中国物理B ›› 2015, Vol. 24 ›› Issue (10): 100302-100302.doi: 10.1088/1674-1056/24/10/100302

• GENERAL • 上一篇    下一篇

A new kind of special function and its application

范洪义a, 万志龙a, 吴泽b, 张鹏飞b   

  1. a Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;
    b Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
  • 收稿日期:2015-02-27 修回日期:2015-05-06 出版日期:2015-10-05 发布日期:2015-10-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11175113).

A new kind of special function and its application

Fan Hong-Yi (范洪义)a, Wan Zhi-Long (万志龙)a, Wu Ze (吴泽)b, Zhang Peng-Fei (张鹏飞)b   

  1. a Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;
    b Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
  • Received:2015-02-27 Revised:2015-05-06 Online:2015-10-05 Published:2015-10-05
  • Contact: Fan Hong-Yi E-mail:fhym@ustc.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11175113).

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摘要： By virtue of the operator Hermite polynomial method and the technique of integration within the ordered product of operators we derive a new kind of special function, which is closely related to one- and two-variable Hermite polynomials. Its application in deriving the normalization for some quantum optical states is presented.

关键词: new special function, new operator identities and integration formulas, Hermite-polynomial excitation state, integration within ordered product of operators (IWOP) method

Abstract: By virtue of the operator Hermite polynomial method and the technique of integration within the ordered product of operators we derive a new kind of special function, which is closely related to one- and two-variable Hermite polynomials. Its application in deriving the normalization for some quantum optical states is presented.

Key words: new special function, new operator identities and integration formulas, Hermite-polynomial excitation state, integration within ordered product of operators (IWOP) method

中图分类号:  (Quantum mechanics)

  • 03.65.-w
42.50.-p (Quantum optics) 02.30.Gp (Special functions)