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

DOI10.1007/BF00805849zbMath0788.35111OpenAlexW1968867640MaRDI QIDQ1318310

Osamu Ogurisu

Publication date: 6 June 1994

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00805849

zbMATH Keywords

ground statespectraDirac HamiltonianDirac-Weyl operators

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (1)

Essential spectrum of the Dirac Hamiltonian for a spin 1/2 neutral particle with an anomalous magnetic moment in an asymptotically constant magnetic field

Cites Work

• Spectral properties of Schrödinger operators with magnetic fields for a spin \({1 \over{} 2}\) particle
• Applications of a commutation formula
• Ground state of a spin 1/2 charged particle in an even-dimensional magnetic field
• Essential self-adjointness of powers of generators of hyperbolic equations
• Exact equivalence of spin-1/2 Aharonov-Bohm and Aharonov-Casher effects

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