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Geometric characteristics of quantum evolution: curvature and torsion

We study characteristics of quantum evolution which can be called curvature and torsion. The curvature shows a deviation of the state vector in quantum evolution from the geodesic line. The torsion shows a deviation of state vector from the plane of evolution (a two-dimensional subspace) at a given...

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Bibliographic Details
Published in:arXiv.org 2017-03
Main Authors: Laba, H P, Tkachuk, V M
Format: Article
Language:English
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Online Access:Get full text
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Summary:We study characteristics of quantum evolution which can be called curvature and torsion. The curvature shows a deviation of the state vector in quantum evolution from the geodesic line. The torsion shows a deviation of state vector from the plane of evolution (a two-dimensional subspace) at a given time.
ISSN:2331-8422
DOI:10.48550/arxiv.1006.4447