Gaussian Random Matrix Models for q-deformed Gaussian Random Variables

Details Gaussian Random Matrix Models for q-deformed Gaussian Random Variables Gaussian Random Matrix Models for q-deformed Gaussian Random Variables

2000-07-26

arxiv.org/abs/math/0007158v1

Commun. Math. Phys. 216 (2001) 515-537

Mathematics

Probability

22 pages, 5 figures

Scientific paper

10.1007/s002200000345

We construct a family of random matrix models for the q-deformed Gaussian random variables G_\mu=a_\mu+a^\star_\mu where the annihilation operators a_\mu and creation operators a^\star_\nu fulfil the q-deformed commutation relation a_\mu a^\star_\nu-q a^\star_\nu a_\mu=\Gamma_{\mu\nu}, \Gamma_{\mu\nu} is the covariance and 0

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