Random Matrices and the Statistical Theory of Energy Levels - Brossura

Mehta, M. L.

Brossura

ISBN 10: 1483255832 ISBN 13: 9781483255835

Casa editrice: Academic Press, 2015

Riassunto

Random Matrices and the Statistical Theory of Energy Levels focuses on the processes, methodologies, calculations, and approaches involved in random matrices and the statistical theory of energy levels, including ensembles and density and correlation functions. The publication first elaborates on the joint probability density function for the matrix elements and eigenvalues, including the Gaussian unitary, symplectic, and orthogonal ensembles and time-reversal invariance. The text then examines the Gaussian ensembles, as well as the asymptotic formula for the level density and partition function. The manuscript elaborates on the Brownian motion model, circuit ensembles, correlation functions, thermodynamics, and spacing distribution of circular ensembles. Topics include continuum model for the spacing distribution, thermodynamic quantities, joint probability density function for the eigenvalues, stationary and nonstationary ensembles, and ensemble averages. The publication then examines the joint probability density functions for two nearby spacings and invariance hypothesis and matrix element correlations. The text is a valuable source of data for researchers interested in random matrices and the statistical theory of energy levels.

Dettagli dell?edizione

• Editore: Academic Press
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 1483255832
• ISBN 13: 9781483255835
• Rilegatura: Copertina flessibile
• Numero di pagine: 270
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile