Generalized Coherent States of a Particle in a Time-Dependent Linear Potential  

作　　者：L. Krache M. Maamache Y. Saadi A. Beniaiche 

机构地区：[1]Lab PQSD, Faculté des Sciences, Université Ferhat Abbas de Sétif, Sétif 19000, Algeria [2]Lab SPONL, Faculté des Sciences de l'Ingénieur, Université Ferhat Abbas de Sétif, Sétif 19000, Algeria

出　　处：《Chinese Physics Letters》2009年第7期36-39,共4页中国物理快报（英文版）

摘　　要：We derive, with an invariant operator method and unitary transformation approach, that the Schr6dinger equation with a time-dependent linear potential possesses an infinite string of shape-preseving wave-packet states 1φ,λ （t） having classical motion. The qualitative properties of the invariant eigenvalue spectrum （discrete or continuous） are described separately for the different values of the frequency ω of a harmonic oscillator. It is also shown that, for a discrete eigenvalue spectrum, the states 1φ,λ （t） could be obtained from the coherent state 1φ,λ （t）.We derive, with an invariant operator method and unitary transformation approach, that the Schr6dinger equation with a time-dependent linear potential possesses an infinite string of shape-preseving wave-packet states 1φ,λ （t） having classical motion. The qualitative properties of the invariant eigenvalue spectrum （discrete or continuous） are described separately for the different values of the frequency ω of a harmonic oscillator. It is also shown that, for a discrete eigenvalue spectrum, the states 1φ,λ （t） could be obtained from the coherent state 1φ,λ （t）.

关 键 词：Mathematical physics Quantum information and quantum mechanics 

分 类 号：O431.2[机械工程—光学工程] Q939.1[理学—光学]