Date, G. ; Ghosh, Pijush K. ; Murthy, M. V. N. (1998) Novel classical ground state of a many body system in arbitrary dimensions Physical Review Letters, 81 (15). pp. 3051-3054. ISSN 0031-9007
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Official URL: http://prl.aps.org/abstract/PRL/v81/i15/p3051_1
Related URL: http://dx.doi.org/10.1103/PhysRevLett.81.3051
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Physical Society. |
| ID Code: | 25539 |
| Deposited On: | 06 Dec 2010 13:15 |
| Last Modified: | 09 Jun 2011 10:55 |
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