97-37 R. Adami, A. Teta

On the Aharonov-Bohm Hamiltonian (31K, LaTex) Jan 30, 97

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Abstract. Using the theory of self-adjoint extensions, we construct all the possible hamiltonians describing the non relativistic 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.

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