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Study of the generalized solutions of n-body type problems with weak forces

Technical Report:

Abstract

We show that the generalized solutions of n-body type problems with weak forces, in R{sup l}, obtained as limits of classical solutions of problems with strong force potentials, have at most a finite number of collisions if l {>=} 2(n-2) + 1. We also estimate the number of collisions using the Morse index of the approximated solutions when l {>=} 2(n - 1) + 1 and in particular, we show the existence of a non-collision solution in the case of a symmetrical potential and l {>=} 2(n - 1) + 1. (author). 13 refs.
Authors:
Publication Date:
Oct 01, 1994
Product Type:
Technical Report
Report Number:
IC-94/332
Reference Number:
SCA: 661100; PA: AIX-26:012166; EDB-95:031951; SN: 95001324643
Resource Relation:
Other Information: PBD: Oct 1994
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MANY-BODY PROBLEM; COLLISIONS; WEAK INTERACTIONS; HAMILTONIANS; MATHEMATICAL SPACE; MORSE POTENTIAL; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10112406
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE95613381; TRN: XA9438482012166
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
15 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Riahi, H. Study of the generalized solutions of n-body type problems with weak forces. IAEA: N. p., 1994. Web.
Riahi, H. Study of the generalized solutions of n-body type problems with weak forces. IAEA.
Riahi, H. 1994. "Study of the generalized solutions of n-body type problems with weak forces." IAEA.
@misc{etde_10112406,
title = {Study of the generalized solutions of n-body type problems with weak forces}
author = {Riahi, H}
abstractNote = {We show that the generalized solutions of n-body type problems with weak forces, in R{sup l}, obtained as limits of classical solutions of problems with strong force potentials, have at most a finite number of collisions if l {>=} 2(n-2) + 1. We also estimate the number of collisions using the Morse index of the approximated solutions when l {>=} 2(n - 1) + 1 and in particular, we show the existence of a non-collision solution in the case of a symmetrical potential and l {>=} 2(n - 1) + 1. (author). 13 refs.}
place = {IAEA}
year = {1994}
month = {Oct}
}