• Corpus ID: 115164722

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. Petrovic
• Published 5 January 2010
• Mathematics
• arXiv: Mathematical Physics

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.