According to the initial idea of Wigner and Dyson all systems with complex interactions do not possess any symmetry but possibly time-reversal symmetry and thus ...

3 нояб. 2009 г. · This is a course on Random Matrix Theory which includes traditional as well as advanced topics presented with an extensive use of classical logarithmic plasma ...

The first mathematically rigorous results for the level statistics were derived by Gaudin [3] and Dyson [4] using the method of orthogonal polynomials. The ...

Abstract. We compute the correlation functions of the eigenvalues in the Gaussian unitary ensemble using the fermionic replica method. We show that non-trivial ...

12 янв. 1999 г. · Abstract: We compute the correlation functions of the eigenvalues in the Gaussian unitary ensemble using the fermionic replica method.

This conjecture states that a quantum system whose classical analog is chaotic will have an energy-level spectrum that obeys Wigner-Dyson statistics.

10 июн. 2021 г. · This conjecture states that a quantum system whose classical analogue is chaotic will have an energy level spectrum that obeys Wigner-Dyson.

The level statistics of disordered metallic grains with broken time reversal invariance is obtained from a saddle point analysis of the Keldysh nonlinear ...

The first mathematically rigorous results for the level statistics were derived by Gaudin [3] and Dyson [4] using the method of orthogonal polynomials. The ...

21 окт. 2003 г. · Abstract. We construct an ensemble of second-quantized Hamiltonians with two bosonic degrees of freedom, whose members display with probability ...