Application of Coordinate-Momentum Intermediate Representation in Solving Eigenstate Problem of a Coupled Oscillator System
Application of Coordinate-Momentum Intermediate Representation in Solving Eigenstate Problem of a Coupled Oscillator System作者机构：Department of Physics Shanghai Jiao Tong University Shanghai 200030 China
出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)
年 卷 期：2005年第44卷第3X期
页 面：440-444页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：coordinator-momentum intermediate representation coupled oscillator operator transformation method
摘 要：We study the eigenstate problem of a kind of coupled oscillators in the new quantum mechanical representation ｜q,μ,υ〉, which is defined as the eigenvector of the operator （μQ ＋ υP）, whereμ and υ are two real parameters. We also use the U operator transformation method to deal with the same problem. We obtain the normally ordered product expressions of U operator and eigenvector. It is shown that the ground state of system Hamiltonian is a squeezed state.
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