On Some Sharp Spectral Inequalities for Schrodinger Operators on Semiaxis
File(s)ExLapUs_revised_2.pdf (252.44 KB)
Accepted version
Author(s)
Exner, P
Laptev, A
Usman, M
Type
Journal Article
Abstract
In this paper we obtain sharp Lieb–Thirring inequalities for a Schrödinger
operator on semiaxis with a matrix potential and show how they can be used to other
related problems. Among them are spectral inequalities on star graphs and spectral
inequalities for Schrödinger operators on half-spaces with Robin boundary conditions.
operator on semiaxis with a matrix potential and show how they can be used to other
related problems. Among them are spectral inequalities on star graphs and spectral
inequalities for Schrödinger operators on half-spaces with Robin boundary conditions.
Date Issued
2014-03-01
Date Acceptance
2013-05-06
Citation
Communications in Mathematical Physics, 2014, 326 (2), pp.531-541
ISSN
0010-3616
Publisher
Springer
Start Page
531
End Page
541
Journal / Book Title
Communications in Mathematical Physics
Volume
326
Issue
2
Copyright Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/s00220-014-1885-4
Subjects
Science & Technology
Physical Sciences
Physics, Mathematical
Physics
PHYSICS, MATHEMATICAL
LIEB-THIRRING INEQUALITIES
CONSTANTS
BOUNDS
PROOF
Publication Status
Published
Date Publish Online
2014-02-02