Non-commutative Supersymmetric Quantum Mechanics
Ashok Das, H. Falomir, J. Gamboa, F. Mendez

TL;DR
This paper constructs and analyzes non-commutative supersymmetric quantum mechanics models in two and three dimensions, exploring their structure and potential applications in systems with spin and non-local interactions.
Contribution
It introduces new non-commutative supersymmetric quantum mechanics models and provides explicit examples in two and three dimensions, highlighting their potential physical applications.
Findings
Constructed non-commutative supersymmetric models in 2D and 3D
Provided explicit examples of these models
Suggested applications in systems with spin and non-local interactions
Abstract
General non-commutative supersymmetric quantum mechanics models in two and three dimensions are constructed and some two and three dimensional examples are explicitly studied. The structure of the theory studied suggest other possible applications in physical systems with potentials involving spin and non-local interactions.
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