Summation formula inequalities for eigenvalues of Schrodinger operators

被引：1

作者：

Freitas, Pedro ^{[1
,2
]}

Kennedy, James B. ^{[3
,4
]}

机构：

[1] Univ Lisbon, Dept Math, Fac Human Kinet, Edificio C6, P-1749016 Lisbon, Portugal

[2] Univ Lisbon, Fac Sci, Grp Math Phys, Edificio C6, P-1749016 Lisbon, Portugal

[3] Univ Ulm, Inst Anal, Helmholtzstr 18, D-89069 Ulm, Germany

[4] Univ Stuttgart, Inst Anal Dynam & Modelling, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

来源：

JOURNAL OF SPECTRAL THEORY | 2016年 / 6卷 / 03期

关键词：

Eigenvalues; trace formulae; PERTURBED HARMONIC-OSCILLATOR; LAPLACIAN; DOMAINS;

D O I：

10.4171/JST/130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive inequalities for sums of eigenvalues of Schrodinger operators on finite intervals and tori. In the first of these cases, the inequalities converge to the classical trace formulae in the limit as the number of eigenvalues considered approaches infinity.

引用

页码：483 / 503

页数：21

共 17 条

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