Essential self-adjointness of the Schrödinger operator in a magnetic field

We consider the multidimensional Schrödinger operator in an electromagnetic field. Under certain Stummel-type conditions imposed on the magnetic and electric potentials, we prove the essential self-adjointness of the magnetic Schrödinger operator.

Saved in:
Bibliographic Details
Published in:Theoretical and mathematical physics 2011-02, Vol.166 (2), p.228-233
Main Authors: Aliev, A. R., Eyvazov, E. H.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider the multidimensional Schrödinger operator in an electromagnetic field. Under certain Stummel-type conditions imposed on the magnetic and electric potentials, we prove the essential self-adjointness of the magnetic Schrödinger operator.
ISSN:0040-5779
1573-9333
DOI:10.1007/s11232-011-0017-y