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arXiv · 1111.4363

An efficient parallel method for relaxing to the minimum action wavefunction

Zachary B. Walters
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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.

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Zachary B. Walters. 2011-11-18. An efficient parallel method for relaxing to the minimum action wavefunction. https://arxiv.org/abs/1111.4363

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