Schur functions, chiral bosons, and the quantum-Hall-effect edge states.
Schur functions, chiral bosons, and the quantum-Hall-effect edge states.
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舒尔函数、手性玻色子和量子霍尔效应边缘态。
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
M. Stone
中科院分区：
文献类型：
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作者：
M. Stone
我演示了如何多体波函数可用于描述玻色化的边缘激发液滴的ensuremath{
u}=1量子霍尔液体。特别是，我表现出的电荷中性的液滴和空间的普遍对称多项式的边缘态激发之间的同构。这个空间有两个自然基;第一个是舒尔函数，对应于费米子图像;第二个是由幂和产生的，产生玻色图像和卡茨-穆迪代数。我还明确地显示了如何循环组LU（1）的行为，以创建用于路径积分玻色子化和手征玻色子的量子化的液滴形状的相干态变形。
I demonstrate how the many-body wave function may be used to describe the bosonization of the edge excitations of a droplet of ensuremath{
u}=1 quantum-Hall liquid. In particular, I exhibit an isomorphism between the charge-neutral edge-state excitations of the droplet and the space of universal symmetric polynomials. There are two natural bases for this space; the first, the Schur functions, correspond to the fermion picture; the second, generated by the power sums, yields the Bose picture and the Kac-Moody algebra. I also show explicitly how the loop group LU(1) acts to create the coherent-state deformations of the droplet shape used in path-integral bosonization and in the quantization of chiral bosons.