Quantum mechanics of many particles defined on twisted N-enlarged Newton-Hooke space-times
Marcin Daszkiewicz
TL;DR
This paper develops the quantum mechanics framework for multiple particles in a twisted N-enlarged Newton-Hooke space-time, analyzing a Coulomb system with interacting particles in this noncommutative setting.
Contribution
It introduces the quantum mechanics of many particles in twisted N-enlarged Newton-Hooke space-times, a novel noncommutative geometric framework.
Findings
Formulation of quantum mechanics in twisted N-enlarged Newton-Hooke space-time
Analysis of Coulomb interactions among particles in this noncommutative setting
Potential implications for understanding quantum systems in noncommutative geometries
Abstract
We provide the quantum mechanics of many particles moving in twisted N-enlarged Newton-Hooke space-time. In particular, we consider the example of such noncommutative system - the set of M particles moving in Coulomb field of external point-like source and interacting each other also by Coulomb potential.
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