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

被引：9

作者：

Date, G ^{[1
]}

Ghosh, PK ^{[1
]}

Murthy, MVN ^{[1
]}

机构：

[1] Inst Math Sci, Madras 600113, Tamil Nadu, India

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 81卷 / 15期

关键词：

D O I：

10.1103/PhysRevLett.81.3051

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 pal-tides in this string configuration are uniquely determined by the zeros of the Hermite polynomials. [S0031-9007(98)07354-2].

引用

收藏

页码：3051 / 3054

页数：4

相关论文

共 17 条

[1] PROPERTIES OF THE ZEROS OF THE CLASSICAL POLYNOMIALS AND OF THE BESSEL FUNCTIONS [J].

AHMED, S ;

BRUSCHI, M ;

CALOGERO, F ;

OLSHANETSKY, MA ;

PERELOMOV, AM .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1979, 49 (02) :173-199

[2] ORDERING AND PHASE-TRANSITIONS OF CHARGED-PARTICLES IN A CLASSICAL FINITE 2-DIMENSIONAL SYSTEM [J].

BEDANOV, VM ;

PEETERS, FM .

PHYSICAL REVIEW B, 1994, 49 (04) :2667-2676

[3]

BOLTON F, 1993, SUPERLATTICE MICROST, V13, P140

[4] EXACT BOUND-STATES OF SOME N-BODY SYSTEMS WITH 2-BODY AND 3-BODY FORCES [J].

CALOGERO, F ;

MARCHIORO, C .

JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (02) :182-184

[5] EQUILIBRIUM CONFIGURATION OF ONE-DIMENSIONAL N-BODY PROBLEM WITH QUADRATIC AND INVERSELY QUADRATIC PAIR POTENTIALS [J].

CALOGERO, F .

LETTERE AL NUOVO CIMENTO, 1977, 20 (07) :251-253

[6] SOLUTION OF A 3-BODY PROBLEM IN ONE DIMENSION [J].

CALOGERO, F .

JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (12) :2191-&

[7] Classical many-particle clusters in two dimensions [J].

Date, G ;

Murthy, MVN ;

Vathsan, R .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1998, 10 (26) :5875-5896

[8] CLASSICAL DYNAMICS OF ANYONS AND THE QUANTUM SPECTRUM [J].

DATE, G ;

MURTHY, MVN .

PHYSICAL REVIEW A, 1993, 48 (01) :105-110

[9] Supersymmetric model of a 2D long-range Bose liquid [J].

Feigelman, MV ;

Skvortsov, MA .

NUCLEAR PHYSICS B, 1997, 506 (03) :665-684

[10] OFF-DIAGONAL LONG-RANGE ORDER, OBLIQUE CONFINEMENT, AND THE FRACTIONAL QUANTUM HALL-EFFECT [J].

GIRVIN, SM ;

MACDONALD, AH .

PHYSICAL REVIEW LETTERS, 1987, 58 (12) :1252-1255