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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,
| Title: | 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, |
| Authors: | Ogurisu, O. Browse this author |
| Issue Date: | Mar-1993 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 187 |
| Start Page: | 2 |
| End Page: | 4 |
| Abstract: | We prove the unitary equivalence between the Dirac Hamiltonian Hv for a relativistic spin 1/2 neutral particle with an anomalous magnetic moment in a two-dimensional electrostatic field E = (E1 , E2 ) and the direct sum of the Dirac-Weyl operators D(±A) for a spin 1/2 charged particle in two-dimensional magnetic fields ±dA with the vector potential A = E2 dx1 - E1 dx2 , ( x1 , x2 ) E IR2• As applications, we investigate the ground state and the spectra of Hv . |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68933 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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