Hybrid deformed algebra

TL;DR

This paper introduces a hybrid deformed algebra combining $p,q$-deformed and $$-deformed algebras, offering a flexible framework for exploring new statistical models with multiple parameters.

Contribution

It proposes a novel hybrid algebraic structure that integrates different deformation schemes, expanding the toolkit for deformed statistical theories.

Findings

Provides a new algebraic framework with multiple deformation parameters.

Enables exploration of richer deformed statistical scenarios.

Lays groundwork for future applications in quantum algebra and statistical mechanics.

Abstract

By considering $p,q$-deformed and $\mu$-deformed algebras we propose an association of them to form a hybrid deformed algebra. The increased number of available parameters can provide us with a richer tool to investigate new scenarios within hybrid deformed statistics.