Schrodinger and Dirac operators with the Aharonov-Bohm and magnetic-solenoid fields
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
19/09/2013
19/09/2013
01/04/2012
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| Resumo |
We construct all self-adjoint Schrodinger and Dirac operators (Hamiltonians) with both the pure Aharonov-Bohm (AB) field and the so-called magnetic-solenoid field (a collinear superposition of the AB field and a constant magnetic field). We perform a spectral analysis for these operators, which includes finding spectra and spectral decompositions, or inversion formulae. In constructing the Hamiltonians and performing their spectral analysis, we follow, respectively, the von Neumann theory of self-adjoint extensions of symmetric operators and the Krein method of guiding functionals. Brazilian foundation FAPESP Brazilian foundation FAPESP Brazilian Foundation CNPq Brazilian foundation CNPq FAPESP FAPESP RFBR RFBR [08-01-00737] [LSS-1615.2008.2] |
| Identificador |
PHYSICA SCRIPTA, BRISTOL, v. 85, n. 4, pp. 351, APR, 2012 0031-8949 http://www.producao.usp.br/handle/BDPI/33514 10.1088/0031-8949/85/04/045003 |
| Idioma(s) |
eng |
| Publicador |
IOP PUBLISHING LTD BRISTOL |
| Relação |
PHYSICA SCRIPTA |
| Direitos |
openAccess Copyright IOP PUBLISHING LTD |
| Palavras-Chave | #BOUNDARY-CONDITIONS #PARTICLE RADIATION #SCATTERING #CONSERVATION #POTENTIALS #DEPENDENCE #HELICITY #FERMIONS #PHYSICS, MULTIDISCIPLINARY |
| Tipo |
article original article publishedVersion |
