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 sub...
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| Published in: | Condensed Matter Physics |
|---|---|
| Date: | 2017 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2017
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| 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| _version_ | 1862657278133403648 |
|---|---|
| author | Laba, H.P. Tkachuk, V.M. |
| author_facet | Laba, H.P. Tkachuk, V.M. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Condensed Matter Physics |
| description | 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.
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| first_indexed | 2025-12-02T05:42:53Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156556 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1607-324X |
| language | English |
| last_indexed | 2025-12-02T05:42:53Z |
| publishDate | 2017 |
| publisher | Інститут фізики конденсованих систем НАН України |
| record_format | dspace |
| spelling | Laba, H.P. Tkachuk, V.M. 2019-06-18T16:31:47Z 2019-06-18T16:31:47Z 2017 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. 1607-324X PACS: 03.65.-w, 03.65.Aa DOI:10.5488/CMP.20.13003 arXiv:1006.4447 https://nasplib.isofts.kiev.ua/handle/123456789/156556 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. We would like to thank Dr. Yu. Krynytskyi for constructive discussions and useful comments. We
 also thank the Members of Editorial Board for the possibility to present our results in a special issue
 of Condensed Matter Physics dedicated to Prof. Holovatch’s 60th birthday. We admire his activities in
 various fields of science and in scientific life and wish him bright ideas in future. en Інститут фізики конденсованих систем НАН України Condensed Matter Physics Geometric characteristics of quantum evolution: curvature and torsion Геометричнi характеристики квантової еволюцiї: кривизна та кручення Article published earlier |
| spellingShingle | Geometric characteristics of quantum evolution: curvature and torsion Laba, H.P. Tkachuk, V.M. |
| title | Geometric characteristics of quantum evolution: curvature and torsion |
| title_alt | Геометричнi характеристики квантової еволюцiї: кривизна та кручення |
| title_full | Geometric characteristics of quantum evolution: curvature and torsion |
| title_fullStr | Geometric characteristics of quantum evolution: curvature and torsion |
| title_full_unstemmed | Geometric characteristics of quantum evolution: curvature and torsion |
| title_short | Geometric characteristics of quantum evolution: curvature and torsion |
| title_sort | geometric characteristics of quantum evolution: curvature and torsion |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156556 |
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