Quarterly of Applied Mathematics

Author(s): Claude Bardos; Norbert J. Mauser
Journal: Quart. Appl. Math.
MSC (2000): Primary 35Q40, 35Q55
Posted: October 19, 2009
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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

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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Retrieve articles in Quarterly of Applied Mathematics with MSC (2000): 35Q40, 35Q55

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

PII: S0033-569X-09-01181-7
Keywords: $N$-particle Schr\"{o}dinger equation, Hartree-Fock, multiconfiguration
Received by editor(s): December 31, 2008
Posted: 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
Copyright of article: Copyright 2009, Brown University

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