Gaussian Random Matrix Models¶for q-deformed Gaussian Variables
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We construct a family of random matrix models for the q-deformed Gaussian random variables G μ=a μ+a^*μ, where the annihilation operators a μ and creation operators $a\gwia_\nu$ fulfill the $q$-deformed commutation relation a μ a^*ν−q a^*ν a μ=Γμν, Γμν is the covariance and 0<q<1 is a given number. An important feature of the considered random matrices is that the joint distribution of their entries is Gaussian.
KeywordsCovariance Matrix Model Joint Distribution Commutation Relation Random Matrice
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