level repulsion: two eigenvalues of a matrix are unlikely to be close to each other. We can prove this by considering the special case of 2×2 hermitean matrices ...

26 апр. 2019 г. · We analyze the degree of energy-level repulsion, the structure of the eigenstates, and the time evolution of the finite 1D Anderson model.

One –physical– is that the level repulsion is nothing but the avoided level crossing which is well known in quantum mechanics and which is caused by the |V |2 ...

21 дек. 2017 г. · ... level repulsion (as in Wigner's surmise): the eigenvalues of random matrices generically repel each other, while independent variables do.

Tutorial: Level statistics. Level repulsion. Random matrices. · I Energy level statistics · II Gaussian random matrix ensembles and equipartition over degrees of ...

In the limit (i.), the resulting sum S develops level repulsion even though the original matrices do not feature it, and classical RMT universality is restored ...

We find that in the DGUEs, level repulsion always prevails at a sufficiently short distance and may be lifted only in the limit of strictly enforced constraints ...

Definition of the Hamiltonian · Question about the randomness · Applications · Symmetry classes: time reversal symmetry · Origin of level repulsion on a 2x2 matrix.

22 окт. 2024 г. · In view of the greate interest in the band random matrices, we investigate the level repulsion in th simplest case of 3x3 band matrices.

The level repulsion exhibited by their level spacing distributions is studied and contrasted with the level spacing of independent, identically distributed ...