Aharonov–Bohm effect with δ-type interaction | Zendy

Ludwik Dąbrowski | Zendy; P. Šťovı́ček | Zendy

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Aharonov–Bohm effect with δ-type interaction

Author(s) -

Ludwik Dąbrowski,

P. Šťovı́ček

Publication year - 1998

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.532307

Subject(s) - type (biology) , aharonov–bohm effect , physics , theoretical physics , algebra over a field , mathematics , computer science , pure mathematics , quantum mechanics , electromagnetic field , ecology , biology

A quantum particle interacting with a thin solenoid and a magnetic flux isdescribed by a five-parameter family of Hamilton operators, obtained via themethod of self-adjoint extensions. One of the parameters, the value of theflux, corresponds to the Aharonov-Bohm effect; the other four parameterscorrespond to the strength of a singular potential barrier. The spectrum andeigenstates are computed and the scattering problem is solved.Comment: 19 pages, Late

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