College Physics ›› 2016, Vol. 35 ›› Issue (5): 8-10.

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A concise approach to derivation of operator matrix element of

WAN Zhilong, LI Hengmei, HUANG Hongyun, WANG Zhen   

  1. School of Mathematical and Chemical Industry, Changzhou Institute of Technology, Changzhou, Jiangsu 213002, China Department of Materials science and Engineering, University of Science and Technology of China, Hefei, Anhui 230026, China
  • Received:2014-07-13 Revised:2015-11-03 Online:2016-05-20 Published:2016-05-20

Abstract: By introducing the Hermite polynomial operator, we derive its normally ordered expansion and inversion equation. The general formula of 〈 m | X k | n〉and 〈 m | P k | n〉for harmonic oscillator are deduced and the result is also discussed.

Key words: harmonic oscillator, Hermite polynomial operator;matrix element, normally ordered product