Numerical solution of the one-pair equation in the massive Schwinger model
type: Item
instance of: scholarly article
title: Numerical solution of the one-pair equation in the massive Schwinger model
zbMATH Open document ID: 0673.65097
DOI: 10.1016/0021-9991(89)90044-2
author: Yamin Ma
author: John R. Hiller
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: The massive Schwinger model for fermions is considered which leads to an infinite set of coupled integral equations. To obtain a manageable set of equations the Fock-state expansion is truncated and this paper considers the most severe truncation applied to a meson-like state which reduces the system to one equation for one fermion-anti-fermion state. Various numerical methods are considered for the solution of this equation: (1) An expansion in terms of sine functions together with a judicious choice of collocation points. (2) The application of a standard Gauss-Chebyshev quadrature formula. (3) A finite element method. The results of using these methods are compared.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45F15
Mathematics Subject Classification ID: 81T08
zbMATH DE Number: 4102459
zbMATH Keywords: series expansion
zbMATH Keywords: comparison of methods
zbMATH Keywords: massive Schwinger model for fermions
zbMATH Keywords: Fock-state expansion
zbMATH Keywords: meson-like state
zbMATH Keywords: fermion-anti-fermion state
zbMATH Keywords: collocation
zbMATH Keywords: Gauss-Chebyshev quadrature formula
zbMATH Keywords: finite element method
reviewed by: Brian L. Burrows
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90044-2
OpenAlex ID: W2040898187
cites work: Gauge Invariance and Mass. II
cites work: Forms of Relativistic Dynamics
cites work: A numerical solution of singular integrodifferential equations with variable coefficients
cites work: Q3930573
cites work: Q3331506
description: scientific article; zbMATH DE number 4102459