Volume 17, Issue 3
The Split-Operator Technique for the Study of Spinorial Wave Packet Dynamics

A. Chaves, G. A. Farias, F. M. Peeters & R. Ferreira

Commun. Comput. Phys., 17 (2015), pp. 850-866.

Published online: 2018-04

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  • Abstract

The split-operator technique for wave packet propagation in quantum systems is expanded here to the case of propagating wave functions describing Schrödinger particles, namely, charge carriers in semiconductor nanostructures within the effective mass approximation, in the presence of Zeeman effect, as well as of Rashba and Dresselhaus spin-orbit interactions. We also demonstrate that simple modifications to the expanded technique allow us to calculate the time evolution of wave packets describing Dirac particles, which are relevant for the study of transport properties in graphene.

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@Article{CiCP-17-850, author = {}, title = {The Split-Operator Technique for the Study of Spinorial Wave Packet Dynamics}, journal = {Communications in Computational Physics}, year = {2018}, volume = {17}, number = {3}, pages = {850--866}, abstract = {

The split-operator technique for wave packet propagation in quantum systems is expanded here to the case of propagating wave functions describing Schrödinger particles, namely, charge carriers in semiconductor nanostructures within the effective mass approximation, in the presence of Zeeman effect, as well as of Rashba and Dresselhaus spin-orbit interactions. We also demonstrate that simple modifications to the expanded technique allow us to calculate the time evolution of wave packets describing Dirac particles, which are relevant for the study of transport properties in graphene.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.110914.281014a}, url = {http://global-sci.org/intro/article_detail/cicp/10980.html} }
TY - JOUR T1 - The Split-Operator Technique for the Study of Spinorial Wave Packet Dynamics JO - Communications in Computational Physics VL - 3 SP - 850 EP - 866 PY - 2018 DA - 2018/04 SN - 17 DO - http://doi.org/10.4208/cicp.110914.281014a UR - https://global-sci.org/intro/article_detail/cicp/10980.html KW - AB -

The split-operator technique for wave packet propagation in quantum systems is expanded here to the case of propagating wave functions describing Schrödinger particles, namely, charge carriers in semiconductor nanostructures within the effective mass approximation, in the presence of Zeeman effect, as well as of Rashba and Dresselhaus spin-orbit interactions. We also demonstrate that simple modifications to the expanded technique allow us to calculate the time evolution of wave packets describing Dirac particles, which are relevant for the study of transport properties in graphene.

A. Chaves, G. A. Farias, F. M. Peeters & R. Ferreira. (2020). The Split-Operator Technique for the Study of Spinorial Wave Packet Dynamics. Communications in Computational Physics. 17 (3). 850-866. doi:10.4208/cicp.110914.281014a
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