27 citations · 82 across the 6 of their papers we have counts for
5 papers · 1 filter
Quantum Chaotic Systems and Random Matrix Theory
Akhilesh Pandey, Avanish Kumar, Sanjay Puri
This article is an introductory review of random matrix theory (RMT) and its applications, with special focus on quantum chaos. Random matrices were first used by Wigner to underst…
Finite-Range Coulomb Gas Models II: Applications to Quantum Kicked Rotors and Banded Random Matrices
Avanish Kumar, Akhilesh Pandey, Sanjay Puri
In paper I of this two-stage exposition, we introduced finite-range Coulomb gas (FRCG) models, and developed an integral-equation framework for their study. We obtained exact analy…
Finite-Range Coulomb Gas Models I: Some Analytical Results
Akhilesh Pandey, Avanish Kumar, Sanjay Puri
Dyson has shown an equivalence between infinite-range Coulomb gas models and classical random matrix ensembles for the study of eigenvalue statistics. In this paper, we introduce f…
Finite-Range Coulomb Gas Models of Banded Random Matrices and Quantum Kicked Rotors
Akhilesh Pandey, Avanish Kumar, Sanjay Puri
Dyson demonstrated an equivalence between infinite-range Coulomb gas models and classical random matrix ensembles for study of eigenvalue statistics. We introduce finite-range Coul…
Jacobi Crossover Ensembles of Random Matrices and Statistics of Transmission Eigenvalues
Santosh Kumar, Akhilesh Pandey
We study the transition in conductance properties of chaotic mesoscopic cavities as time-reversal symmetry is broken. We consider the Brownian motion model for transmission eigenva…