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The Aharonov-Bohm effect for the stationary and coherent states of an electron in a homogeneous magnetic field

Vladislav G. Bagrov, Dmitri M Gitman, Vladimir D. Skarzhinsky

Jan 1, 19861 citation

Scattering theory and the Aharonov–Bohm effect in quasiclassical physics

Yu. A. Sitenko, Nadiia D. Vlasii

arXiv:1008.1562Annals of PhysicsJan 26, 20115 citations

Nonstationary Aharonov-Bohm effect and its relation with EPR paradox

N. A. Volchkov, L. N. Zherikhina, А. Л. Карузский +2 more

Jan 1, 20130 citations

Coherent states of non-relativistic electron in the magnetic–solenoid field

Vladislav G. Bagrov, Sergei P. Gavrilov, Dmitri M Gitman +1 more

In the present work we construct coherent states in the magnetic–solenoid field, which is a superposition of the Aharonov–Bohm field and a collinear uniform magnetic field. In the problem under consideration there are two kinds of coherent states, those which correspond to classical trajectories which embrace the solenoid and those which do not. The constructed coherent states reproduce exactly classical trajectories, maintain their form under the time evolution and form a complete set of functions, which can be useful in semiclassical calculations. In the absence of the solenoid field these states are reduced to the well known in the case of uniform magnetic field Malkin–Man'ko coherent states.In the present work we construct coherent states in the magnetic–solenoid field, which is a superposition of the Aharonov–Bohm field and a collinear uniform magnetic field. In the problem under consideration there are two kinds of coherent states, those which correspond to classical trajectories which embrace the solenoid and those which do not. The constructed coherent states reproduce exactly classical trajectories, maintain their form under the time evolution and form a complete set of functions, which can be useful in semiclassical calculations. In the absence of the solenoid field these states are reduced to the well known in the case of uniform magnetic field Malkin–Man'ko coherent states.

arXiv:1002.2256Journal of Physics A Mathematical and TheoreticalAug 12, 20107 citations

Aharonov-Bohm effect in scattering of high-energy particles

Yu. A. Sitenko, N.D. Vlasii

Quantum-mechanical scattering of coherent high-energy charged particles by a magnetic vortex is considered. The vortex core is assumed to be impermeable to scattered particles, and effects of its transverse size are taken into account. The limit of high energies of scattered particles corresponds to the quasiclassical limit, and we show that in the scattering the Aharonov-Bohm effect persists in this limit owing to the Fraunhofer diffraction in the forward direction. The issue of the experimental detection of the Fraunhofer diffraction peak and the Aharonov-Bohm effect in the quasiclassical limit is discussed.Quantum-mechanical scattering of coherent high-energy charged particles by a magnetic vortex is considered. The vortex core is assumed to be impermeable to scattered particles, and effects of its transverse size are taken into account. The limit of high energies of scattered particles corresponds to the quasiclassical limit, and we show that in the scattering the Aharonov-Bohm effect persists in this limit owing to the Fraunhofer diffraction in the forward direction. The issue of the experimental detection of the Fraunhofer diffraction peak and the Aharonov-Bohm effect in the quasiclassical limit is discussed.

Jan 1, 20120 citations

Aharonov–Bohm Effect in the Photodetachment Microscopy of Hydrogen Negative Ions in an Electric Field

Dehua Wang

The Aharonov–Bohm (AB) effect in the photodetachment microscopy of the H− ions in an electric field has been studied on the basis of the semiclassical theory. After the H− ion is irradiated by a laser light, they provide a coherent electron source. When the detached electron is accelerated by a uniform electric field, two trajectories of a detached electron which run from the source to the same point on the detector, will interfere with each other and lead to an interference pattern in the photodetachment microscopy. After the solenoid is electrified beside the H− ion, even though no Lorentz force acts on the electron outside the solenoid, the photodetachment microscopy interference pattern on the detector is changed with the variation in the magnetic flux enclosed by the solenoid. This is caused by the AB effect. Under certain conditions, the interference pattern reaches the macroscopic dimensions and could be observed in a direct AB effect experiment. Our study can provide some predictions for the future experimental study of the AB effect in the photodetachment microscopy of negative ions.The Aharonov–Bohm (AB) effect in the photodetachment microscopy of the H− ions in an electric field has been studied on the basis of the semiclassical theory. After the H− ion is irradiated by a laser light, they provide a coherent electron source. When the detached electron is accelerated by a uniform electric field, two trajectories of a detached electron which run from the source to the same point on the detector, will interfere with each other and lead to an interference pattern in the photodetachment microscopy. After the solenoid is electrified beside the H− ion, even though no Lorentz force acts on the electron outside the solenoid, the photodetachment microscopy interference pattern on the detector is changed with the variation in the magnetic flux enclosed by the solenoid. This is caused by the AB effect. Under certain conditions, the interference pattern reaches the macroscopic dimensions and could be observed in a direct AB effect experiment. Our study can provide some predictions for the future experimental study of the AB effect in the photodetachment microscopy of negative ions.

Journal of the Physical Society of JapanAug 28, 20140 citations

The Aharonov-Bohm effect for nonstationary quasiclassical trajectory-coherent states in a uniform magnetic field

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