10.17632/6yhk8sjkyf.1
Christian Clason
Gregory von Winckel
A general spectral method for the numerical simulation of one-dimensional interacting fermions
2019
Mirror of Mendeley Data
Atomic Physics
Computational Physics
Computational Method
2019-12-06 07:35:27
article
https://mendeley.figshare.com/articles/dataset/A_general_spectral_method_for_the_numerical_simulation_of_one-dimensional_interacting_fermions/11333093
Abstract
This software implements 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 arisin...
Title of program: assembleFermiMatrix
Catalogue Id: AEKO_v1_1
Nature of problem
The direct numerical solution of the multi-particle one-dimensional SchrÃ¶dinger 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)