中国物理B ›› 2015, Vol. 24 ›› Issue (7): 70305-070305.doi: 10.1088/1674-1056/24/7/070305

• GENERAL • 上一篇    下一篇

Quantum mechanical operator realization of the Stirling numbers theory studied by virtue of the operator Hermite polynomials method

范洪义, 楼森岳   

  1. Department of Physics, Ningbo University, Ningbo 315211, China
  • 收稿日期:2015-01-10 修回日期:2015-02-05 出版日期:2015-07-05 发布日期:2015-07-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11175113).

Quantum mechanical operator realization of the Stirling numbers theory studied by virtue of the operator Hermite polynomials method

Fan Hong-Yi (范洪义), Lou Sen-Yue (楼森岳)   

  1. Department of Physics, Ningbo University, Ningbo 315211, China
  • Received:2015-01-10 Revised:2015-02-05 Online:2015-07-05 Published:2015-07-05
  • 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： Based on the operator Hermite polynomials method (OHPM), we study Stirling numbers in the context of quantum mechanics, i.e., we present operator realization of generating function formulas of Stirling numbers with some applications. As a by-product, we derive a summation formula involving both Stirling number and Hermite polynomials.

关键词: operator Hermite polynomials method (OHPM), Stirling numbers

Abstract: Based on the operator Hermite polynomials method (OHPM), we study Stirling numbers in the context of quantum mechanics, i.e., we present operator realization of generating function formulas of Stirling numbers with some applications. As a by-product, we derive a summation formula involving both Stirling number and Hermite polynomials.

Key words: operator Hermite polynomials method (OHPM), Stirling numbers

中图分类号:  (Quantum mechanics)

  • 03.65.-w
42.50.-p (Quantum optics)