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Geometry and Structure of Quantum Phase Space
Stockholm University, Faculty of Science, Department of Physics.
Number of Authors: 1
2015 (English)In: Foundations of physics, ISSN 0015-9018, E-ISSN 1572-9516, Vol. 45, no 7, 851-857 p.Article in journal (Refereed) Published
Abstract [en]

The application of geometry to physics has provided us with new insightful information about many physical theories such as classical mechanics, general relativity, and quantum geometry (quantum gravity). The geometry also plays an important role in foundations of quantum mechanics and quantum information. In this work we discuss a geometric framework for mixed quantum states represented by density matrices, where the quantum phase space of density matrices is equipped with a symplectic structure, an almost complex structure, and a compatible Riemannian metric. This compatible triple allow us to investigate arbitrary quantum systems. We will also discuss some applications of the geometric framework.

Place, publisher, year, edition, pages
2015. Vol. 45, no 7, 851-857 p.
Keyword [en]
Quantum mixed states, Density operators, Quantum phase space, Uncertainty relation, Geometry
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-119145DOI: 10.1007/s10701-015-9907-4ISI: 000356263600013OAI: oai:DiVA.org:su-119145DiVA: diva2:843750
Available from: 2015-07-31 Created: 2015-07-29 Last updated: 2017-12-04Bibliographically approved

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