Minimalisation of uncertainty relations in noncommutative quantum mechanics

TL;DR

This paper constructs states that saturate uncertainty relations in noncommutative quantum mechanics, providing explicit methods in both Fock space and coordinate representation.

Contribution

It offers explicit constructions of states saturating uncertainty relations in NCQM, advancing understanding of state minimalization in noncommutative settings.

Findings

States saturating uncertainty relations are explicitly constructed.

Methods are provided in both Fock space and coordinate representation.

The work enhances the theoretical framework of NCQM.

Abstract

The explicit constrtuction of states saturating uncertainty relations following from basic commutation rules of NCQM is given both in Fock space and coordinate representation