The proof of the quantum chaos conjecture for a broad class of quantum systems including the “kicked rotator” model as a special case is given; the distribution of absolute values of distances between adjacent energy levels is close to Poisson distribution and differs from it by a third order of smallness. The estimate of the remainder term is based on the new theory of generalized continued fractions for vectors.

continued fraction, quantum chaos

Mathematical modelling in actual problems of science and technics