Using the theory of self-adjoint extensions, we construct all the possible Hamiltonians describing the nonrelativistic Aharonov-Bohm effect. In general, the resulting Hamiltonians are not rotationally invariant so that the angular momentum is not a constant of motion. Using an explicit formula for the resolvent, we describe the spectrum and compute the generalized eigenfunctions and the scattering amplitude

Adami, R., Teta, A. (1998). On the Aharonov-Bohm Hamiltonian. LETTERS IN MATHEMATICAL PHYSICS, 43(1), 43-53 [10.1023/A:1007330512611].

On the Aharonov-Bohm Hamiltonian

Adami, R;
1998

Abstract

Using the theory of self-adjoint extensions, we construct all the possible Hamiltonians describing the nonrelativistic Aharonov-Bohm effect. In general, the resulting Hamiltonians are not rotationally invariant so that the angular momentum is not a constant of motion. Using an explicit formula for the resolvent, we describe the spectrum and compute the generalized eigenfunctions and the scattering amplitude
Articolo in rivista - Articolo scientifico
Aharonov-Bohm Hamiltonian
English
43
53
Adami, R., Teta, A. (1998). On the Aharonov-Bohm Hamiltonian. LETTERS IN MATHEMATICAL PHYSICS, 43(1), 43-53 [10.1023/A:1007330512611].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/18176
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