Mathematica Eterna
Open Access

Abstract

Explicit building the nonlinear coherent states associated to weighted shift z p d p+1 dzp+1 of order p in classical Bargmann representation

Abdelkader Intissar

This article is devoted to build the nonlinear coherent states associated to the some specific bakward shift unbounded operators Hp = A ∗ p A p+1; p = 0, 1, ..... realized as differential operators in classical Bargmann space where A and A ∗ are the standard Bose annihilation and creation operators such that [A, A ∗ ] = I. We use the Gazeau-Klauder formalism to construct the coherent states of this operator Hp and investigate some properties of these coherent states.