scholarly journals The interaction of magnetizations with an external electromagnetic field and a time-dependent magnetic Aharonov-Bohm effect

1996 ◽  
Vol 54 (5) ◽  
pp. 417-427 ◽  
Author(s):  
G N Afanasiev ◽  
M Nelhiebel ◽  
Yu P Stepanovsky
Keyword(s):  
Electromagnetic Field ◽  
External Electromagnetic Field ◽  
Time Dependent ◽  
Bohm Effect ◽  
Aharonov Bohm

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

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

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 A Non-Local Action for Electrodynamics: Duality Symmetry and the Aharonov-Bohm Effect, Revisited

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1191 ◽  
Author(s):  
Joan Bernabeu ◽  
Jose Navarro-Salas
Keyword(s):  
Electromagnetic Field ◽  
Magnetic Fields ◽  
Harmonic Oscillator ◽  
Local Action ◽  
Action Functional ◽  
Duality Symmetry ◽  
Electric And Magnetic Fields ◽  
Non Local ◽  
Bohm Effect ◽  
Aharonov Bohm

A non-local action functional for electrodynamics depending on the electric and magnetic fields, instead of potentials, has been proposed in the literature. In this work we elaborate and improve this proposal. We also use this formalism to confront the electric-magnetic duality symmetry of the electromagnetic field and the Aharonov–Bohm effect, two subtle aspects of electrodynamics that we examine in a novel way. We show how the former can be derived from the simple harmonic oscillator character of vacuum electrodynamics, while also demonstrating how the magnetic version of the latter naturally arises in an explicitly non-local manner.

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

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
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