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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,

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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
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

Submitter: 数学紀要登録作業用

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