On the Aharonov-Bohm Effect

Details On the Aharonov-Bohm Effect On the Aharonov-Bohm Effect

1997-02-25

arxiv.org/abs/quant-ph/9702048v1

Lett.Math.Phys. 43 (1998) 43-53

Physics

Quantum Physics

15 pages, latex, no figures

Scientific paper

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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