Generalized Weyl Ordering and Nonlinear Coherent States |
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| Authors: | FAN Hong-Yi |
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| Affiliation: | Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China;Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | In the context of the nonlinear coherent state (NLCS) theory we introduce the generalized Weyl ordering operator formulation. The correspondinggeneralized Wigner operator turns out to be the Weyl ordered Diracδ-operator functions. The completeness relation of NLCS is recast into generalized Weyl ordering form. The relationship between normal ordering, antinormal ordering and the generalized Weyl ordering is established which constitute a self-consistent theory for NLCS. |
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| Keywords: | nonlinear coherent states generalized Weyl ordering |
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