Microscopic theory of the Aharonov-Bohm effect
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چکیده
منابع مشابه
Microscopic theory of the Aharonov-Bohm effect
– A fully quantum theory of the Aharonov-Bohm effect is presented. It is based on the interaction, mediated by virtual photon exchange, between the traveling electron and the atomic magnetic dipoles of an infinitely long permanent magnet. The calculation involves second-order time-dependent perturbation theory. As expected, the relative phase between the two states —corresponding to the two alt...
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The perturbation theory expansion of the Aharonov-Bohm scattering amplitude has previously been studied in the context of quantum mechanics for spin zero and spin-1/2 particles as well in Galilean covariant field theory. This problem is reconsidered in the framework of the model in which the flux line is considered to have a finite radius which is shrunk to zero at the end of the calculation. G...
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A charge e, moving with the velocity v through a time-constant space-varying magnetic potential field A, experiences a force of motional induction given by F v A = − ⋅ ∇ e c a f. Although the magnetic field is zero, B = 0; this force acts on the electrons passing on the two sides of a long sole-noid to produce the phase shift difference observed in the Aharonov-Bohm effect. PACS 03.65 – Quantum...
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Noise in an ac biased junction. Non-stationary Aharonov-Bohm effect. Abstract We study excess noise in a quantum conductor in the presence of constant voltage and alternating external field. Due to a two particle interference effect caused by Fermi correlations the noise is sensitive to the phase of the time dependent transmission amplitude. We compute spectral density and show that at T = 0 th...
متن کاملClassical Aspects of the Aharonov-Bohm Effect
(−ih̄D)2 2m ψ = ih̄D0ψ, using the “altered” (covariant) derivative Dμ = ∂μ − ieAμ/h̄c, (1) which is gauge invariant only if the gauge transformation of the potentials, Aμ(xν) → Aμ + ∂μΩ(xν), is accompanied by a phase change of the wavefunction, ψ(xν) → e−ieΩ(xν )/h̄c ψ. Yang and Mills (1954) [4, 5] may have been the first to point out that Fock’s argument can be inverted such that a requirement of ...
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ژورنال
عنوان ژورنال: Europhysics Letters (EPL)
سال: 1999
ISSN: 0295-5075,1286-4854
DOI: 10.1209/epl/i1999-00182-9