Quantum motion in superposition of Aharonov–Bohm with some additional electromagnetic fields

DOI10.1063/1.4714352zbMath1275.81025arXiv1103.5515OpenAlexW3099039852MaRDI QIDQ2862904

A. D. Levin, Dmitri M. Gitman, Vladislav G. Bagrov

Publication date: 20 November 2013

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

Full work available at URL: https://arxiv.org/abs/1103.5515

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Motion of charged particles (78A35)

Cites Work

• Generation of new exactly solvable potentials of a nonstationary Schrödinger equation
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• Elastic scattering and bound states in the Aharonov-Bohm potential superimposed by an attractive ρ^-2potential
• Hamiltonian self-adjoint extensions for (2+1)-dimensional Dirac particles
• Solutions of relativistic wave equations in superpositions of Aharonov–Bohm, magnetic, and electric fields
• Ground state of a spin-1/2 charged particle in a two-dimensional magnetic field
• Schrödinger and Dirac operators with the Aharonov–Bohm and magnetic-solenoid fields
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• Significance of Electromagnetic Potentials in the Quantum Theory
• Aharonov-Bohm effect on the Poincaré disk
• Relativistic analogy of the Aharonov-Bohm effect in the presence of Coulomb field and magnetic charge
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• New solutions of relativistic wave equations in magnetic fields and longitudinal fields
• Exact solution of the Dirac equation for a Coulomb and scalar potential in the presence of an Aharonov–Bohm and a magnetic monopole fields
• Self-adjoint extensions of the Hamiltonian for a charged spin- 1/2 particle in the Aharonov-Bohm field
• Coherent states of non-relativistic electron in the magnetic–solenoid field
• The Refractive Index in Electron Optics and the Principles of Dynamics
• Aharonov-Bohm effect in cyclotron and synchrotron radiations

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