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Novel classical ground state of a many body system in arbitrary dimensions

G. Date·Pijush K. Ghosh·M. V. N. Murthy
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Abstract

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.

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G. Date, Pijush K. Ghosh, M. V. N. Murthy. 1998-09-04. Novel classical ground state of a many body system in arbitrary dimensions. https://doi.org/10.1103/physrevlett.81.3051

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