Coordinate Eigenstate Representation in Noncommutative Space as a New Entangled State in Quantum Mechanics
| Autor: | Fan Hong-Yi, Tang Xu-Bing, Wang Tong-Tong |
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| Rok vydání: | 2007 |
| Předmět: |
Physics
Quantum differential calculus Physics and Astronomy (miscellaneous) Schmidt decomposition Quantum mechanics Noncommutative algebraic geometry State (functional analysis) Noncommutative quantum field theory Space (mathematics) Noncommutative geometry Eigenvalues and eigenvectors Mathematical physics |
| Zdroj: | Communications in Theoretical Physics. 48:633-636 |
| ISSN: | 0253-6102 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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