Published February 28, 2013 | Version v1
Journal article Metadata-only

Asymptotics of the spectrum and quantum averages of a perturbed resonant oscillator near the boundaries of spectral clusters

Creators

  • 1. Moscow Power Engineering Institute (Technical University) (Russian Federation)

Description

In the eigenvalue problem for a perturbed two-dimensional oscillator, we suggest a method for constructing asymptotic solutions near the boundaries of spectral clusters by means of a new integral representation and study the issue of calculating the average values of differential operators on the solutions near the boundaries of the clusters.

Availability note (English)

Available from http://dx.doi.org/10.1070/IM2013v077n01ABEH002632

Additional details

Identifiers

DOI
10.1070/IM2013v077n01ABEH002632;

Publishing Information

Journal Title
Izvestiya. Mathematics
Journal Volume
77
Journal Issue
1
Journal Page Range
p. 163-210
ISSN
1064-5632

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44094313
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ASYMPTOTIC SOLUTIONS; BOUNDARY CONDITIONS; EIGENVALUES; INTEGRALS; MATHEMATICAL SOLUTIONS; OSCILLATORS; PERTURBATION THEORY; SPECTRA; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
ELECTRONIC EQUIPMENT; EQUIPMENT; MATHEMATICAL SOLUTIONS