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Author Van de Put, M.L.; Sorée, B.; Magnus, W. pdf  doi
openurl 
  Title Efficient solution of the Wigner-Liouville equation using a spectral decomposition of the force field Type A1 Journal article
  Year (down) 2017 Publication Journal of computational physics Abbreviated Journal J Comput Phys  
  Volume 350 Issue Pages 314-325  
  Keywords A1 Journal article; Condensed Matter Theory (CMT)  
  Abstract The Wigner-Liouville equation is reformulated using a spectral decomposition of the classical force field instead of the potential energy. The latter is shown to simplify the Wigner-Liouville kernel both conceptually and numerically as the spectral force Wigner-Liouville equation avoids the numerical evaluation of the highly oscillatory Wigner kernel which is nonlocal in both position and momentum. The quantum mechanical evolution is instead governed by a term local in space and non-local in momentum, where the non locality in momentum has only a limited range. An interpretation of the time evolution in terms of two processes is presented; a classical evolution under the influence of the averaged driving field, and a probability-preserving quantum-mechanical generation and annihilation term. Using the inherent stability and reduced complexity, a direct deterministic numerical implementation using Chebyshev and Fourier pseudo-spectral methods is detailed. For the purpose of illustration, we present results for the time evolution of a one-dimensional resonant tunneling diode driven out of equilibrium. (C) 2017 Elsevier Inc. All rights reserved.  
  Address  
  Corporate Author Thesis  
  Publisher Place of Publication New York Editor  
  Language Wos 000413379000016 Publication Date 2017-09-02  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0021-9991 ISBN Additional Links UA library record; WoS full record; WoS citing articles  
  Impact Factor 2.744 Times cited 5 Open Access  
  Notes ; ; Approved Most recent IF: 2.744  
  Call Number UA @ lucian @ c:irua:146630 Serial 4780  
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