Quantum dissipative dynamics using the Doebner–Goldin equation

Abstract

The Doebner–Goldin equation developed for describing the quantum dissipative dynamics of one-particle system is extended to be applicable to many-body system. Practical formula for non-interacting system is also provided both for the continuum space framework and for the tight-binding framework. We show simple numerical demonstrations on the wavepacket dynamics both under a harmonic potential and a saw-like potential.