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 give...

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Bibliographic Details
Published in:Condensed Matter Physics
Date:2017
Main Authors: Laba, H.P., Tkachuk, V.M.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2017
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/156556
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Geometric characteristics of quantum evolution: curvature and torsion / H.P. Laba, V.M. Tkachuk // Condensed Matter Physics. — 2017. — Т. 20, № 1. — С. 13003: 1–7. — Бібліогр.: 19 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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. Ми вивчаємо характеристики квантової еволюцiї, такi як кривизна та кручення. Кривизна показує вiдхилення вектора стану пiд час квантової еволюцiї вiд геодезичної лiнiї. Кручення визначає вiдхилення вектора стану вiд площини еволюцiї (двовимiрний пiдпростiр) в заданий момент часу.
ISSN:1607-324X