Aharonov-Bohm Effect with $δ$--type Interaction

Details Aharonov-Bohm Effect with $δ$--type Interaction Aharonov-Bohm Effect with $δ$--type Interaction

1996-12-30

arxiv.org/abs/physics/9612014v1

J. Math. Phys. 39, 47-62, 1998

Physics

Mathematical Physics

19 pages, Latex

Scientific paper

A quantum particle interacting with a thin solenoid and a magnetic flux is described by a five-parameter family of Hamilton operators, obtained via the method of self-adjoint extensions. One of the parameters, the value of the flux, corresponds to the Aharonov-Bohm effect; the other four parameters correspond to the strength of a singular potential barrier. The spectrum and eigenstates are computed and the scattering problem is solved.

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