Contact Quantization: Quantum Mechanics = Parallel transport-Reference-Cited by-同舟云学术

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Contact Quantization: Quantum Mechanics = Parallel transport

Published:2018 Issue:5 Volume: Page:281-298
ISSN:0044-8753
Container-title:Archivum Mathematicum
language:en
Short-container-title:Arch. Math. (Brno)

Author:

Herczeg G.,Latini E.,Waldron Andrew

Publisher

Masaryk University Press

Subject

General Mathematics

Link

https://dml.cz/bitstream/handle/10338.dmlcz/147505/ArchMathRetro_054-2018-5_4.pdf

Reference24 articles.

1. Albrecht, A., Iglesias, A.: The clock ambiguity and the emergence of physical laws. Phys. Rev. D 77 (2008), 063506; arXiv:0708.2743 [hep-th]; S. B. Gryb, Jacobi's Principle and the Disappearance of Time Phys. Rev. D 81 (2010), 044035, arXiv:0804.2900 [gr-qc]; S. B. Gryb and K. Thebault, The role of time in relational quantum theories Found. Phys. 42 (2012),1210–1238 arXiv:1110.2429 [gr-qc]. DOI 10.1103/PhysRevD.77.063506

2. Batalin, I., Fradkin, E., Fradkina, T.: Another version for operatorial quantization of dynamical systems with irreducible constraints. Nuclear Phys. B 314 (1989), 158–174, I.A. Batalin and I.V. Tyutin, Existence theorem for the effective gauge algebra in the generalized canonical formalism with abelian conversion of second-class constraints, Internat. J. Modern Phys. A 6 (1991), 3255–3282. MR 0984074

3. Bayen, F., Flato, M., Fronsdal, C., Lichnerowicz, A., Sternheimer, D.: Quantum Mechanics as a deformation of classical mechanics. Lett. Math. Phys. 1 (1977), 521–530. DOI 10.1007/BF00399745

4. Bieliavsky, P., Cahen, M., Gutt, S., Rawnsley, J., Schwachhöfer, L.: Symplectic connection. Int. J. Geom. Methods Mod. Phys. 3 (2006), 375–426, arXiv:math/0511194. DOI 10.1142/S021988780600117X

5. Bruce, A.J.: Contact structures and supersymmetric mechanics. arXiv:1108.5291 [math-ph].

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1. Quantum Darboux theorem;Physical Review D;2021-05-25

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