Phase spaces of twisted Lie-algebraically deformed relativistic and nonrelativistic symmetries

TL;DR

This paper constructs phase spaces for twisted Lie-algebraically deformed relativistic and nonrelativistic symmetries using the Heisenberg double procedure and discusses their uncertainty principles.

Contribution

It introduces a method to build deformed phase spaces for symmetries and analyzes their quantum uncertainty relations.

Findings

Deformed phase spaces are explicitly constructed.

Heisenberg uncertainty principles are derived for these spaces.

The approach links algebraic deformations with physical phase space structures.

Abstract

The twisted Lie-algebraically deformed relativistic and nonrelativistic phase spaces are constructed with the use of Heisenberg double procedure. The corresponding Heisenberg uncertainty principles are discussed as well.