A. R. Aliev, E. Kh. Eivazov, “Essential self-adjointness of the Schrödinger operator in a magnetic field”, TMF, 2011, Volume 166, Number 2,Pages <nobr>266

This article is cited in 5 papers

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

A. R. Aliev^ab, E. Kh. Eivazov^a

^a Baku State University, Baku, Azerbaijan
^b Institute of Mathematics and Mechanics, Azerbaijanian National Academy of Sciences, Baku, Azerbaijan

Abstract: 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.

Keywords: magnetic Schrödinger operator, quantum mechanics, essential self-adjointness, electromagnetic potential.

Received: 17.07.2010

DOI: 10.4213/tmf6608