Powers of the Vandermonde determinant and the quantum Hall effect

DOI10.1088/0305-4470/27/12/026zbMath0827.05059OpenAlexW2031362459MaRDI QIDQ4845679

Thomas Scharf, Jean-Yves Thibon, Brian G. Wybourne

Publication date: 22 October 1995

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/27/12/026

zbMATH Keywords

algorithmSchur functionstableauxpolynomialsfractional quantum Hall effectLittlewood-Richardson rulediscriminantscoefficientsVandermonde determinantLaughlin wavefunctionground-state wavefunctioncomplete expansionLaughlin ansatzSlater determinantal wavefunctionsVandermonde alternant

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57) Groups and algebras in quantum theory (81R99) Applications of statistical mechanics to specific types of physical systems (82D99)

Related Items (13)

Exact energy computation of the one component plasma on a sphere for even values of the coupling parameter ⋮ Connections between vector-valued and highest weight Jack and Macdonald polynomials ⋮ Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics ⋮ Expanded Vandermonde powers and sum rules for the two-dimensional one-component plasma ⋮ A two-dimensional one component plasma and a test charge: polarization effects and effective potential ⋮ Geometric entanglement in the Laughlin wave function ⋮ Fluctuations and entanglement spectrum in quantum Hall states ⋮ Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde ⋮ Macdonald polynomials at \(t=q^k\) ⋮ Schur-positivity in a square ⋮ Entanglement Entropy in Fermionic Laughlin States ⋮ Newton polytopes in algebraic combinatorics ⋮ CFT approach to constraint operators for (\(\beta\)-deformed) Hermitian one-matrix models

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