Generalized Levinson theorem for singular potentials in two dimensions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 1, 2003, Pages

  Sheka, Denis ^a   Ivanov, Boris ^b   Mertens, Franz G ^c  

^a TARAS SHEVCHENKO NATIONAL UNIVERSITY OF KYIV   (Ukraine)

^b INSTITUTE OF MAGNETISM   (Ukraine)

^c UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CHARGED PARTICLES; ELECTRON ENERGY LEVELS; FERROMAGNETIC MATERIALS; MATHEMATICAL MODELS; QUANTUM THEORY; TEXTURES;

BOUND STATES; GENERALIZED LEVINSON THEOREM; SINGULAR POTENTIALS; TWO-DIMENSIONAL SCATTERING;

ELECTRON SCATTERING;

EID: 0141573182     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (39)

1. J.R. Taylor, Scattering Theory: the Quantum Theory on Non-relativistic Collisions (Wiley, New York, 1972).
2. R.G. Newton, Scattering Theory of Waves and Particles (Springer-Verlag, New York, 1982).
3. P. Swan, Nucl. Phys. 46, 669 (1963).
4. J.M. Sparenberg and D. Baye, Phys. Rev. C 55, 55 (1997)
5. ibid. 61, 024605 (2000)
6. J.M. Sparenberg, Phys. Rev. Lett. 85, 2661 (2000).
7. B.F. Samsonov and F. Stancu, Phys. Rev. C 66, 034001 (2002).
8. R.G. Newton, J. Math. Phys. 1, 319 (1960)
9. K.A. Kiers and W. van Dijk, ibid. 37, 6033 (1996)
10. Z.Q. Ma and G.J. Ni, Phys. Rev. D 31, 1482 (1995)
11. F. Vidal and J. Letourneux, Phys. Rev. C 45, 418 (1992)
12. N. Polyatzky, Phys. Rev. Lett. 70, 2507 (1993)
13. L. Rosenberg and L. Spruch, Phys. Rev. A 54, 4978 (1996).
14. L. Rosenberg, Phys. Rev. C 58, 1385 (1998)
15. Phys. Rev. A 59, 1253 (1999)
16. T.A. Weber, J. Math. Phys. 40, 140 (1999).
17. Q.G. Lin, Phys. Rev. A 56, 1938 (1997).
18. S.H. Dong, X.W. Hou, and Z.Q. Ma, Phys. Rev. A 58, 2790 (1998).
19. S.H. Dong, X.W. Hou, and Z.Q. Ma, Phys. Rev. A 59, 995 (1999)
20. S.H. Dong and Z.Q. Ma, Int. J. Theor. Phys. 39, 469 (2000)
21. S.H. Dong, ibid. 39, 1529 (2000)
22. Eur. Phys. J.: Appl. Phys. 11, 159 (2000).
23. E. Farhi, N. Graham, R.L. Jaffe, and H. Weigel, Nucl. Phys. B 595, 536 (2001)
24. S.S. Gousheh, Phys. Rev. A 65, 032719 (2002).
25. Q.G. Lin, Phys. Rev. A 57, 3478 (1998)
26. Eur. Phys. J. D 7, 515 (1999).
27. D. Bollé, F. Gesztesy, C. Danneels, and S. Wilk, Phys. Rev. Lett. 56, 900 (1986).
28. M.E. Portnoi and I. Galbraith, Solid State Commun. 103, 325 (1997)
29. Phys. Rev. B 58, 3963 (1998).
30. H. Walliser and G. Holzwarth, Phys. Rev. B 61, 2819 (2000).
31. The Quantum Hall Effect, edited by R. E. Prange and S. M. Girvin (Springer, New York, 1990).
32. B.A. Ivanov, H.J. Schnitzer, F.G. Mertens, and G.M. Wysin, Phys. Rev. B 58, 8464 (1998).
33. B.A. Ivanov, V.M. Muravyov, and D.D. Sheka, Zh. Eksp. Teor. Fiz. 116, 1091 (1999) [JETP 89, 583 (1999)].
34. D.D. Sheka, B.A. Ivanov, and F.G. Mertens, Phys. Rev. B 64, 024432 (2001).
35. B.A. Ivanov and G.M. Wysin, Phys. Rev. B 65, 134434 (2002).
36. P.M. Morse and H. Feshbach, Methods of Theoretical Physics, Part II (McGraw-Hill Science, New York, 1953).
37. I.R. Lapidus, Am. J. Phys. 50, 45 (1982).
38. H. Leeb, S.A. Sofianos, J.M. Sparenberg, and D. Baye, Phys. Rev. C 62, 064003 (2000).
39. G. Barton, J. Phys. A 18, 479 (1985).