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New optical field operator expansion in number state representation |
| Yang Yang (杨阳)a, Fan Hong-Yi (范洪义)b |
a Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;
b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
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Abstract By virtue of the Weyl ordering method, we find a new formalism of optical field operator expansion in number state representation. Miscillaneous optical fields' (coherent state, squeezed field, Wigner operator, etc.) new expansions are therfore exhibited. Some new generating function of special polynomials are derived herewith.
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Received: 09 August 2012
Revised: 29 August 2012
Accepted manuscript online:
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PACS:
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03.65.-w
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(Quantum mechanics)
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42.50.Ar
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10975125 and 11175113). |
Corresponding Authors:
Yang Yang
E-mail: yangyang@mail.ustc.edu.cn
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Cite this article:
Yang Yang (杨阳), Fan Hong-Yi (范洪义) New optical field operator expansion in number state representation 2013 Chin. Phys. B 22 020303
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| [1] |
Wigner E P 1932 Phys. Rev. 40 749
|
| [2] |
Klauder J R and Skagerstam B S 1985 Coherent States (Singerpore: World Scientific)
|
| [3] |
Scully M O and Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press) p. 72
|
| [4] |
Glauber R J 1963 Phys. Rev. 130 2529
|
| [5] |
Glauber R J 1963 Phys. Rev. 131 2766
|
| [6] |
Weyl H 1927 Z. Phys. 46 1
|
| [7] |
Xu Y J, Fan H Y and Liu Q Y 2010 Chin. Phys. B 19 020303
|
| [8] |
Fan H Y and Yuan H C 2010 Chin. Phys. B 19 070301
|
| [9] |
Fan H Y 1992 J. Phys. A: Math. Gen. 25 3443
|
| [10] |
Fan H Y 2008 Ann. Phys. 323 1502
|
| [11] |
Fan H Y 2010 Chin. Phys. B 19 050303
|
| [12] |
Dirac P A M 1966 Lectures on Quantum Field Theory (New York: Academic Press)
|
| [13] |
Fan H Y 1993 Phys. Rev. A 47 4521
|
| [14] |
Fan H Y, Xu X X, Yuan H C, Wang S, Wang Z, Xu P and Jiang N W 2011 Chin. Phys. B 20 070301
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