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2019 | OriginalPaper | Chapter

7. Differential Geometry of Quantum States, Observables and Evolution

Authors : F. M. Ciaglia, A. Ibort, G. Marmo

Published in: Quantum Physics and Geometry

Publisher: Springer International Publishing

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Abstract

The geometrical description of Quantum Mechanics is reviewed and proposed as an alternative picture to the standard ones. The basic notions of observables, states, evolution and composition of systems are analysed from this perspective, the relevant geometrical structures and their associated algebraic properties are highlighted, and the Qubit example is thoroughly discussed.

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previous chapter Hilbert Functions and Tensor Analysis
Footnotes
1
\(\mathscr {H}_{0}\) denotes the Hilbert space \(\mathscr {H}\) with the zero vector removed.
 
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Metadata
Title
Differential Geometry of Quantum States, Observables and Evolution
Authors
F. M. Ciaglia
A. Ibort
G. Marmo
Copyright Year
2019
Book
Quantum Physics and Geometry

Print ISBN: 978-3-030-06121-0

Electronic ISBN: 978-3-030-06122-7

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-06122-7_7

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