Relaxation in Quantum Systems
arXiv:1802.00267 · doi:10.7546/CRABS.2019.01.08
Abstract
A new discrete model for energy relaxation of a quantum particle is described via a projection operator, causing the wave function collapse. Power laws for the evolution of the particle coordinate and momentum dispersions are derived. A new dissipative Schrodinger equation is proposed and solved for particular cases. A new dissipative Liouville equation is heuristically constructed.
The paper is dedicated to the 75th anniversary of B.V. Toshev