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Author Sels, D.; Brosens, F.; Magnus, W.
Title Wigner distribution functions for complex dynamical systems : a path integral approach Type A1 Journal article
Year (down) 2013 Publication Physica: A : theoretical and statistical physics Abbreviated Journal Physica A
Volume 392 Issue 2 Pages 326-335
Keywords A1 Journal article; Theory of quantum systems and complex systems; Condensed Matter Theory (CMT)
Abstract Starting from Feynmans Lagrangian description of quantum mechanics, we propose a method to construct explicitly the propagator for the Wigner distribution function of a single system. For general quadratic Lagrangians, only the classical phase space trajectory is found to contribute to the propagator. Inspired by Feynmans and Vernons influence functional theory we extend the method to calculate the propagator for the reduced Wigner function of a system of interest coupled to an external system. Explicit expressions are obtained when the external system consists of a set of independent harmonic oscillators. As an example we calculate the propagator for the reduced Wigner function associated with the CaldeiraLegett model.
Address
Corporate Author Thesis
Publisher Place of Publication Amsterdam Editor
Language Wos 000311135200004 Publication Date 2012-09-14
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0378-4371; ISBN Additional Links UA library record; WoS full record; WoS citing articles
Impact Factor 2.243 Times cited 9 Open Access
Notes ; ; Approved Most recent IF: 2.243; 2013 IF: 1.722
Call Number UA @ lucian @ c:irua:101414 Serial 3921
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Author Sels, D.; Brosens, F.; Magnus, W.
Title On the path integral representation of the Wigner function and the BarkerMurray ansatz Type A1 Journal article
Year (down) 2012 Publication Physics letters : A Abbreviated Journal Phys Lett A
Volume 376 Issue 6/7 Pages 809-812
Keywords A1 Journal article; Theory of quantum systems and complex systems; Condensed Matter Theory (CMT)
Abstract The propagator of the Wigner function is constructed from the WignerLiouville equation as a phase space path integral over a new effective Lagrangian. In contrast to a paper by Barker and Murray (1983) [1], we show that the path integral can in general not be written as a linear superposition of classical phase space trajectories over a family of non-local forces. Instead, we adopt a saddle point expansion to show that the semiclassical Wigner function is a linear superposition of classical solutions for a different set of non-local time dependent forces. As shown by a simple example the specific form of the path integral makes the formulation ideal for Monte Carlo simulation.
Address
Corporate Author Thesis
Publisher Place of Publication Amsterdam Editor
Language Wos 000301167300005 Publication Date 2012-01-17
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0375-9601; ISBN Additional Links UA library record; WoS full record; WoS citing articles
Impact Factor 1.772 Times cited 7 Open Access
Notes ; ; Approved Most recent IF: 1.772; 2012 IF: 1.766
Call Number UA @ lucian @ c:irua:94006 Serial 2445
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Author Sels, D.; Brosens, F.; Magnus, W.
Title Classical trajectories : a powerful tool for solving tunneling problems Type A1 Journal article
Year (down) 2012 Publication Physica: A : theoretical and statistical physics Abbreviated Journal Physica A
Volume 391 Issue 1/2 Pages 78-81
Keywords A1 Journal article; Theory of quantum systems and complex systems; Condensed Matter Theory (CMT)
Abstract In the realm of Ehrenfests theorem, classical trajectories obeying Newtons laws have been proven useful to construct explicit solutions to the time-dependent WignerLiouville equation. Whereas previous works have particularly focused on the initial distribution function as a vehicle found to carry the signatures of quantum statistics into the time-dependent solution, the present paper shows that the LagrangeCharpit method based on classical trajectories can be successfully invoked as well to tackle quantum mechanical features with no classical counterpart, such as tunneling.
Address
Corporate Author Thesis
Publisher Place of Publication Amsterdam Editor
Language Wos 000297230700010 Publication Date 2011-08-25
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0378-4371; ISBN Additional Links UA library record; WoS full record; WoS citing articles
Impact Factor 2.243 Times cited 7 Open Access
Notes ; ; Approved Most recent IF: 2.243; 2012 IF: 1.676
Call Number UA @ lucian @ c:irua:92359 Serial 370
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Author Sels, D.; Sorée, B.; Groeseneken, G.
Title Quantum ballistic transport in the junctionless nanowire pinch-off field effect transistor Type A1 Journal article
Year (down) 2011 Publication Journal of computational electronics Abbreviated Journal J Comput Electron
Volume 10 Issue 1 Pages 216-221
Keywords A1 Journal article; Theory of quantum systems and complex systems; Condensed Matter Theory (CMT)
Abstract In this work we investigate quantum ballistic transport in ultrasmall junctionless and inversion mode semiconducting nanowire transistors within the framework of the self-consistent Schrödinger-Poisson problem. The quantum transmitting boundary method is used to generate open boundary conditions between the active region and the electron reservoirs. We adopt a subband decomposition approach to make the problem numerically tractable and make a comparison of four different numerical approaches to solve the self-consistent Schrödinger-Poisson problem. Finally we discuss the IV-characteristics for small (r≤5 nm) GaAs nanowire transistors. The novel junctionless pinch-off FET or junctionless nanowire transistor is extensively compared with the gate-all-around (GAA) nanowire MOSFET.
Address
Corporate Author Thesis
Publisher Place of Publication S.l. Editor
Language Wos 000300735800021 Publication Date 2011-02-22
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1569-8025;1572-8137; ISBN Additional Links UA library record; WoS full record; WoS citing articles
Impact Factor 1.526 Times cited 12 Open Access
Notes ; ; Approved Most recent IF: 1.526; 2011 IF: 1.211
Call Number UA @ lucian @ c:irua:89501 Serial 2772
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Author Sorée, B.; Pham, A.-T.; Sels, D.; Magnus, W.
Title The junctionless nanowire transistor Type H3 Book chapter
Year (down) 2011 Publication Abbreviated Journal
Volume Issue Pages ?
Keywords H3 Book chapter; Theory of quantum systems and complex systems; Condensed Matter Theory (CMT)
Abstract
Address
Corporate Author Thesis
Publisher Pan Stanford Place of Publication S.l. Editor
Language Wos Publication Date 0000-00-00
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN ISBN 9789814364027 Additional Links UA library record
Impact Factor Times cited Open Access
Notes Approved Most recent IF: NA
Call Number UA @ lucian @ c:irua:93074 Serial 1754
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Author Sels, D.; Sorée, B.; Groeseneken, G.
Title 2-D rotational invariant multi sub band Schrödinger-Poisson solver to model nanowire transistors Type A1 Journal article
Year (down) 2010 Publication Abbreviated Journal
Volume Issue Pages 85-88
Keywords A1 Journal article; Electron Microscopy for Materials Science (EMAT);
Abstract
Address
Corporate Author Thesis
Publisher Pisa University Press Place of Publication Pisa Editor
Language Wos Publication Date 0000-00-00
Series Editor Series Title Abbreviated Series Title 14th International Workshop on Computational Electronics
Series Volume Series Issue Edition
ISSN 978-1-4244-9381-4 ISBN Additional Links UA library record
Impact Factor Times cited Open Access
Notes Approved Most recent IF: NA
Call Number UA @ lucian @ c:irua:91699 Serial 6
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