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Title: On spectral perturbation caused by bounded variation of potential

The harmonic oscillator operator is perturbed by an arbitrary bounded continuous term. This results in the perturbation of the spectrum. The map sending the first of these perturbations into the second is examined. Its approximation by a linear map is studied. Bibliography: 2 titles.
Authors:
 [1]
  1. N.E. Bauman Moscow State Technical University, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
22365786
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 1; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; APPROXIMATIONS; DISTURBANCES; HARMONIC OSCILLATORS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; PERTURBATION THEORY; POTENTIALS; VARIATIONS