-Verlag, New York, 1982), and references therein.
4. R.G. Newton, J. Math. Phys. 1, 319 (1960); 18, 1348, 1582 (1977); R.G. Newton, 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); Z.Q. Ma and G.J. Ni, Phys. Rev. D 31, 1482 (1985).
8. G.J. Ni, Phys. Energ. Fortis Phys. Nucl. 3, 432 (1979); 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. Z.R. Iwinski, L. Rosenberg, and L. Spruch, Phys. Rev. A 31, 1229 (1985).
12. N. Poliatzky, Phys. Rev. Lett. 70, 2507 (1993); R.G. Newton, Helv. Phys. Acta 67, 20 (1994); Z.Q. Ma, Phys. Rev. Lett. 76, 3654 (1996).
13. N. Poliatzky, Phys. Rev. Lett. 70, 2507 (1993); R.G. Newton, Helv. Phys. Acta 67, 20 (1994); Z.Q. Ma, Phys. Rev. Lett. 76, 3654 (1996).
14. N. Poliatzky, Phys. Rev. Lett. 70, 2507 (1993); R.G. Newton, Helv. Phys. Acta 67, 20 (1994); Z.Q. Ma, Phys. Rev. Lett. 76, 3654 (1996).
15. Z.R. Iwinski, L. Rosenberg, and L. Spruch, Phys. Rev. A 33, 946 (1986); L. Rosenberg and L. Spruch, ibid. 54, 4985 (1996).
16. Z.R. Iwinski, L. Rosenberg, and L. Spruch, Phys. Rev. A 33, 946 (1986); L. Rosenberg and L. Spruch, ibid. 54, 4985 (1996).
17. R. Blankenbecler and D. Boyanovsky, Physica D 18, 367 (1986).
18. A.J. Niemi and G.W. Semenoff, Phys. Rev. D 32, 471 (1985).
19. F. Vidai and J. Letourneux, Phys. Rev. C 45, 418 (1992).
20. K.A. Kiers and W. van Dijk, J. Math. Phys. 37, 6033 (1996).
21. M.S. de Bianchi, J. Math. Phys. 35, 2719 (1994).
22. P.A. Martin and M.S. de Bianchi, Europhys. Lett. 34, 639 (1996).
23. M.E. Portnoi and I. Galbraith, Solid State Commun. 103, 325 (1997).
24. D. Bollé, F. Gesztesy, C. Danneels, and S.F.J. Wilk, Phys. Rev. Lett. 56, 900 (1986).
25. Q.G. Lin, Phys. Rev. A 56, 1938 (1997).
26. Shi-Hai Dong, Xi-Wen Hou, and Zhong-Qi Ma, Phys. Rev. A 58, 2790 (1998).
27. Shi-Hai Dong, Xi-Wen Hou, and Zhong-Qi Ma, Phys. Rev. A 58, 2160 (1998).
28. Shi-Hai Dong and Zhong-Qi Ma, Phys. Rev. A 65, 042717 (2002).
29. Xiao-Yan Gu, Zhong-Qi Ma, and Shi-Hai Dong, Int. J. Mod. Phys. E 11, 335 (2002).
30. J.D. Bjorken and S.D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964).
31. A. Erdelyi, Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. 2, p. 232.
32. J.D. Louck, J. Mol. Spectrosc. 4, 298 (1960).
33. A. Chatterjee, Phys. Rep. 186, 249 (1990).
34. Zhong-Qi Ma, Yang-Baxter Equation and Quantum Enveloping Algebras, edited by Dai Yuan-Ben, Hao Bai-Lin, and Su Zhao-Bin, Advanced Series on Theoretical Physical Science (World Scientific, Singapore, 1993), Vol. 1, Chap. 1.
35. 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.