Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



One particle equations for many particle quantum systems: The MCTHDF method

Authors: Claude Bardos and Norbert J. Mauser
Journal: Quart. Appl. Math. 68 (2010), 43-59
MSC (2000): Primary 35Q40, 35Q55
DOI: https://doi.org/10.1090/S0033-569X-09-01181-7
Published electronically: October 19, 2009
MathSciNet review: 2598879
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Abstract: This contribution is devoted to the mathematical analysis of more or less sophisticated approximations of the time evolution of systems of $ N$ quantum particles. New results for the Multiconfiguration Time Dependent Hartree-Fock (MCTDHF) method (which cover the material of the talk given by the first author at the ``Nonlinear waves conference in honor of Walter Strauss'') are summarized and compared with the simpler Hartree and Hartree-Fock equations.

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Claude Bardos
Affiliation: Laboratoire J.-L. Lions, Case 187, F75252 Paris Cedex 05 and Wolfgang Pauli Inst. c/o Inst. f. Mathematik, Univ. Wien, Nordbergstr. 15, A–1090 Wien
Email: claude.bardos@gmail.com

Norbert J. Mauser
Affiliation: Wolfgang Pauli Inst. c/o Inst. f. Mathematik, Univ. Wien, Nordbergstr. 15, A–1090 Wien
Email: mauser@courant.nyu.edu

DOI: https://doi.org/10.1090/S0033-569X-09-01181-7
Keywords: $N$-particle Schr\"{o}dinger equation, Hartree-Fock, multiconfiguration
Received by editor(s): December 31, 2008
Published electronically: October 19, 2009
Dedicated: This contribution is dedicated to Walter Strauss on the occasion of his 70th birthday, as a token of friendship, admiration and gratitude
Article copyright: © Copyright 2009 Brown University

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