# Analytic functions of the annihilation operator

@article{Petrovic2010AnalyticFO, title={Analytic functions of the annihilation operator}, author={Aleksandar Petrovic}, journal={arXiv: Mathematical Physics}, year={2010} }

A method for construction of analytic function f of the annihilation operator is given for the first time. f(z) is analytic on some compact domain that does not separate the complex plane. A new form of the identity is given, which is well suited for domain of function. Using Runge's polynomial approximation theorem, such a function f of the annihilation operator is defined on the whole domain. The constructed operators are given in terms of dyads formed of Fock states.

## One Citation

### Construction of the phase operator using logarithm of the annihilation operator

- Mathematics
- 2010

We investigate a lema that excludes existence of the phase operator and present a condition to avoid the lema. A method for construction of an analytic function 'f' of the annihilation operator 'a'…

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