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    <id>372</id>
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    <language>eng</language>
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    <completedDate>1998-11-03</completedDate>
    <publishedDate>1998-11-03</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Faber and Newton Polynomial Integrators for Open-System Density Matrix Propagation</title>
    <abstract language="eng">Two polynomial expansions of the time-evolution superoperator to directly integrate Markovian Liouville-von Neumann (LvN) equations for quantum open systems, namely the Newton interpolation and the Faber approximation, are presented and critically compared. Details on the numerical implementation including error control, and on the performance of either method are given. In a first physical application, a damped harmonic oscillator is considered. Then, the Faber approximation is applied to compute a condensed phase absorption spectrum, for which a semi--analytical expression is derived. Finally, even more general applications are discussed. In all applications considered here it is found that both the Newton and Faber integrators are fast, general, stable, and accurate.</abstract>
    <identifier type="serial">SC-98-29</identifier>
    <identifier type="opus3-id">373</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-3725</identifier>
    <enrichment key="SourceTitle">Appeared in: J. Chem. Phys. 110 (1999) 12</enrichment>
    <author>Wilhelm Huisinga</author>
    <author>Lorenzo Pesce</author>
    <author>Ronnie Kosloff</author>
    <author>Peter Saalfrank</author>
    <series>
      <title>ZIB-Report</title>
      <number>SC-98-29</number>
    </series>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="65E05">Numerical methods in complex analysis (potential theory, etc.) For numerical methods in conformal mapping, see *also* 30C30</collection>
    <collection role="msc" number="65L05">Initial value problems</collection>
    <collection role="msc" number="81Q05">Closed and approximate solutions to the Schrödinger, Dirac, Klein- Gordon and other equations of quantum mechanics</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/372/SC-98-29.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/372/SC-98-29.pdf</file>
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