Contributions to Books:

T. S. Gutleb, N. Mauser, M. Ruggeri, H. P. Stimming:
"A time splitting method for the three-dimensional linear Pauli equation";
in: "ASC Report 15/2020", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2020, ISBN: 978-3-902627-13-1, 1 - 21.

English abstract:
We present and analyze a numerical method to solve the time-dependent linear Pauli equation in three space-dimensions. The Pauli equation is a semi-relativistic generalization of the Schrödinger equation for
2-spinors which accounts both for magnetic fields and for spin, the latter missing in predeeding work on the linear magnetic Schrödinger equation. We use a four operator splitting in time, prove stability and convergence of the method and derive error estimates as well as meshing strategies for the case of given time-independent electromagnetic potentials (= linear case), thus providing a generalization of previous results for the magnetic Schrödinger equation. Some proof of concept examples of numerical simulations are

Pauli equation, operator splitting, time splitting, magnetic Schrödinger equation, semi-relativistic quantum mechanics

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.