Quantum irregular spectra: An alternative interpretation from the viewpoint of nonlinear dynamics.

Abstract

By solving numerically the generalized Calogero-Moser equation corresponding to the model quantum Hamiltonian, we suggest an alternative interpretation of quantum irregular energy spectra from the viewpoint of nonlinear dynamics. The soliton-gas picture is shown to be effective in describing the Gaussian orthogonal ensemble-like spectra. The transition from Poisson to Wigner level-spacing distributions can be interpreted in the terminology of nonlinear dynamics such as soliton density and fluctuation of accelerations