Coherent and squeezed states of quantum Heisenberg algebras

TL;DR

This paper constructs new classes of deformed coherent and squeezed states from deformed quantum Heisenberg algebras, exploring their properties and parametrizations using algebra parameters and paragrassmann numbers.

Contribution

It introduces novel deformed coherent and squeezed states derived from deformed quantum Heisenberg algebras, expanding the understanding of quantum state structures.

Findings

Derived explicit algebra eigenstates for deformed algebras

Introduced parametrizations using algebra parameters and paragrassmann numbers

Analyzed properties of the new deformed states

Abstract

Starting from deformed quantum Heisenberg Lie algebras some realizations are given in terms of the usual creation and annihilation operators of the standard harmonic oscillator. Then the associated algebra eigenstates are computed and give rise to new classes of deformed coherent and squeezed states. They are parametrized by deformed algebra parameters and suitable redefinitions of them as paragrassmann numbers. Some properties of these deformed states also are analyzed.