Three dimensional Green function in cylindrical coordinates: application to the Aharonov–Bohm effect of double arc-slits | Zendy

Samak Boonpan | Zendy; C. Muthaporn | Zendy

Open Access

Three dimensional Green function in cylindrical coordinates: application to the Aharonov–Bohm effect of double arc-slits

Author(s) -

Samak Boonpan,

C. Muthaporn

Publication year - 2020

Publication title -

journal of physics communications

Language(s) - English

Resource type - Journals

ISSN - 2399-6528

DOI - 10.1088/2399-6528/abca77

Subject(s) - wave function , arc (geometry) , physics , generalization , function (biology) , magnetic field , vector potential , flux (metallurgy) , double slit experiment , classical mechanics , mathematical analysis , geometry , quantum mechanics , mathematics , chemistry , organic chemistry , evolutionary biology , quantum , biology

The object of this paper is the generalization of the theoretical calculation of the probability density of finding a charged particle crossing the double arc -slit in the presence of the vector potential. The explicit derivations is carried out in cylindrical coordinates for the Green functions for the underlying problem corresponding to a particle in free magnetic field, for a quantized as well as a non-quantized flux. The discussion in this paper will be limited to the uniform wavefunction of each particle on the surfaces of double arc-slits.

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