Aharonov-Bohm phase for an electromagnetic wave background

Abstract

The canonical Aharonov-Bohm effect is usually studied with time-independent potentials. In this work, we investigate the Aharonov-Bohm phase acquired by a charged particle moving in {\it time-dependent} potentials . In particular, we focus on the case of a charged particle moving in the time varying field of a plane electromagnetic wave. We work out the Aharonov-Bohm phase using both the potential ({\it i.e.} $\oint A_{\mu }d{x}^{\mu }$) and field ({\it i.e.} $\frac{1}{2}\int F_{\mu \nu }d{\sigma }^{\mu \nu }$) forms of the Aharanov-Bohm phase. We give conditions in terms of the parameters of the system (frequency of the electromagnetic wave, the size of the space-time loop, amplitude of the electromagnetic wave) under which the time varying Aharonov-Bohm effect could be observed.

18 pages revtex, 3 figures. To be published EPJC

References in corpus (3)

• Aharonov-Bohm effect in the tunnelling of a quantum rotor in a linear Paul trap
• The time-dependent non-Abelian Aharonov-Bohm effect
• Revisiting the Marton, Simpson, and Suddeth experimental confirmation of the Aharonov-Bohm effect

Cited by in corpus (7)

• Time-dependent Aharonov-Bohm effect on the noncommutative space
• Direct calculation of time varying Aharonov Bohm effect
• Probing the noncommutative effects of phase space in the time-dependent Aharonov-Bohm effect
• The time-dependent Aharonov-Casher effect
• Non-Abelian Aharonov-Bohm effect with the time-dependent gauge fields
• Time dependent electromagnetic fields and 4-dimensional Stokes' theorem
• Multi-valued vortex solutions to the Schrödinger equation and radiation