• Corpus ID: 115164722

Analytic functions of the annihilation operator

  title={Analytic functions of the annihilation operator},
  author={Aleksandar Petrovic},
  journal={arXiv: Mathematical Physics},
  • 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. 
1 Citations

Construction of the phase operator using logarithm of the annihilation operator

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'



Complex Analysis


  • Math. Phys. 6 (Engl.Transl.), 213
  • 1971

Theory of function of complex variable

  • 1977