Geometric characteristics of quantum evolution: curvature and torsion

Abstract

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.

Keywords

• curvature
• torsion
• quantum evolution
• geometry of quantum state space