Geometric characteristics of quantum evolution: curvature and torsion

H. P. Laba, V. M. Tkachuk

Published 2010-06-23, updated 2017-01-20Version 2

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.