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Essential self-adjointness of a discrete magnetic Sch\'{o}dinger operator

Authors :
Sushch, Volodymyr
Source :
Journal of Mathematical Sciences, Vol. 160, no. 3, 2009
Publication Year :
2009

Abstract

We prove essential self-adjointness for a semibounded from below discrete magnetic Schr\"{o}dinger operator in a space that represents a combinatorial model of the two-dimensional Euclidean space. The Dezin discretization scheme is used for constructing a discrete model.<br />Comment: 9 pages

Subjects

Subjects :
Mathematics - Analysis of PDEs
Mathematical Physics
35J10, 39A12, 39A70

Details

Database :
arXiv
Journal :
Journal of Mathematical Sciences, Vol. 160, no. 3, 2009
Publication Type :
Report
Accession number :
edsarx.0909.4671
Document Type :
Working Paper

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