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

• Autorzy: Piotr Śniady
• Języki publikacji: EN

Abstrakty

EN

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].

Kategorie tematyczne

• 81V35: Nuclear physics
• 81V70: Many-body theory; quantum Hall effect

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 73
• Numer: 1
• Strony: 409-414

Daty

wydano

2006

Twórcy

autor

Piotr Śniady

• Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/bc73-0-32