Self-adjoint Extensions of Schrödinger Operators with ?-magnetic Fields on Riemannian Manifolds
DOI:
https://doi.org/10.14311/1271Keywords:
Spectral theory, functional analysis, self-adjointness, Aharonov-Bohm effect, quantum mechanics, differential geometry, Schrödinger operatorAbstract
We consider the magnetic Schr¨odinger operator on a Riemannian manifold M. We assume the magnetic field is given by the sum of a regular field and the Dirac δ measures supported on a discrete set Γ in M. We give a complete characterization of the self-adjoint extensions of the minimal operator, in terms of the boundary conditions. The result is an extension of the former results by Dabrowski-Šťoviček and Exner-Šťoviček-Vytřas.Downloads
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