Coordinate Eigenstate Representation in Noncommutative Space as a New Entangled State in Quantum Mechanics  

作　　者：FAN Hong-Yi TANG Xu-Bing WANG Tong-Tong 

机构地区：[1]Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China [2]Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

出　　处：《Communications in Theoretical Physics》2007年第4X期633-636,共4页理论物理通讯（英文版）

基　　金：The project supported by Specialized Research Fund for the Doctorial Progress of Higher Education （SRFDP） under Grant No. 2004035819

摘　　要：For the first time we construct the eigenstate ｜τ〉 of noncommutatlve coordinate. It turns out that｜τ〉 is an entangled state in the ordinary space. Remarkably, its Schmidt decomposition has definite expression in the coordinate representation and the momentum representation. The 〈τ｜ representation can simplify some calculations for obtaining energy level of two-dimensional oscillator in noncommutative space.

关 键 词：noncommutative coordinate＇s eigenstates entangled states IWOP technique 

分 类 号：O413.1[理学—理论物理]