RANDOM-MATRIX THEORIES IN QUANTUM PHYSICS : COMMON CONCEPTS
Abstrak
We review the development of random-matrix theory (RMT) during the last fifteen years. We emphasize both the theoretical aspects, and the application of the theory to a number of fields. These comprise chaotic and disordered systems, the localization problem, many-body quantum systems, the Calogero-Sutherland model, chiral symmetry breaking in QCD, and quantum gravity in two dimensions. The review is preceded by a brief historical survey of the developments of RMT and of localization theory since their inception. We emphasize the concepts common to the above-mentioned fields as well as the great diversity of RMT. In view of the universality of RMT, we suggest that the current development signals the emergence of a new “statistical mechanics”: Stochasticity and general symmetry requirements lead to universal laws not based on dynamical principles.
Topik & Kata Kunci
Penulis (3)
T. Guhr
A. Mueller-Groeling
H. Weidenmueller
Akses Cepat
- Tahun Terbit
- 1997
- Bahasa
- en
- Total Sitasi
- 1666×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1016/S0370-1573(97)00088-4
- Akses
- Open Access ✓