中国物理B ›› 2015, Vol. 24 ›› Issue (5): 50303-050303.doi: 10.1088/1674-1056/24/5/050303

• GENERAL • 上一篇    下一篇

Generating function of product of bivariate Hermite polynomialsand their applications in studying quantum optical states

范洪义a b, 张鹏飞c, 王震d   

  1. 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
  • 收稿日期:2014-10-06 修回日期:2014-11-30 出版日期:2015-05-05 发布日期:2015-05-05
  • 基金资助:
    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).

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   

  1. 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
  • Received:2014-10-06 Revised:2014-11-30 Online:2015-05-05 Published:2015-05-05
  • Contact: Fan Hong-Yi E-mail:fhym@ustc.edu.cn
  • About author:03.65.-w; 42.50.-p; 03.67.-a
  • Supported by:
    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).

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摘要： 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.

关键词: operator-Hermite-polynomials (OHP) method, generating function, product of bivariate Hermite polynomials

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.

Key words: operator-Hermite-polynomials (OHP) method, generating function, product of bivariate Hermite polynomials

中图分类号:  (Quantum mechanics)

  • 03.65.-w
42.50.-p (Quantum optics) 03.67.-a (Quantum information)