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Transient effect of a free particle wave packet in the hydrodynamic formulation of the time‐dependent Schrödinger equation
Author(s) -
Vadapalli Ravi K.,
Weatherford Charles A.,
Banicescu Ioana,
Cariño Ricolindo L.,
Zhu Jianping
Publication year - 2003
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.10571
Subject(s) - initialization , formalism (music) , instanton , quantum , wave packet , physics , statistical physics , classical mechanics , quantum mechanics , computer science , art , musical , visual arts , programming language
This article scrutinizes anomalies in accuracy studies by Brook et al. Int J Quantum Chem 2001, 85, 263–271 for a moving free particle. These studies were carried out in the framework of the quantum trajectory method developed from Bohm's hydrodynamic formalism. These accuracy studies exhibited a strange behavior of the relative error in the probability density that apparently contradicts the quantum fluid dynamic formalism. It is found that improper initialization of the pseudoparticle velocities is responsible for the observed anomalies. This article presents a method for appropriate initialization of the pseudoparticle velocities. It also evaluates the accuracy of this method by reinvestigating accuracy studies by Brook et al. for a moving free particle. © 2003 Wiley Periodicals, Inc. Int J Quantum Chem 94: 1–6, 2003