Magnetic force exerted by the Aharonov-Bohm line

Europhysics Letters

Volumn 43, Issue 6, 1998, Pages 623-628

  Shelankov, A L ^a,b  

^a UMEÅ UNIVERSITY   (Sweden)

^b IOFFE INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032530080     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i1998-00408-4     Document Type: Article

References (31)

1. AHARONOV Y. and BOHM D., Phys. Rev., 115 (1959) 485.
2. OLARIU S. and POPESCU I. I., Rev. Mod. Phys., 57 (1985) 339.
3. PESHKIN M. and TANOMURA A., Aharonov-Bohm Effect, Lect. Notes Phys., 340 (Springer-Verlag) 1989.
4. PITAEVSKII L. P., Zh. Eksp. Teor. Fiz., 35 (1958) 1271 (Sov. Phys. JETP, 8 (1959) 888).
5. PITAEVSKII L. P., Zh. Eksp. Teor. Fiz., 35 (1958) 1271 (Sov. Phys. JETP, 8 (1959) 888).
6. IORDANSKII S. V., Zh. Eksp. Teor. Fiz., 49 (1965) 225 (Sov. Phys. JETP, 22 (1966) 160).
7. IORDANSKII S. V., Zh. Eksp. Teor. Fiz., 49 (1965) 225 (Sov. Phys. JETP, 22 (1966) 160).
8. SONIN E. B., Zh. Eksp. Teor. Fiz., 69 (1975) 921 (Sov. Phys. JETP, 42 (1976) 469).
9. SONIN E. B., Zh. Eksp. Teor. Fiz., 69 (1975) 921 (Sov. Phys. JETP, 42 (1976) 469).
10. SONIN E. B., Phys. Rev. B, 55 (1997) 485.
11. DAVIDOWITZ H. and STEINBERG V., Europhys. Lett., 38 (1997) 297.
12. WEXLER C. and THOULESS D. J., cond-mat/9804118.
13. AO P. and THOULESS D. J., Phys. Rev. Lett., 70 (1993) 2158; THOULESS D. J. et al., Phys. Rev. Lett., 76 (1996) 3758; WEXLER C., Phys. Rev. Lett., 79 (1997) 1321.
14. AO P. and THOULESS D. J., Phys. Rev. Lett., 70 (1993) 2158; THOULESS D. J. et al., Phys. Rev. Lett., 76 (1996) 3758; WEXLER C., Phys. Rev. Lett., 79 (1997) 1321.
15. AO P. and THOULESS D. J., Phys. Rev. Lett., 70 (1993) 2158; THOULESS D. J. et al., Phys. Rev. Lett., 76 (1996) 3758; WEXLER C., Phys. Rev. Lett., 79 (1997) 1321.
16. THOULESS D. J. et al., The 9th International Conference on Recent Progress in Many-Body Theories, 21-25 July 1997, Sydney, Australia (cond-mat/9709127).
17. HENNEBERGER W. C., Phys. Rev. A, 22 (1980) 1383.
18. CLEARY R. M., Phys. Rev., 175 (1968) 587.
19. NIELSEN M. and HEDEGÅRD P., Phys. Rev. B, 51 (1995) 7679.
20. STELITANO D., Phys. Rev. D, 51 (1995) 5876; ALVAREZ M., Phys. Rev. A, 54 (1996) 1128.
21. STELITANO D., Phys. Rev. D, 51 (1995) 5876; ALVAREZ M., Phys. Rev. A, 54 (1996) 1128.
22. LEONTOVICH M. A. and FOCK V. A., Zh. Eksp. Teor. Fiz., 16 (1946) 557; LAX M. et al., Phys. Rev. A, 11 (1975) 1365.
23. LEONTOVICH M. A. and FOCK V. A., Zh. Eksp. Teor. Fiz., 16 (1946) 557; LAX M. et al., Phys. Rev. A, 11 (1975) 1365.
24. ψ(s) defines a curve on the complex ψ-plane. The curve is the well-known Cornu spiral [18], the two centers of which are at ψ = exp[±iπΦ̃]; For y varying from -∞ to ∞, ψ(x,y) changes along the spiral from ψ = exp[-iπΦ̃] to ψ = exp[iπΦ̃].
25. BORN M. and WOLF E., Principles of Optics (Pergamon Press) 1959, p. 431.
26. BERRY M. V. et al., Eur. J. Phys., 1 (1980) 154.
27. Some caution is needed because of the discontinuity of ψ(+0, y) in eq. (4) at y = 0. The correct limiting procedure, where details of the behaviour at y = 0 are unimportant, is the following; ∂ψ/∂y is substituted by (ψ(+0, y + a) - ψ(+0, y -a))/2a and the limit a → 0 is taken after the y-integration.
28. SHELANKOV A., preprint cond-mat/9802158 (1998).
29. LANDAU L. D. and LIFSHITZ E. M., Quantum Mechanics (Pergamon Press, New York) 1977.
30. RUIJSENAARS S. N. M., Ann. Phys. (N. Y.), 146 (1983) 1.
31. MOROZ A., Phys. Rev. A, 53 (1996) 669.