Influence of dissipation on quantum wave dynamics in confined potential systems

Abstract

Quantum dynamics of wave packet in one-dimensional system with distributed potential and dissipation is investigated in context of Schrodinger-Langevin-Kostin equation. Quadratic potential and double well potential bounded by external impenetrable walls are represented as examples. Numerical simulations are carried out for initial Gaussian packet at different values of dissipation parameters. For the quantum oscillator with dissipation the asymptotic dynamical limit in time is established. The mean values of coordinate and velocity tend to zero but uncertainty relation tends to minimal value 0.5 (in atomic units). Oscillations and resonances at external time-dependent action were studied. Dynamical properties of system with double well potential are investigated at different frequencies of external action. Fourier spectra of mean coordinate are characterized by sharply expressed singular components.