17 citations · 61 across the 10 of their papers we have counts for
4 papers · 1 filter
Particles confined in arbitrary potentials with a class of finite-ranged interactions
Avanish Kumar, Manas Kulkarni, Anupam Kundu
In this paper, we develop a large- field theory for a system of classical particles in one dimension at thermal equilibrium. The particles are confined by an arbitrary exter…
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…