A New Type of Seiberg-Witten Map and Its Application |
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Authors: | GUAN Yong LIN Bing-Sheng JING Si-Cong |
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Institution: | Department of Modern Physics, University of Science and
Technology of China, Hefei 230026, China |
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Abstract: | Deformation quantization is a powerful tool to deal with systems in
noncommutative space to get their energy spectra and corresponding
Wigner functions, especially for the case of both coordinates and
momenta being noncommutative. In order to simplify solutions of the
relevant *-genvalue equation, we introduce a new kind of
Seiberg-Witten-like map to change the variables of the noncommutative phase space into ones of a commutative phase space, and demonstrate its role via an example of two-dimensional
oscillator with both kinetic and elastic couplings in the noncommutative phase space. |
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Keywords: | deformation quantization noncommutative phase space coupled oscillator |
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