Normal and anti-normal ordered expressions for annihilation and creation operators

Authors

  • J.M. Vargas-Martínez
  • H. Moya-Cessa
  • M. Fernández Guasti

Keywords:

Normal ordering, Fock state, Stirling numbers

Abstract

We obtain normal and anti-normal order expressions of the number operator to the power $k$ by using the commutation relation between the annihilation and creation operators. We use those expressions to obtain general formulae for functions of the number operator in normal and anti-normal order.

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Published

2006-01-01

How to Cite

[1]
J. Vargas-Martínez, H. Moya-Cessa, and M. Fernández Guasti, “Normal and anti-normal ordered expressions for annihilation and creation operators”, Rev. Mex. Fis. E, vol. 52, no. 1 Jan-Jun, pp. 13–16, Jan. 2006.