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1989). Prog. Theor. Phys. Suppl. 99, 149. Allan, D. W. (1966). Proc. IEEE 54, 221. , and Thirring, W. (1987). Commun. Math. Phys. 112, 691. , and Horn, P. M. (1981). Rev. Mod. Phys. 53, 497. Esaki, L. (1985). In The Technology and Physics of Molecular Beam Epitaxy, E. H. C. Parker, ed. New York Plenum. , et al. (1987). Phys. Rev. Lett. 59, 2503. , et al. (1990). Phys. Rev. Lett. 64, 1581. Jauslin, H. R. (1991). Physica D51, 200. , et al. (1992). Phys. Rev. Lett. 68, 2269. Mandelbrot, B. B. (1968).

Et al. (1989). Prog. Theor. Phys. Suppl. 99, 149. Allan, D. W. (1966). Proc. IEEE 54, 221. , and Thirring, W. (1987). Commun. Math. Phys. 112, 691. , and Horn, P. M. (1981). Rev. Mod. Phys. 53, 497. Esaki, L. (1985). In The Technology and Physics of Molecular Beam Epitaxy, E. H. C. Parker, ed. New York Plenum. , et al. (1987). Phys. Rev. Lett. 59, 2503. , et al. (1990). Phys. Rev. Lett. 64, 1581. Jauslin, H. R. (1991). Physica D51, 200. , et al. (1992). Phys. Rev. Lett. 68, 2269. Mandelbrot, B.

We shall call this marginal chaos pseudo-chaos . 001 (see Fig. 2(c)), which is reminiscent of Brownian motions. , in the intermittent chaos and general Hamiltonian systems, and is called simply as 1/f fluctuation. , 1987, 1990), little attention has been given to 1 /f fluctuation in quantum systems. The results in Fig. 2 are mysterious, if one recalls the lack of extrinsic randomness introduced into the system and the linearity of the Schrödinger equation. (In a mean-field approximation, to be mentioned in the next section, a nonlinear Hartree-like equation can be available, showing chaotic phenomena.

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