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Relaxation in Quantum Systems

Roumen Tsekov

2019

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.

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