Coordinate Eigenstate Representation in Noncommutative Space as a New Entangled State in Quantum Mechanics |
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| Authors: | FAN Hong-Yi TANG Xu-Bing WANG Tong-Tong |
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| Institution: | 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 |
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| Abstract: | For the first time we construct the eigenstate |τ〉of noncommutative 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. |
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| Keywords: | noncommutative coordinate's eigenstates entangled states IWOP technique |
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