Published December 15, 2008 | Version v1
Journal article

Energy Level of Three-Mode Harmonic Oscillator for Coordinate Operators Satisfying Cyclic Commutative Relations Obtained by IEO Method

  • 1. Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026 (China)

Description

Eigenvalue-solution to those Hamiltonians involving non-commutative coordinates is not easily obtained. In this paper we apply the invariant eigen-operator (IEO) method to solving the energy spectrum of the three-mode harmonic oscillator in non-commutative space with the coordinate operators satisfying cyclic commutative relations, [X1,X2] = [X2,X3] = [X3,X1] = iθ, and this method seems effective and concise

Availability note (English)

Available from http://dx.doi.org/10.1088/0253-6102/50/6/21

Additional details

Identifiers

Publishing Information

Journal Title
Communications in Theoretical Physics
Journal Volume
50
Journal Issue
6
Journal Page Range
p. 1348-1350
ISSN
0253-6102

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40081431
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COORDINATES; EIGENVALUES; ENERGY LEVELS; ENERGY SPECTRA; HAMILTONIANS; HARMONIC OSCILLATORS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE
Descriptors DEC
MATHEMATICAL OPERATORS; QUANTUM OPERATORS; SPACE; SPECTRA