A charged particle in a homogeneous magnetic field accelerated by a time-periodic Aharonov-Bohm flux

Journal Article · Sat Oct 15 00:00:00 EDT 2011 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2011.06.007· OSTI ID:21583288

Kalvoda, T ^[1]; Stovicek, P ^[2]

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1. Department of Theoretical Computer Science, Faculty of Information Technology, Czech Technical University in Prague, Kolejni 2, 160 00 Praha (Czech Republic)
2. Department of Mathematics, Faculty of Nuclear Science, Czech Technical University in Prague, Trojanova 13, 120 00 Praha (Czech Republic)

We consider a nonrelativistic quantum charged particle moving on a plane under the influence of a uniform magnetic field and driven by a periodically time-dependent Aharonov-Bohm flux. We observe an acceleration effect in the case when the Aharonov-Bohm flux depends on time as a sinusoidal function whose frequency is in resonance with the cyclotron frequency. In particular, the energy of the particle increases linearly for large times. An explicit formula for the acceleration rate is derived with the aid of the quantum averaging method, and then it is checked against a numerical solution and a very good agreement is found. - Highlights: > A nonrelativistic quantum charged particle on a plane. > A homogeneous magnetic field and a periodically time-dependent Aharonov-Bohm flux. > The quantum averaging method applied to a time-dependent system. > A resonance of the AB flux with the cyclotron frequency. > An acceleration with linearly increasing energy; a formula for the acceleration rate.

• OSTI ID: 21583288
• Journal Information: Annals of Physics (New York), Vol. 326, Issue 10; Other Information: DOI: 10.1016/j.aop.2011.06.007; PII: S0003-4916(11)00109-6; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACCELERATION
AHARONOV-BOHM EFFECT
AUGMENTATION
CHARGED PARTICLES
CYCLOTRON FREQUENCY
ELECTRON CYCLOTRON-RESONANCE
MAGNETIC FIELDS
MESONS
NUMERICAL SOLUTION
PERIODICITY
TIME DEPENDENCE
BOSONS
CYCLOTRON RESONANCE
ELEMENTARY PARTICLES
HADRONS
MATHEMATICAL SOLUTIONS
RESONANCE
VARIATIONS