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Generalised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field | | Pavel Exner
; Pavel Stovicek
; Petr Vytras
; | | Date: |
8 Nov 2001 | | Journal: | J. Math. Phys. 43 (2002), 2151-2168 | | Subject: | Quantum Physics; Mathematical Physics | quant-ph cond-mat math-ph math.MP | | Abstract: | The most general admissible boundary conditions are derived for an idealised Aharonov-Bohm flux intersecting the plane at the origin on the background of a homogeneous magnetic field. A standard technique based on self-adjoint extensions yields a four-parameter family of boundary conditions; other two parameters of the model are the Aharonov-Bohm flux and the homogeneous magnetic field. The generalised boundary conditions may be regarded as a combination of the Aharonov-Bohm effect with a point interaction. Spectral properties of the derived Hamiltonians are studied in detail. | | Source: | arXiv, quant-ph/0111050 | | Services: | Forum | Review | PDF | Favorites | |
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