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

• 来源期刊: 理论物理通讯(英文版)
• 年，卷（期）: 2008,（12）
• 页码范围: 1348-1350
• 页数: 3页
• 语种: 英文

摘要

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.