AN EXACTLY SOLVABLE N-PARTICLE SYSTEM IN SUPERSYMMETRIC QUANTUM-MECHANICS

被引：120

作者：

FREEDMAN, DZ

MENDE, PF

机构：

[1] MIT,CTR THEORET PHYS,NUCL SCI LAB,CAMBRIDGE,MA 02139

[2] MIT,DEPT PHYS,CAMBRIDGE,MA 02139

来源：

NUCLEAR PHYSICS B | 1990年 / 344卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(90)90364-J

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

A supersymmetric generalization of a known solvable quantum mechanical model of N particles interacting with combined harmonic and repulsive forces is given. The new model has both supersymmetry-conserving and supersymmetry-breaking phases, and the exact energy spectrum and degeneracies are found in both phases. The operator algebra of the model contains the superalgebra OSp(2{norm of matrix}2). The limit N → ∞ is studied, and a relation withe the theory of random matrices is discussed. © 1990.

引用

页码：317 / 343

页数：27

共 18 条

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