Perturbation Theory for the Quantum Time-Evolution in Rotating Potentials

2002/05/22 by Volker Enss, Vadim Kostrykin, Robert Schrader
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:47A55 #msc:47B25 #msc:81Q15

paper · pdf

published as Contemporary Mathematics Vol. 307, 2002, p. 113 - 127 · To appear in Proceedings of the Conference QMath-8 "Mathematical Results in Quantum Mechanics" Taxco, Mexico, December 2001

arxiv created 2002/05/22 · arxiv updated 2009/11/30

Abstract

The quantum mechanical time-evolution is studied for a particle under the influence of an explicitly time-dependent rotating potential. We discuss the existence of the propagator and we show that in the limit of rapid rotation it converges strongly to the solution operator of the Schrödinger equation with the averaged rotational invariant potential.

Related

• Rotating Singular Perturbations of the Laplacian
• A perturbative expansion of the evolution operator associated with time-dependent quantum Hamiltonians
• Energy Transfer in Scattering by Rotating Potentials
• The Schroedinger equation as the time evolution of a deterministic and reversible process
• Time-dependent Perturbation Theory in Quantum Mechanics