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Graphs and an exactly solvable N-body problem in one dimension

Abstract

The one-dimensional N-body classical problem with inversely quadratic pair potential is considered. A method of explicit construction, by means of graphs, of the constants of the motion is given. It is then shown how to obtain, by means of a computer, the position variables of the particles as numerical functions of time.
Authors:
Barucchi, G [1] 
  1. Turin Univ. (Italy). Ist. di Fisica Matematica
Publication Date:
Aug 21, 1980
Product Type:
Journal Article
Reference Number:
AIX-14-773241; EDB-83-181851
Resource Relation:
Journal Name: Nuovo Cimento A; (Italy); Journal Volume: 58:4
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MANY-BODY PROBLEM; HAMILTONIANS; CLASSICAL MECHANICS; CONFORMAL INVARIANCE; EQUATIONS OF MOTION; NUMERICAL SOLUTION; VERTEX FUNCTIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL OPERATORS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; 657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
OSTI ID:
5807430
Country of Origin:
Italy
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: NCIAA
Submitting Site:
HEDB
Size:
Pages: 302-312
Announcement Date:

Citation Formats

Barucchi, G. Graphs and an exactly solvable N-body problem in one dimension. Italy: N. p., 1980. Web. doi:10.1007/BF02730257.
Barucchi, G. Graphs and an exactly solvable N-body problem in one dimension. Italy. doi:10.1007/BF02730257.
Barucchi, G. 1980. "Graphs and an exactly solvable N-body problem in one dimension." Italy. doi:10.1007/BF02730257. https://www.osti.gov/servlets/purl/10.1007/BF02730257.
@misc{etde_5807430,
title = {Graphs and an exactly solvable N-body problem in one dimension}
author = {Barucchi, G}
abstractNote = {The one-dimensional N-body classical problem with inversely quadratic pair potential is considered. A method of explicit construction, by means of graphs, of the constants of the motion is given. It is then shown how to obtain, by means of a computer, the position variables of the particles as numerical functions of time.}
doi = {10.1007/BF02730257}
journal = {Nuovo Cimento A; (Italy)}
volume = {58:4}
journal type = {AC}
place = {Italy}
year = {1980}
month = {Aug}
}