MATRIX MODELS, ONE-DIMENSIONAL FERMIONS, AND QUANTUM CHAOS

被引:94
作者
SIMONS, BD
LEE, PA
ALTSHULER, BL
机构
[1] Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139
关键词
D O I
10.1103/PhysRevLett.72.64
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Recent studies of universal parametric correlations in quantum chaotic spectra have revealed an astonishing connection to an integrable one-dimensional quantum system. We introduce a continuous matrix model which establishes a direct connection between the quantum Hamiltonian and the exact field theoretic description of spectral correlations. This reveals a common mathematical structure which underlies quantum chaos, matrix models, and a quantum Hamiltonian.
引用
收藏
页码:64 / 67
页数:4
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