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

Banach Center Publications (2006)

- Volume: 73, Issue: 1, page 409-414
- ISSN: 0137-6934

## Access Full Article

top## Abstract

top## How to cite

topPiotr 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.