Limit distributions of many-particle spectra and q-deformed Gaussian variables

Piotr Śniady. "Limit distributions of many-particle spectra and q-deformed Gaussian variables." Banach Center Publications 73.1 (2006): 409-414. <http://eudml.org/doc/282156>.

@article{PiotrŚniady2006,
abstract = {We find the limit distributions for a spectrum of a system of n particles governed by a k-body interaction. The hamiltonian of this system is modelled by a Gaussian random matrix. We show that the limit distribution is a q-deformed Gaussian distribution with the deformation parameter q depending on the fraction k/√n. The family of q-deformed Gaussian distributions include the Gaussian distribution and the semicircular law; therefore our result is a generalization of the results of Wigner [Wig1, Wig2], Mon and French [MF].},
author = {Piotr Śniady},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {409-414},
title = {Limit distributions of many-particle spectra and q-deformed Gaussian variables},
url = {http://eudml.org/doc/282156},
volume = {73},
year = {2006},
}

TY - JOUR
AU - Piotr Śniady
TI - Limit distributions of many-particle spectra and q-deformed Gaussian variables
JO - Banach Center Publications
PY - 2006
VL - 73
IS - 1
SP - 409
EP - 414
AB - We find the limit distributions for a spectrum of a system of n particles governed by a k-body interaction. The hamiltonian of this system is modelled by a Gaussian random matrix. We show that the limit distribution is a q-deformed Gaussian distribution with the deformation parameter q depending on the fraction k/√n. The family of q-deformed Gaussian distributions include the Gaussian distribution and the semicircular law; therefore our result is a generalization of the results of Wigner [Wig1, Wig2], Mon and French [MF].
LA - eng
UR - http://eudml.org/doc/282156
ER -