Unitary equivalence between a spin 1/2 charged particle in a two-dimensional magnetic field and a spin 1/2 neutral particle with an anomalous magnetic moment in a two-dimensional electric field |
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Authors: | Osamu Ogurisu |
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Institution: | (1) Department of Mathematics, Hokkaido University, 060 Sapporo, Japan |
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Abstract: | We prove the unitary equivalence between the Dirac HamiltonianH
D for a relativistic spin 1/2 neutral particle with an anomalous magnetic moment in a two-dimensional electrostatic fieldE = (E
1,E
2) and the direct sum of the Dirac-Weyl operatorsD(±A) for a spin 1/2 charged particle in two-dimensional magnetic fields ±dA with the vector potentialA =E
2 dx
1 -E
1 dx
2, (x
1,x
2) 2. As applications, we investigate the ground state and the spectra ofH
D. |
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Keywords: | 81Q10 |
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