Abstract

VARGAS-MARTINEZ, J.M.; MOYA-CESSA, H.  and  FERNANDEZ GUASTI, M.. Normal and anti-normal ordered expressions for annihilation and creation operators. Rev. mex. fís. E [online]. 2006, vol.52, n.1, pp.13-16. ISSN 1870-3542.

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.

Keywords : Normal ordering; Fock state; Stirling numbers.

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