Ein exakt lösbares Modell zur zeitlichen Entwicklung quantenmechanischer Vielteilchensysteme mit Wechselwirkung

Abstract

A model of a quantum mechanical system with an extremely simplified energy spectrum of the unperturbed Hamiltonian and a separable residual interaction, which can be solved exactly and in closed analytical form, is analyzed with respect to its variation in time. The influence of the initial condition, of the strength and range of the residual interaction and of the level spacing of the unperturbed system is investigated. Special interest is dedicated to the question, under which conditions and to which extent the model approaches a stationary equilibrium state.