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Title: Lagrange mesh, relativistic flux tube, and rotating string

Abstract

The Lagrange mesh method is a very accurate and simple procedure to compute eigenvalues and eigenfunctions of nonrelativistic and semirelativistic Hamiltonians. We show here that it can be used successfully to solve the equations of both the relativistic flux tube model and the rotating string model, in the symmetric case. Verifications of the convergence of the method are given.

Authors:
;  [1]
  1. Groupe de Physique Nucleaire Theorique, Universite de Mons-Hainaut, Academie Universitaire Wallonie-Bruxelles, Place du Parc 20, B-7000 Mons (Belgium)
Publication Date:
OSTI Identifier:
20641334
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Additional Journal Information:
Journal Volume: 71; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevE.71.026705; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-651X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COHERENT TUBE MODEL; CONVERGENCE; EIGENFUNCTIONS; EIGENVALUES; HAMILTONIANS; MESH GENERATION; RELATIVISTIC RANGE; SCHROEDINGER EQUATION; STRING MODELS; TUBES; VERIFICATION

Citation Formats

Buisseret, Fabien, and Semay, Claude. Lagrange mesh, relativistic flux tube, and rotating string. United States: N. p., 2005. Web. doi:10.1103/PhysRevE.71.026705.
Buisseret, Fabien, & Semay, Claude. Lagrange mesh, relativistic flux tube, and rotating string. United States. https://doi.org/10.1103/PhysRevE.71.026705
Buisseret, Fabien, and Semay, Claude. 2005. "Lagrange mesh, relativistic flux tube, and rotating string". United States. https://doi.org/10.1103/PhysRevE.71.026705.
@article{osti_20641334,
title = {Lagrange mesh, relativistic flux tube, and rotating string},
author = {Buisseret, Fabien and Semay, Claude},
abstractNote = {The Lagrange mesh method is a very accurate and simple procedure to compute eigenvalues and eigenfunctions of nonrelativistic and semirelativistic Hamiltonians. We show here that it can be used successfully to solve the equations of both the relativistic flux tube model and the rotating string model, in the symmetric case. Verifications of the convergence of the method are given.},
doi = {10.1103/PhysRevE.71.026705},
url = {https://www.osti.gov/biblio/20641334}, journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
issn = {1063-651X},
number = 2,
volume = 71,
place = {United States},
year = {Tue Feb 01 00:00:00 EST 2005},
month = {Tue Feb 01 00:00:00 EST 2005}
}