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,

Ogurisu, O.

Hokkaido University Preprint Series in Mathematics, 1993, 187, 2-4

Permalink : https://doi.org/10.14943/83331

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DOI	https://doi.org/10.14943/83331
URI	https://hdl.handle.net/2115/68933
タイトル	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,
著者	著者名 Ogurisu, O.
言語	英語
発行日	1993-03
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	187
ページ	2-4
抄録	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 .
資源タイプ	紀要論文
出版タイプ	Version of Record