Localization in strongly chaotic systems Academic Article uri icon

abstract

  • Abstract We discuss the differences and similarities in structure between Hamiltonian matrices of strongly chaotic time-independent systems and the evolution operator matrix for the kicked-rotor model. Since the eigenvectors of the latter are exponentially localized, we study the influence of the differences between the two systems on this property. In particular, the Wigner ensemble is used to show that, for, the effect of the slow variation of the diagonal matrix elements in the Hamiltonian matrices is restricted to the tails of the eigenvectors.

publication date

  • January 1, 1997