| Issue |
Europhys. Lett.
Volume 37, Number 3, January III 1997
|
|
|---|---|---|
| Page(s) | 165 - 170 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1997-00127-x | |
| Published online | 01 September 2002 | |
Whirling waves and the Aharonov-Bohm effect for relativistic spinning particles
1
Instituto de Física, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, 91501-970 Porto
Alegre, RS, Brazil
2
Instituto de Física, Universidade de São Paulo, Caixa Postal 20516, 01452-990 São Paulo, SP, Brazil
Received:
5
July
1996
Accepted:
12
December
1996
The formulation of Berry for the Aharonov-Bohm effect is generalized to the relativistic regime. Then, the problem of finding the self-adjoint extensions of the (2+1)-dimensional Dirac Hamiltonian, in an Aharonov-Bohm background potential, is solved in a novel way. The same treatment also solves the problem of finding the self-adjoint extensions of the Dirac Hamiltonian in an Aharonov-Casher background.
PACS: 03.65.Bz – Foundations, theory of measurement, miscellaneous theories (including Aharonov-Bohm effect, Bell inequalities, Berry's phase) / 03.65.Pm – Relativistic wave equations
© EDP Sciences, 1997
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