International Journal of applied mathematics and computer science

online read us now

Paper details

Number 3 - September 2019
Volume 29 - 2019

The phase-space approach to time evolution of quantum states in confined systems: The spectral split-operator method

Damian Kołaczek, Bartłomiej J. Spisak, Maciej Wołoszyn

Using the phase space approach, we consider the quantum dynamics of a wave packet in an isolated confined system with three different potential energy profiles. We solve the Moyal equation of motion for the Wigner function with the highly efficient spectral split-operator method. The main aim of this study is to compare the accuracy of the employed algorithm through analysis of the total energy expectation value, in terms of deviation from its exact value. This comparison is performed for the second and fourth order factorizations of the time evolution operator.

Wigner distribution function, Moyal dynamics, spectral split-operator method