quantum chaos and random matrix theory

Quantum chaos refers to the study of chaotic behavior in quantum mechanical systems. It explores how classical chaos manifests in quantum systems through the behavior of energy levels and wave functions. Random matrix theory, on the other hand, is a mathematical framework used to study the statistical properties of matrices with random elements. It provides a powerful tool for understanding complex systems, especially in physics and statistics, where random matrices can accurately describe the behavior of a wide range of phenomena.

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