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Quantum Physics

Title: On non-commutativity in quantum theory (III): determinantal point processes and non-relativistic quantum mechanics

Abstract: This article concludes our critical analysis on the role of non-commutativity in quantum theory. After a brief introduction of the necessary notions on point processes, we re-analyse model B proposed in "On non-commutativity in quantum theory (II): toy models for non-commutative kinematics", using the point process theory. This viewpoint allows to generalize and modify the space process of model B in a simple manner, obtaining a new model (model C). This new model allows the recovery of non-relativistic quantum mechanics in a suitable limit.
Comments: 23 pages, 1 figure
Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph)
Cite as: arXiv:1803.04921 [quant-ph]
  (or arXiv:1803.04921v2 [quant-ph] for this version)

Submission history

From: Luca Curcuraci [view email]
[v1] Tue, 13 Mar 2018 16:27:21 GMT (172kb,D)
[v2] Fri, 16 Mar 2018 20:40:37 GMT (172kb,D)