ON THE SPECTRAL PROBLEM FOR ANYONS

被引：11

作者：

BAKER, GA ^{[1
]}

CANRIGHT, GS ^{[1
]}

MULAY, SB ^{[1
]}

SUNDBERG, C ^{[1
]}

机构：

[1] UNIV TENNESSEE,DEPT PHYS,KNOXVILLE,TN 37996

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 153卷 / 02期

关键词：

D O I：

10.1007/BF02096644

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the spectral problem resulting from the Schrodinger equation for a quantum system of n greater-than-or-equal-to 2 indistinguishable, spinless, hard-core particles on a domain in two dimensional Euclidian space. For particles obeying fractional statistics, and interacting via a repulsive hard core potential, we provide a rigorous framework for analysing the spectral problem with its multi-valued wave functions.

引用

页码：277 / 295

页数：19

共 21 条

[1]

Adams RA., 2003, PURE APPL MATH SOB O, V2

[2] HYPERCONTRACTIVITY AND SPECTRAL GAP OF SYMMETRICAL DIFFUSIONS WITH APPLICATIONS TO THE STOCHASTIC ISING-MODELS [J].