Para-Bose coherent states

Abstract

In place of the usual commutation relation [â,â^†]=1 we consider the generalized commutation relation characteristic of the para-Bose oscillators, viz, [â, H^]=H^ where H^ is the Hamiltonian (½)(ââ^†+â^†â). The number states and the representation of various operators in the basis formed by these states are obtained. We then introduce the para-Bose coherent states defined as the eigenstates of â for this generalized case. We consider some of the properties of these coherent states and also show that the uncertainty product < (Δq)²> < (Δp)²> in this case could be made arbitrarily small.