Condensed Matter Physics, 2017, vol. 20, No. 1, 13003
DOI:10.5488/CMP.20.13003
arXiv:1006.4447
Title:
Geometric characteristics of quantum evolution: curvature and torsion
Author(s):
 
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H.P. Laba
(Department of Applied Physics and Nanomaterials Science, Lviv Polytechnic National University, 5 Ustiyanovych St., 79013 Lviv, Ukraine)
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V.M. Tkachuk
(Department for Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov St., 79005 Lviv, Ukraine)
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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.
Key words:
curvature, torsion, quantum evolution, geometry of quantum state space
PACS:
03.65.-w, 03.65.Aa
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