Abstract

One of the important results obtained during the last ten years in the field of quantum chaos is the analogy between Anderson’s localization and the suppression of classical diffusion by quantum interferences. This is now called “dynamical localization”. This analogy was described in the famous paper by Fishman, Grempel and Prange [1] interpreting the eigenvalues equation for the quasienergy in the kicked rotor (KR) problem in terms of a one dimensional chain with random potential. In the KR the sites of the chain correspond to quantized values of the angular momentum, giving localization in momentum space, instead, compared with disordered systems where the localization takes place in the real space.

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