Titelaufnahme

Titel
A general spectral method for the numerical simulation of one-dimensional interacting fermions
Verfasser/ VerfasserinClason, Christian ; von Winckel, Gregory
Erschienen in
Computer Physics Communications, Amsterdam, 2012, Jg. 183, H. 2, S. 405-417
ErschienenElsevier
Ausgabe
Preprint
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)Schrödinger equation / Fermions / Numerical solution / Spectral method
URNurn:nbn:at:at-ubg:3-692 Persistent Identifier (URN)
DOIdoi:10.1016/j.cpc.2011.10.005 
Zugriffsbeschränkung
 Das Werk ist frei verfügbar
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A general spectral method for the numerical simulation of one-dimensional interacting fermions [0.64 mb]
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Zusammenfassung (Englisch)

This work introduces a general framework for the direct numerical simulation of systems of interacting fermions in one spatial dimension. The approach is based on a specially adapted nodal spectral Galerkin method, where the basis functions are constructed to obey the antisymmetry relations of fermionic wave functions. An efficient Matlab program for the assembly of the stiffness and potential matrices is presented, which exploits the combinatorial structure of the sparsity pattern arising from this discretization to achieve optimal run-time complexity. This program allows the accurate discretization of systems with multiple fermions subject to arbitrary potentials, e.g., for verifying the accuracy of multi-particle approximations such as HartreeFock in the few-particle limit. It can be used for eigenvalue computations or numerical solutions of the time-dependent Schrödinger equation.

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