Analysis of Aharonov-Bohm effect due to time-dependent vector potentials

1992 ◽  
Vol 45 (7) ◽  
pp. 4319-4325 ◽  
Author(s):  
B. Lee ◽  
E. Yin ◽  
T. K. Gustafson ◽  
R. Chiao
Keyword(s):  
Time Dependent ◽  
Vector Potentials ◽  
Dependent Vector ◽  
Bohm Effect ◽  
Aharonov Bohm

Magnetic Aharonov-Bohm effect under time-dependent vector potential

2000 ◽  
Vol 26 (5) ◽  
pp. 392-393 ◽  
Author(s):  
A. N. Ageev ◽  
S. Yu. Davydov ◽  
A. G. Chirkov
Keyword(s):  
Vector Potential ◽  
Time Dependent ◽  
Dependent Vector ◽  
Bohm Effect ◽  
Aharonov Bohm

scholarly journals A general method for deriving vector potentials produced by knotted solenoids

2014 ◽  
Vol 29 (35) ◽  
pp. 1450189
Author(s):  
V. V. Sreedhar
Keyword(s):  
Magnetic Field ◽  
Charged Particles ◽  
Vector Potentials ◽  
Bohm Effect ◽  
Figure Eight Knot ◽  
Aharonov Bohm ◽  
The Magnetic Field ◽  
General Method

A general method for deriving exact expressions for vector potentials produced by arbitrarily knotted solenoids is presented. It consists of using simple physics ideas from magnetostatics to evaluate the magnetic field in a surrogate problem. The latter is obtained by modeling the knot with wire segments carrying steady currents on a cubical lattice. The expressions for a 31 (trefoil) and a 41 (figure-eight) knot are explicitly worked out. The results are of some importance in the study of the Aharonov–Bohm effect generalized to a situation in which charged particles moving through force-free regions are scattered by fluxes confined to the interior of knotted impenetrable tubes.

scholarly journals The covariant, time-dependent Aharonov–Bohm effect

2013 ◽  
Vol 723 (1-3) ◽  
pp. 241-244 ◽  
Author(s):  
Douglas Singleton ◽  
Elias C. Vagenas
Keyword(s):  
Time Dependent ◽  
Bohm Effect ◽  
Aharonov Bohm

TOPOLOGICAL EFFECTS IN QUANTUM MECHANICS AND HIGH VELOCITY ESTIMATES

2011 ◽  
Vol 20 (05) ◽  
pp. 951-961 ◽  
Author(s):  
RICARDO WEDER
Keyword(s):  
Exact Solution ◽  
Quantum Mechanics ◽  
Error Bounds ◽  
High Velocity ◽  
Wave Packets ◽  
Finite Energy ◽  
Time Dependent ◽  
Rigorous Proof ◽  
Bohm Effect ◽  
Aharonov Bohm

We consider the problem of obtaining high-velocity estimates for finite energy solutions (wave packets) to Schrödinger equations for N-body systems. We discuss a time-dependent method that allows us to obtain precise estimates with error bounds that decay as a power of the velocity. We apply this method to the electric Aharonov–Bohm effect. We give the first rigorous proof that quantum mechanics predicts the existence of this effect. Our result follows from an estimate in norm, uniform in time, that proves that the Aharonov–Bohm Ansatz is a good approximation to the exact solution to the Schrödinger equation for high velocity.

scholarly journals Generalized KG-oscillator with a uniform magnetic field under the influence of Coulomb-type potentials in cosmic string space-time and Aharonov-Bohm effect

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Magnetic Field ◽  
Cosmic String ◽  
Uniform Magnetic Field ◽  
Bound States ◽  
Space Time ◽  
Vector Potentials ◽  
Klein Gordon ◽  
Relativistic Analogue ◽  
Bohm Effect ◽  
Aharonov Bohm

We solve a generalized Klein-Gordon oscillator (KGO) in the presence of a uniform magnetic field including quantum flux under the effects of a scalar and vector potentials of Coulomb-types in the static cosmic string space-time. We obtain the energy and corresponding eigenfunctions, and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states.

scholarly journals On the time-dependent Aharonov–Bohm effect

2017 ◽  
Vol 774 ◽  
pp. 87-90 ◽  
Author(s):  
Jian Jing ◽  
Yu-Fei Zhang ◽  
Kang Wang ◽  
Zheng-Wen Long ◽  
Shi-Hai Dong
Keyword(s):  
Time Dependent ◽  
Bohm Effect ◽  
Aharonov Bohm
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