Essential self-adjointness of a discrete magnetic Schrödinger operator

被引：0

作者：

Sushch V.N. ^{[1
,2
]}

机构：

[1] Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv

[2] Politechnika Koszalińska, Koszalin

来源：

Journal of Mathematical Sciences | 2009年 / 160卷 / 3期

关键词：

Discrete Model; Combinatorial Model; Magnetic Potential; Jacobi Operator; Hodge Star Operator;

D O I：

10.1007/s10958-009-9504-1

中图分类号：

学科分类号：

摘要：

We prove essential self-adjointness for a semibounded from below discrete magnetic Schrödinger 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. © 2009 Springer Science+Business Media, Inc.

引用

页码：368 / 378

页数：10

共 50 条

[1] Essential self-adjointness of the Schrödinger operator in a magnetic field
A. R. Aliev
E. H. Eyvazov
[J]. Theoretical and Mathematical Physics, 2011, 166 : 228 - 233
[2] Essential Self-adjointness of Magnetic Schrödinger Operators on Locally Finite Graphs
Ognjen Milatovic
[J]. Integral Equations and Operator Theory, 2011, 71 : 13 - 27
[3] Schrödinger operators on manifolds, essential self-adjointness, and absence of eigenvalues
Harold Donnelly
Nicola Garofalo
[J]. The Journal of Geometric Analysis, 1997, 7 (2):
[4] Essential self-adjointness of the Schrodinger operator in a magnetic field
Aliev, A. R.
Eyvazov, E. H.
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2011, 166 (02) : 228 - 233
[5] The essential self-adjointness of Schrödinger operators on domains with non-empty boundary
Adam D. Ward
[J]. Manuscripta Mathematica, 2016, 150 : 357 - 370
[6] On the Essential Self-Adjointness of a Nonsemibounded Schrö odinger Operator with Strong Singularities in the Potential
A. G. Brusentsev
[J]. Differential Equations, 2002, 38 : 1524 - 1526
[7] ESSENTIAL SELF-ADJOINTNESS OF SCHRODINGER OPERATOR WITH MAGNETIC VECTOR POTENTIAL
SCHECHTER, M
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1975, 20 (02) : 93 - 104
[8] Essential Self-adjointness for Combinatorial Schrödinger Operators II-Metrically non Complete Graphs
Yves Colin de Verdière
Nabila Torki-Hamza
Françoise Truc
[J]. Mathematical Physics, Analysis and Geometry, 2011, 14 : 21 - 38
[9] ESSENTIAL SELF-ADJOINTNESS OF AN INFINITE-DIMENSIONAL OPERATOR
FROLOV, NN
[J]. MATHEMATICAL NOTES, 1978, 24 (1-2) : 630 - 634
[10] ON THE ESSENTIAL SELF-ADJOINTNESS OF THE SCHRODINGER OPERATOR WITH RANDOM POTENTIAL
GRENKOVA, LN
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1981, 36 (06) : 185 - 186

← 1 2 3 4 5 →