<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

The Phase–Space Approach to time Evolution of Quantum States in Confined Systems: the Spectral Split–Operator Method

Faculty of Physics and Applied Computer Science

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Using the phase space approach, we consider the quantum dynamics of a wave packet in an isolated confined system with three different potential energy...

The Phase–Space Approach to time Evolution of Quantum States in Confined Systems: the Spectral Split–Operator Method

Published Online: Sep 28, 2019

Page range: 439 - 451

Received: Oct 15, 2018

Accepted: Mar 18, 2019

DOI: https://doi.org/10.2478/amcs-2019-0032

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

© 2019 Damian Kołaczek et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The Phase–Space Approach to time Evolution of Quantum States in Confined Systems: the Spectral Split–Operator Method

Published Online: Sep 28, 2019

Page range: 439 - 451

Received: Oct 15, 2018

Accepted: Mar 18, 2019

DOI: https://doi.org/10.2478/amcs-2019-0032

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

© 2019 Damian Kołaczek et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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