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
  H.P. Laba (Department of Applied Physics and Nanomaterials Science, Lviv Polytechnic National University, 5 Ustiyanovych St., 79013 Lviv, Ukraine) ,
  V.M. Tkachuk (Department for Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov St., 79005 Lviv, Ukraine)

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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