Published January 2004
| Version v1
Journal article
On the local perturbations of the Schroedinger operator on a plane
Creators
- 1. Bashkirskij Gosudarstvennyj Pedagogicheskij Univ., Ufa (Russian Federation)
Description
The required and sufficient conditions for origination of the Schroedinger operator eigenvalue on the plane by the local operator perturbations are obtained. In the case, wherein there exists the eigenvalue, its asymptotics is plotted. The corresponding examples are presented
Abstract (Russian)
Получены необходимые и достаточные условия возникновения малого собственного значения оператора Шредингера на плоскости при локальных операторных возмущениях. В случае, когда собственное значение имеется, построена его асимптотика. Приведены примерыAdditional details
Additional titles
- Original title (Russian)
- О локальных возмущениях оператора Шредингера на плоскости
Publishing Information
- Journal Title
- Teoreticheskaya i Matematicheskaya Fizika
- Journal Volume
- 138
- Journal Issue
- 1
- Journal Page Range
- p. 41-54
- ISSN
- 0564-6162
- CODEN
- TMFZAL
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- Russian Federation
- INIS RN
- 36079449
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; DISTURBANCES; EIGENFUNCTIONS; EIGENVALUES; PARAMETRIC ANALYSIS; QUANTUM OPERATORS; SCHROEDINGER EQUATION; SET THEORY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS
Optional Information
- Notes
- 7 refs.