Solving the hydrodynamic formulation of quantum mechanics: A parallel MLS method

This article documents the first implementation of a parallel algorithm for solving the governing equations of the hydrodynamic formulation of quantum mechanics. The algorithm employs a quantum trajectory method (QTM) based o n the serial algorithm introduced by Wyatt and Lopreore. The OpenMP API is employed to parallelize the code across the quantum trajectories in a share d memory environment. An outline of the parallel algorithm is provided; the analytical solution for a moving free particle is used to verify the solut ion obtained by the parallel algorithm. Further validation against several of the results obtained by Wyatt and Lopreore is also provided. The paralle l speedups and runtimes are presented, and several performance issues are n oted. Finally, the results of a preliminary accuracy study examining a movi ng free particle are provided. (C) 2001 John Wiley & Sons, Inc.