Stokes' theorem, gauge symmetry and the time-dependent Aharonov-Bohm effect

DOI10.1063/1.4869324zbMath1292.81045arXiv1312.1405OpenAlexW2001993932MaRDI QIDQ5171313

J. A. MacDougall, Douglas Singleton

Publication date: 26 July 2014

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

Full work available at URL: https://arxiv.org/abs/1312.1405

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

The time-dependent Aharonov-Casher effect, On the time-dependent Aharonov-Bohm effect, Probing the noncommutative effects of phase space in the time-dependent Aharonov-Bohm effect, Direct calculation of time varying Aharonov-Bohm effect, Time-dependent Aharonov-Bohm effect on the noncommutative space, Non-abelian Aharonov-Bohm effect with the time-dependent gauge fields, Geometric phases for classical and quantum dynamics: Hannay angle and Berry phase for loops on a torus, Multi-valued vortex solutions to the Schrödinger equation and radiation, Topological proximity effect: a gauge influence from distant fields on planar quantum-coherent systems

Cites Work

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