arXiv subjects

Aleksandar Petrovic

Publications and source records attributed to Aleksandar Petrovic.

2 recordsLinked to original sources

arXiv2010

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' is given. f(z) is analytic on some compact domain that does not separate the complex plane. Using these results we obtain ln a. Since [N ,-i ln a]=i, we can use ln a to construct an operator $Φ$, which satisfies the definition of the phase operator.

math-ph↗

arXiv2010

Analytic functions of the annihilation operator

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.

math-ph↗