Applications of Random Matrix Ensembles in Nuclear Systems
Maciej M. Duras
TL;DR
This paper explores how random matrix ensembles, like Gaussian and Ginibre, are used to analyze nuclear, molecular, and electron systems, focusing on quantum chaos and integrability through eigenenergy measures.
Contribution
It introduces applications of RME to various physical systems and defines measures for quantum chaos and integrability based on eigenenergy analysis.
Findings
Application of Gaussian and Ginibre RME to physical systems
Development of measures for quantum chaos and integrability
Analysis of eigenenergy distributions in nuclear and electronic systems
Abstract
The random matrix ensembles (RME), especially Gaussian RME and Ginibre RME, are applied to nuclear systems, molecular systems, and two-dimensional electron systems (Wigner-Dyson electrostatic analogy). Measures of quantum chaos and quantum integrability with respect to eigenergies of quantum systems are defined and calculated.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Stochastic processes and statistical mechanics · Cold Atom Physics and Bose-Einstein Condensates