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arXiv · 0810.0684

Mathematical justification of the Aharonov-Bohm hamiltonian

Cesar R. de Oliveira·Marciano Pereira
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Abstract

It is presented, in the framework of nonrelativistic quantum mechanics, a justification of the usual Aharonov-Bohm hamiltonian (with solenoid of radius greater than zero). This is obtained by way of increasing sequences of finitely long solenoids together with a natural impermeability procedure; further, both limits commute. Such rigorous limits are in the strong resolvent sense and in both $\R^2$ and $\R^3$ spaces.

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Cesar R. de Oliveira, Marciano Pereira. 2008-10-03. Mathematical justification of the Aharonov-Bohm hamiltonian. https://doi.org/10.1007/s10955-008-9631-y

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