Fermion bound states in the Aharonov-Bohm field in \(2+1\) dimensions

DOI10.1007/S11232-010-0039-XzbMath1196.81122OpenAlexW1970640520MaRDI QIDQ1956861

V. R. Khalilov

Publication date: 24 September 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-010-0039-x

zbMATH Keywords

spinself-adjoint Hamiltoniansymmetric operatorbound stateAharonov-Bohm potentiallevel intersection

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (4)

Relativistic quantum dynamics of a neutral particle in external electric fields: An approach on effects of spin ⋮ Integrable vector isotropic equations admitting differential substitutions of first order ⋮ Zero-mass fermions in Coulomb and Aharonov-Bohm potentials in 2+1 dimensions ⋮ PLANAR MASSLESS FERMIONS IN COULOMB AND AHARONOV–BOHM POTENTIALS

Cites Work

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• Scattering of a neutral fermion with anomalous magnetic moment by a charged straight thin thread
• Classical and quantum scattering on a spinning cone
• Significance of Electromagnetic Potentials in the Quantum Theory
• Aharonov-Bohm scattering of particles with spin
• AHARONOV–BOHM EFFECT WITH SPIN-POLARIZED ELECTRONS

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