Structure of the electromagnetic field allowing exact solution of the Schrödinger equation in superposition with an Aharonov-Bohm field

DOI10.1007/s11182-011-9694-0zbMath1329.81161OpenAlexW1991509121MaRDI QIDQ905440

V. B. Bagrov, A. D. Levin, Dmitri M. Gitman

Publication date: 20 January 2016

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-011-9694-0

zbMATH Keywords

Schrödinger equationexact solutionsAharonov-Bohm effect

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Cites Work

• Unnamed Item
• The three-dimensional Dirac oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials
• Solutions of relativistic wave equations in superpositions of Aharonov–Bohm, magnetic, and electric fields
• Significance of Electromagnetic Potentials in the Quantum Theory
• Exact equivalence of spin-1/2 Aharonov-Bohm and Aharonov-Casher effects
• Aharonov-Bohm scattering of particles with spin
• 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
• The Refractive Index in Electron Optics and the Principles of Dynamics
• Polarization of vacuum by an external magnetic field in the \((2+1)\)-dimensional quantum electrodynamics with a nonzero fermion density

This page was built for publication: Structure of the electromagnetic field allowing exact solution of the Schrödinger equation in superposition with an Aharonov-Bohm field