Integrable random matrix ensembles
作者： E Bogomolny , O Giraud , C Schmit
DOI: 10.1088/0951-7715/24/11/010
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摘要: We propose new classes of random matrix ensembles whose statistical properties are intermediate between statistics Wigner-Dyson matrices and Poisson statistics. The construction is based on integrable N-body classical systems with a distribution momenta coordinates the particles. Lax these yield joint eigenvalues can be calculated analytically thanks to integrability underlying system. Formulas for spacing distributions level compressibility obtained various instances such ensembles.
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128.84.21.199参考文章(36)
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