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Title: Bohmian trajectory from the “classical” Schrödinger equation

The quantum-classical correspondence is studied for a periodically driven quartic oscillator exhibiting integrable and chaotic dynamics, by studying the Bohmian trajectory of the corresponding “classical” Schrödinger equation. Phase plots and the Kolmogorov-Sinai entropy are computed and compared with the classical trajectory as well as the Bohmian trajectory obtained from the time dependent Schrödinger equation. Bohmian mechanics at the classical limit appears to mimick the behavior of a dissipative dynamical system.
Authors:
 [1] ; ;  [2]
  1. Department of Physics, Veer Surendra Sai University of Technology, Burla 768018 (India)
  2. Department of Chemistry and Center for Theoretical Studies, Indian Institute of Technology, Kharagpur 721302 (India)
Publication Date:
OSTI Identifier:
22402511
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 24; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; BOHM CRITERION; CHAOS THEORY; ENTROPY; INTEGRAL CALCULUS; KINETICS; OSCILLATORS; SCHROEDINGER EQUATION; SEMICLASSICAL APPROXIMATION; TIME DEPENDENCE