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Generating function of product of bivariate Hermite polynomialsand their applications in studying quantum optical states |
| Fan Hong-Yi (范洪义)a b, Zhang Peng-Fei (张鹏飞)c, Wang Zhen (王震)d |
a Department of Physics, Ningbo University, Ningbo 315211, China;
b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;
c Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;
d College of Science, Changzhou Institute of Technology, Changzhou 213002, China |
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Abstract By virtue of the operator-Hermite-polynomial method, we derive some new generating function formulas of the product of two bivariate Hermite polynomials. Their applications in studying quantum optical states are presented.
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Received: 06 October 2014
Revised: 30 November 2014
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.-p
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(Quantum optics)
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03.67.-a
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(Quantum information)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11175113), the Fundamental Research Funds for the Central Universities of China (Grant No. WK2060140013), and the Natural Science Foundation of Jiangsu Higher Education Institution of China (Grant No. 14KJD140001). |
Corresponding Authors:
Fan Hong-Yi
E-mail: fhym@ustc.edu.cn
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| About author: 03.65.-w; 42.50.-p; 03.67.-a |
Cite this article:
Fan Hong-Yi (范洪义), Zhang Peng-Fei (张鹏飞), Wang Zhen (王震) Generating function of product of bivariate Hermite polynomialsand their applications in studying quantum optical states 2015 Chin. Phys. B 24 050303
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