NOVEL CLASSICAL GROUND-STATE OF A MANY-BODY SYSTEM IN ARBITRARY DIMENSIONS

Authors
DATE G GHOSH PK MURTHY MVN
Citation
G. Date et al., NOVEL CLASSICAL GROUND-STATE OF A MANY-BODY SYSTEM IN ARBITRARY DIMENSIONS, Physical review letters, 81(15), 1998, pp. 3051-3054
Citations number
17
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
81
Issue
15
Year of publication
1998
Pages
3051 - 3054
Database
ISI
SICI code
0031-9007(1998)81:15<3051:NCGOAM>2.0.ZU;2-6
Abstract
The classical ground state of a D-dimensional many body system with tw o and three body interactions is studied as a function of the strength of the three body interaction. We prove exactly that beyond a critica l strength of the three body interaction the classical ground state of the system is one in which all the particles are on a line. The posit ions of the pal-tides in this string configuration are uniquely determ ined by the zeros of the Hermite polynomials. [S0031-9007(98)07354-2].