Normal and anti-normal ordered expressions for annihilation and creation operators
classification
🪐 quant-ph
keywords
anti-normalexpressionsnormalannihilationcreationgivenumberoperator
read the original abstract
We give the 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 give general formulae for functions of the number operator in normal and anti-normal order.
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