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 ... |
In mathematical physics, the Wigner surmise is a statement about the probability distribution of the spaces between points in the spectra of nuclei of heavy ... |
In the present letter we find a correction to the Wigner-Dyson distribution in the region w~ A«Ec, where A is the mean level spacing. This is not a trivial task ... |
The first mathematically rigorous results for the level statistics were derived by Gaudin [3] and Dyson [4] using the method of orthogonal polynomials. The ... |
18 мая 2020 г. · It is found s^{(n)} in Gaussian ensembles follows a generalized Wigner-Dyson distribution with rescaled parameter \alpha=\nu C_{n+1}^2+n-1, ... |
The Wigner-Dyson distribution has been observed in other one-dimensional systems [4,44] whose Hamiltonian has the same form in Eq. (2) with disorder present. ... |
We propose an algorithm base on the modulable hidden variables and step length, which is inspired by the heuristic statistical physics and replica method, ... |
And then Wigner went on to propose his “surmise”. 1.3 Eigenvalue distribution in the Wigner-Dyson ensembles. The Wigner-Dyson ensembles of random Hamiltonian ... |
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