Work

Aharonov–Bohm phase for an electromagnetic wave background

Year: 2015

Type: article

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 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 (i.e. $$\oint A_\mu \mathrm{d}x ^\mu $$ ) and the field (i.e. $$\frac{1}{2}\int F_{\mu \nu } \mathrm{d}\sigma ^{\mu \nu }$$ ) forms of the Aharonov–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.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-015-3670-8

Authors: Max Bright, Douglas Singleton, Atsushi Yoshida

Institutions: California State University, Fresno, ICTP South American Institute for Fundamental Research, Universidade Estadual Paulista (Unesp), Hue University, Hue University of Education, University of Virginia

Language: English

Topic: Quantum and Classical Electrodynamics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Abdus Salam International Centre for Theoretical Physics, ICTP South American Institute for Fundamental Research

OpenAlex ID: W2176984763