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| Author | Van de Put, M.L.; Sorée, B.; Magnus, W. | ||||
| Title | Efficient solution of the Wigner-Liouville equation using a spectral decomposition of the force field | Type | A1 Journal article | ||
Year  |
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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