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In This Chapter
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Quantum Chaotic Systems and Random Matrix
Theory
- Introduction
- Random Matrix Theory
- Statistical Properties of Eigenvalues
- Statistical Properties of Eigenvectors
- Application to Nuclear Spectra
- Quantum Chaos and Random Matrices
- Quantum Integrable Systems and Poisson Statistics
- Classical Kicked Rotor
- Quantum Kicked Rotor
- Eigenvalue and Eigenvector Fluctuations in QKR
- Transition Ensembles
- Conductance Fluctuations in Mesoscopic Systems
- Finite Range Coulomb Gas Models
- Wishart Ensembles
- Conclusion
- References
- Appendix A
Abstract
This article provides a pedagogical introduction to the subject of random matrix theory (RMT) and its applications. More advanced readers may refer to several books and reviews which deal extensively with this subject [1-12].
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