Physics – Condensed Matter
Scientific paper
1998-02-27
Physical Review Letters 81 (1998) 3051-3054
Physics
Condensed Matter
4 pages, RevTeX, no figure; version to appear in Physical Review Letters
Scientific paper
10.1103/PhysRevLett.81.3051
The classical ground state of a D- dimensional many body system with two and three body interactions is studied as a function of the strength of the three body interaction. We prove exactly that beyond a critical 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 positions of the particles in this string configuration are uniquely determined by the zeros of the Hermite polynomials.
Date Ghanashyam
Ghosh Pijush K.
Murthy M. V. N.
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