A general spectral method for the numerical simulation of one-dimensional interacting fermions

Published: 01-01-2012| Version 1 | DOI: 10.17632/7b9nb9vs8x.1
Christian Clason,
Gregory von Winckel


Abstract 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 fr... Title of program: assembleFermiMatrix Catalogue Id: AEKO_v1_0 Nature of problem The direct numerical solution of the multi-particle one-dimensional Schrödinger equation in a quantum well is challenging due to the exponential growth in the number of degrees of freedom with increasing particles. Versions of this program held in the CPC repository in Mendeley Data AEKO_v1_0; assembleFermiMatrix; 10.1016/j.cpc.2011.10.005 AEKO_v1_1; assembleFermiMatrix; 10.1016/j.cpc.2012.03.015 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)