Gaussian unitary ensemble

URI: https://gptkb.org/entity/Gaussian_unitary_ensemble

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:random_matrix_ensemble
gptkbp:abbreviation	gptkb:GUE
gptkbp:application	number theory statistical physics quantum chaos
gptkbp:eigenvalue_distribution	joint probability density function
gptkbp:eigenvalue_statistics	universal in large N limit
gptkbp:ensemble_average	over Hermitian matrices
gptkbp:field	gptkb:mathematics mathematical physics random matrix theory
gptkbp:hasInvariant	unitary transformations
gptkbp:introduced	gptkb:Eugene_Wigner
gptkbp:matrix_entries	complex numbers
gptkbp:matrix_entries_distribution	gptkb:Gaussian_distribution
gptkbp:matrix_size	N x N
gptkbp:matrix_type	gptkb:Hermitian_matrices
gptkbp:probability_measure	proportional to exp(-Tr(H^2))
gptkbp:relatedTo	gptkb:Wigner_semicircle_law gptkb:Gaussian_orthogonal_ensemble gptkb:Gaussian_symplectic_ensemble Dyson index β=2
gptkbp:symmetry_class	unitary symmetry
gptkbp:used_in	study of spectral statistics
gptkbp:bfsParent	gptkb:Wigner_surmise
gptkbp:bfsLayer	5
https://www.w3.org/2000/01/rdf-schema#label	Gaussian unitary ensemble