Por favor, use este identificador para citar o enlazar este ítem:
http://www.repositorio.ufop.br/jspui/handle/123456789/15292
Título : | Numerical simulation of GUE two-point correlation and cluster functions. |
Autor : | Sargeant, Adam James |
Palabras clave : | Random matrix theory Gaussian unitary ensemble Correlation functions |
Fecha de publicación : | 2021 |
Citación : | SARGEANT, A. J. Numerical simulation of GUE two-point correlation and cluster functions. Brazilian Journal of Physics, v. 51, p. 308-315, 2021. Disponível em: <https://link.springer.com/article/10.1007/s13538-020-00802-6>. Acesso em: 29 abr. 2022. |
Resumen : | Numerical simulations of the two-point eigenvalue correlation and cluster functions of the Gaussian unitary ensemble (GUE) are carried out directly from their definitions in terms of deltas functions. The simulations are compared with analytical results which follow from three analytical formulas for the two-point GUE cluster function: (i) Wigner’s exact formula in terms of Hermite polynomials, (ii) Brezin and Zee’s approximate formula which is valid for points with small enough separations and (iii) French, Mello and Pandey’s approximate formula which is valid on average for points with large enough separations. It is found that the oscillations present in formulas (i) and (ii) are reproduced by the numerical simulations if the width of the function used to represent the delta function is small enough and that the non-oscillating behaviour of formula (iii) is approached as the width is increased. |
URI : | http://www.repositorio.ufop.br/jspui/handle/123456789/15292 |
metadata.dc.identifier.uri2: | https://link.springer.com/article/10.1007/s13538-020-00802-6 |
metadata.dc.identifier.doi: | https://doi.org/10.1007/s13538-020-00802-6 |
ISSN : | 1678-4448 |
Aparece en las colecciones: | DECEA - Artigos publicados em periódicos |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
---|---|---|---|---|
ARTIGO_NumericalSimulationGUE.pdf Restricted Access | 6,57 MB | Adobe PDF | Visualizar/Abrir |
Los ítems de DSpace están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.