q-def oscillator associated with Calogero model and its q-coherent state

TL;DR

This paper introduces a q-deformed oscillator linked to the Calogero model and constructs its coherent state, demonstrating the resolution of unity for this new quantum system.

Contribution

It presents a novel q-deformed oscillator associated with the Calogero model and constructs its coherent state with a resolution of unity.

Findings

Successful construction of q-deformed coherent state

Demonstration of resolution of unity for the coherent state

Establishment of a new q-deformed oscillator linked to Calogero model

Abstract

We present the q-deformed ^M para-bose oscillators associated with (two-body) Calogero model.^M q-deformed coherent state is also constructed and its resolution of unity ^M is demonstrated.