PEIERLS SUBSTITUTION AND CHERN-SIMONS QUANTUM-MECHANICS

被引：100
作者：
DUNNE, G
JACKIW, R
机构：
[1] UNIV CONNECTICUT,DEPT PHYS,STORRS,CT 06269
[2] MIT,CTR THEORET PHYS,NUCL SCI LAB,CAMBRIDGE,MA 02139
[3] MIT,DEPT PHYS,CAMBRIDGE,MA 02139
来源：
NUCLEAR PHYSICS B | 1993年
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/0920-5632(93)90376-H
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：
Drawing on insights from Chern-Simons theory, we give an elementary derivation for the ''Peierls substitution'' used in projecting dynamics in a strong magnetic field onto the lowest Landau level. The projection of wave functions and the ordering prescription for the projected Hamiltonian is explained.
引用
收藏
页码：114 / 118
页数：5
相关论文
共 20 条
[1]   BLOCH ELECTRONS IN A MAGNETIC FIELD [J].
BLOUNT, EI .
PHYSICAL REVIEW, 1962, 126 (05) :1636-&
[2]   TOPOLOGICAL (CHERN-SIMONS) QUANTUM-MECHANICS [J].
DUNNE, GV ;
JACKIW, R ;
TRUGENBERGER, CA .
PHYSICAL REVIEW D, 1990, 41 (02) :661-666
[3]   HAMILTONIAN REDUCTION OF UNCONSTRAINED AND CONSTRAINED SYSTEMS [J].
FADDEEV, L ;
JACKIW, R .
PHYSICAL REVIEW LETTERS, 1988, 60 (17) :1692-1694
[4]  
FADDEEV LD, 1985, METHODS FIELD THEORY
[5]   FORMALISM FOR THE QUANTUM HALL-EFFECT - HILBERT-SPACE OF ANALYTIC-FUNCTIONS [J].
GIRVIN, SM ;
JACH, T .
PHYSICAL REVIEW B, 1984, 29 (10) :5617-5625
[6]   ENERGY-LEVELS AND WAVE-FUNCTIONS OF BLOCH ELECTRONS IN RATIONAL AND IRRATIONAL MAGNETIC-FIELDS [J].
HOFSTADTER, DR .
PHYSICAL REVIEW B, 1976, 14 (06) :2239-2249
[7]   ONE-DIMENSIONAL FERMIONS AS 2-DIMENSIONAL DROPLETS VIA CHERN-SIMONS THEORY [J].
ISO, S ;
KARABALI, D ;
SAKITA, B .
NUCLEAR PHYSICS B, 1992, 388 (03) :700-714
[8]   FERMIONS IN THE LOWEST LANDAU-LEVEL - BOSONIZATION, W-INFINITY ALGEBRA, DROPLETS, CHIRAL BOSONS [J].
ISO, S ;
KARABALI, D ;
SAKITA, B .
PHYSICS LETTERS B, 1992, 296 (1-2) :143-150
[9]  
ISO S, 1991, UT579 U TOK PREPR
[10]   SEMICLASSICAL APPROACH FOR NONRELATIVISTIC FERMIONS IN LOW DIMENSIONS [J].
KARABALI, D ;
SAKITA, B .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1991, 6 (28) :5079-5097
12