QUANTUM-MECHANICS AND QUANTUM HALL-EFFECT ON RIEMANN SURFACES

被引：40

作者：

IENGO, R ^{[1
]}

LI, DP ^{[1
]}

机构：

[1] IST NAZL FIS NUCL,TRIESTE,ITALY

来源：

NUCLEAR PHYSICS B | 1994年 / 413卷 / 03期

关键词：

D O I：

10.1016/0550-3213(94)90010-8

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：

The quantum mechanics of a system of charged particles interacting with a magnetic field on Riemann surfaces is studied. We explicitly construct the wave functions of ground states in the case of a metric proportional to the Chem form of the theta-bundle, and the wave functions of the Landau levels in the case of the Poincare metric. The degeneracy of the Landau levels is obtained by using the Riemann-Roch theorem. Then we construct the Laughlin wave function on Riemann surfaces and discuss the mathematical structure hidden in the Laughlin wave function. Moreover the degeneracy of the Laughlin states is also discussed.

引用

页码：735 / 753

页数：19

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