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

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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Detalhes bibliográficos
Principais autores: Vargas-Martínez,J.M., Moya-Cessa,H., Fernández Guasti,M.
Formato: Digital revista
Idioma:English
Publicado em: Sociedad Mexicana de Física 2006
Acesso em linha:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1870-35422006000100002
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Descrição
Resumo: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.