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Quantum Mechanics with Trajectories: Quantum Trajectories and Adaptive Grids

2003/02/11 by Robert E. Wyatt, Wyatt, Robert E., Eric R. Bittner +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0302088

Prepared for CiSE, Computing in Science and Engineering IEEE/AIP special issue on computational chemistry

arxiv created 2003/02/11 · arxiv updated 2009/12/01

Abstract

Although the foundations of the hydrodynamical formulation of quantum mechanics were laid over 50 years ago, it has only been within the past few years that viable computational implementations have been developed. One approach to solving the hydrodynamic equations uses quantum trajectories as the computational tool. The trajectory equations of motion are described and methods for implementation are discussed, including fitting of the fields to gaussian clusters.

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