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Contact Geometry and Quantum Mechanics
- Source :
- Physics Letters B, Volume 781, p. 312-315, 2018
- Publication Year :
- 2017
-
Abstract
- We present a generally covariant approach to quantum mechanics in which generalized positions, momenta and time variables are treated as coordinates on a fundamental "phase-spacetime." We show that this covariant starting point makes quantization into a purely geometric flatness condition. This makes quantum mechanics purely geometric, and possibly even topological. Our approach is especially useful for time-dependent problems and systems subject to ambiguities in choices of clock or observer. As a byproduct, we give a derivation and generalization of the Wigner functions of standard quantum mechanics.<br />Comment: 7 pages, 1 figure, LaTeX, references added, journal version
Details
- Database :
- arXiv
- Journal :
- Physics Letters B, Volume 781, p. 312-315, 2018
- Publication Type :
- Report
- Accession number :
- edsarx.1709.04557
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.physletb.2018.04.008