Email this article Phase space curvature
- Authors: Ivanov M.G.1
-
Affiliations:
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 17, No 1 (2013)
- Pages: 361-368
- Section: Articles
- URL: https://ogarev-online.ru/1991-8615/article/view/34724
- DOI: https://doi.org/10.14498/vsgtu1198
- ID: 34724
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Abstract
Electromagnetic field in classical and quantum mechanics is naturally representedby geometry of extended phase space, with extra coordinates of time and canonically conjugate momentum$p_0=-E$.
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##article.viewOnOriginalSite##About the authors
Mikhail Gennadievich Ivanov
Moscow Institute of Physics and Technology (State University)
Email: ivanov.mg@mipt.ru
Candidate of physico-mathematical sciences, Associate professor
References
- H. Weyl, The Theory of Groups and Quantum Mechanics, Dover, New York, 1931, 444 pp.
- Л. Д. Фаддеев, О. А. Якубовский, Лекции по квантовой механике для студентов-математиков, РХД, М., Ижевск, 2001, 256 с.
- J. Bellissard, "Noncommutative Geometry of Aperiodic Solids", Geometric and Topological Methods for Quantum Field Theory (Villa de Leyva, 2001), World Sci. Publishing, River Edge, NJ, 2003, 86-156
- J. M. Isidro, M. A. de Gosson, "A gauge theory of quantum mechanics", Mod. Phys. Lett. A., 22:3 (2007), 191-200
- М. Г. Иванов, Как понимать квантовую механику, РХД, М., Ижевск, 2012, 516 с.
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