Analytic functions of the annihilation operator
Mathematical Physics
2010-05-14 v3 math.MP
Quantum Physics
Abstract
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.
Cite
@article{arxiv.1001.0777,
title = {Analytic functions of the annihilation operator},
author = {Aleksandar Petrovic},
journal= {arXiv preprint arXiv:1001.0777},
year = {2010}
}
Comments
4 pages