Combinatorial Approach to Boson Anti-Normal Ordering Problem

Details Combinatorial Approach to Boson Anti-Normal Ordering Problem Combinatorial Approach to Boson Anti-Normal Ordering Problem

2012-04-16

arxiv.org/abs/1204.3652v1

Physics

Mathematical Physics

Scientific paper

We address a systematic combinatorial approach to the anti-normal ordering problem. In this way, we use the Stirling numbers and their generating function, the so-called Bell polynomials, together with the operational methods to anti-normal the operator ${e^{\lambda {a^\dag}a}}$. In fact, we exploit the new theorem given by Sh\"ahandeh et al. in a special case of anti-normal ordering.

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