Study of Quommutators of Quantum Variables and Generalized Derivatives

TL;DR

This paper introduces a generalized deformation of the Heisenberg algebra involving multiple variables and operators, enabling the coexistence of coherent states and the transposition of creation operators.

Contribution

It extends the Heisenberg algebra deformation to multiple variables with two operators, allowing new quantum state manipulations.

Findings

Generalized algebra with multiple deformed operators

Existence of coherent states in the deformed framework

Transposition of creation operators in the new algebra

Abstract

A general deformation of the Heisenberg algebra is introduced with two deformed operators instead of just one. This is generalised to many variables, and permits the simultaneous existence of coherent states, and the transposition of creation operators.