Generalized Heisenberg algebra coherent states for Power-law potentials

TL;DR

This paper constructs coherent states for power-law potentials using generalized Heisenberg algebras, satisfying Klauder's conditions, and explores their statistical properties, demonstrating their relevance for laser physics.

Contribution

It introduces a new class of coherent states for power-law potentials based on generalized Heisenberg algebras, fulfilling Klauder's criteria.

Findings

Coherent states satisfy Klauder's minimal conditions.

Statistical analysis via Mandel's parameter shows non-classical properties.

States are applicable to modeling real and ideal lasers.

Abstract

Coherent states for power-law potentials are constructed using generalized Heisenberg algabras. Klauder's minimal set of conditions required to obtain coherent states are satisfied. The statistical properties of these states are investigated through the evaluation of the Mandel's parameter. It is shown that these coherent states are useful for describing the states of real and ideal lasers.