An efficient parallel method for relaxing to the minimum action wavefunction

Details An efficient parallel method for relaxing to the minimum action wavefunction An efficient parallel method for relaxing to the minimum action wavefunction

2011-11-18

arxiv.org/abs/1111.4363v1

Physics

Computational Physics

Scientific paper

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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