On the spectrum of a vector Schrodinger operator

被引：4

作者：

Ismagilov, R. S. ^{[1
]}

Kostyuchenko, A. G.

机构：

[1] Bauman Moscow State Tech Univ, Moscow, Russia

[2] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2007年 / 41卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Schrodinger operator; self-adjointness; discrete spectrum; counting function;

D O I：

10.1007/s10688-007-0003-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the asymptotics of the spectrum of a Sturm-Liouville operator acting on a space of vector functions and show that this asymptotics is affected by "rotation" of eigenvectors of the potential. A similar result is obtained for a vector Schrodinger operator.

引用

页码：31 / 41

页数：11

共 50 条

[1] On the spectrum of a vector Schrodinger operator
Ismagilov, R. S.
Kostyuchenko, A. G.
DOKLADY MATHEMATICS, 2006, 74 (03) : 854 - 856
[2] THE SPECTRUM OF THE SCHRODINGER OPERATOR
SCHECHTER, M
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 312 (01) : 115 - 128
[3] COMMENTARY ON SPECTRUM OF SCHRODINGER OPERATOR
MULLERPFEIFFER, E
MATHEMATISCHE NACHRICHTEN, 1973, 58 (1-6) : 299 - 303
[4] ON POINT SPECTRUM OF SCHRODINGER OPERATOR
MIZOHATA, S
MOCHIZUKI, K
PROCEEDINGS OF THE JAPAN ACADEMY, 1963, 39 (09): : 661 - &
[5] THE POINT SPECTRUM OF THE SCHRODINGER OPERATOR
BERTHIER, AM
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1980, 290 (08): : 393 - 395
[6] DISCRETENESS OF SPECTRUM OF SCHRODINGER OPERATOR
BALSLEV, E
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 305 - &
[7] On the negative spectrum of the hierarchical Schrodinger operator
Molchanov, S.
Vainberg, B.
JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 263 (09) : 2676 - 2688
[8] On the Discreteness of the Spectrum of the magnetic Schrodinger operator
Aliev, A. R.
Eyvazov, E. H.
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2012, 46 (04) : 305 - 307
[9] SPECTRUM OF A RANDOM SCHRODINGER DIFFERENCE OPERATOR
MALOZEMOV, LA
MATHEMATICAL NOTES, 1991, 50 (3-4) : 935 - 938
[10] On the infimum of the spectrum of a relativistic Schrodinger operator
El Aidi, Mohammed
FORUM MATHEMATICUM, 2017, 29 (03) : 575 - 579

← 1 2 3 4 5 →