An efficient parallel method for relaxing to the minimum action wavefunction
Computational Physics
2011-11-21 v1 Atomic Physics
Quantum Physics
Abstract
Efficient and accurate numerical propagation of the time dependent Schroedinger equation is a problem with applications across a wide range of physics. This paper develops an efficient, trivially parallelizeable method for relaxing a trial wavefunction toward a variationally optimum propagated wavefunction which minimizes the propagation error relative to a platonic wavefunction which obeys the time dependent Schroedinger equation exactly. This method is shown to be well suited for incorporation with multigrid methods, yielding rapid convergence to a minimum action solution even for Hamiltonians which are not positive definite.
Cite
@article{arxiv.1111.4363,
title = {An efficient parallel method for relaxing to the minimum action wavefunction},
author = {Zachary B. Walters},
journal= {arXiv preprint arXiv:1111.4363},
year = {2011}
}