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

Quantum mechanical operator realization of the Stirling numbers theory studied by virtue of the operator Hermite polynomials method
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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. 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.
机构地区 Department of Physics
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第7期102-105,共4页 中国物理B(英文版)
基金 Project supported by the National Natural Science Foundation of China(Grant No.11175113)
关键词 operator Hermite polynomials method(OHPM) Stirling numbers operator Hermite polynomials method(OHPM),Stirling numbers
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参考文献12

  • 1Abramowitz M and Stegun I 1972 Stirling Numbers of the First Kind, in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (New York: Dover) p. 824.
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