08-174 Cesar R. de Oliveira, Marciano Pereira
Mathematical justification of the Aharonov-Bohm hamiltonian (222K, pdf) Oct 3, 08
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Abstract. It is presented, in the framework of nonrelativistic quantum me- chanics, a justification of the usual Aharonov-Bohm hamiltonian (with solenoid of radius greater than zero). This is obtained by way of in- creasing sequences of finitely long solenoids together with a natural impermeability procedure; further, both limits commute. Such rigor- ous limits are in the strong resolvent sense and in both $R^2$ and $R^3$ spaces.

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