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Operators' s-parameterized ordering and its classical correspondence in quantum optics theory |
| Fan Hong-Yi(范洪义)a), Yuan Hong-Chun(袁洪春)a)†, and Hu Li-Yun(胡利云)b) |
| a Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; b College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China |
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Abstract In reference to the Weyl ordering   , where X and P are coordinate and momentum operator, respectively, this paper examines operators' s-parameterized ordering and its classical correspondence, finds the fundamental function-operator correspondence  and its complementary relation  , where Hm,n is the two-variable Hermite polynomial,  are bosonic annihilation and creation operators respectively, s is a complex parameter. The s'-ordered operator power-series expansion of s-ordered operator  in terms of the two-variable Hermite polynomial is also derived. Application of operators' s-ordering formula in studying displaced-squeezed chaotic field is discussed.
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Received: 13 March 2010
Revised: 31 March 2010
Accepted manuscript online:
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PACS:
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02.10.De
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(Algebraic structures and number theory)
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42.50.Ar
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174). |
Cite this article:
Fan Hong-Yi(范洪义), Yuan Hong-Chun(袁洪春), and Hu Li-Yun(胡利云) Operators' s-parameterized ordering and its classical correspondence in quantum optics theory 2010 Chin. Phys. B 19 104204
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