# On Hilbert-Schmidt operator formulation of noncommutative quantum mechanics

## TL;DR

This paper emphasizes the role of Hilbert-Schmidt operators in noncommutative quantum mechanics and applies this framework to analyze a charged particle in a magnetic field.

## Contribution

It introduces a Hilbert-Schmidt operator approach to noncommutative quantum mechanics and demonstrates its application to a charged particle in a magnetic field.

## Key findings

- Hilbert-Schmidt operators are crucial in noncommutative quantum formulations.
- The framework effectively describes a charged particle in a magnetic field.
- New insights into noncommutative quantum systems are provided.

## Abstract

This work gives value to the importance of Hilbert-Schmidt operators in the formulation of a noncommutative quantum theory. A system of charged particle in a constant magnetic field is investigated in this framework.