Magnetic fields in noncommutative quantum mechanics
Francois Delduc, Quentin Duret, Francois Gieres, Matthieu, Lefrancois
TL;DR
This paper reviews different approaches to describing a quantum particle in noncommutative space under magnetic fields, clarifying their relationships and presenting a unified overview of the field.
Contribution
It provides a comprehensive and unified presentation of various descriptions of quantum particles in noncommutative spaces with magnetic fields, clarifying their interconnections.
Findings
Clarified relationships between different approaches
Unified presentation of noncommutative quantum mechanics with magnetic fields
Synthesized scattered results in the literature
Abstract
We discuss various descriptions of a quantum particle on noncommutative space in a (possibly non-constant) magnetic field. We have tried to present the basic facts in a unified and synthetic manner, and to clarify the relationship between various approaches and results that are scattered in the literature.
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