Self-adjoint Extensions of Schrödinger Operators with ?-magnetic Fields on Riemannian Manifolds

Acta Polytechnica

T. Mine¹ 

关键词: Spectral theory;    functional analysis;    self-adjointness;    Aharonov-Bohm effect;    quantum mechanics;    differential geometry;    Schrödinger operator;   

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

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.

【 授权许可】

Unknown