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Prog. Theor. Phys. Vol. 86 No. 1 (1991) pp. 1-6
Letters
On a Random System Which Reveals Anomalous Localization of Wave Functions
Yoji Aizawa,
Akira Shudo,
Kaoru Kurumi,
Masaki Goda* and
Hiroaki Yamada*
Department of Applied Physics, Waseda University, Tokyo 169
*Graduate School of Science and Technology, Niigata University, Niigata 950-21
(Received February 4, 1991)
Abstract:
The anomalous localization of wave functions is numerically studied using a one-dimensional chaotic field with a long range correlation. The level statistics of energy eigenvalues and the distribution of Lyapunov exponents are discussed from the viewpoint of multi-fractal analysis and large deviation theory.
URL :
http://ptp.ipap.jp/link?PTP/86/1/
DOI : 10.1143/PTP.86.1
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H. Yamada, M. Goda and Y. Aizawa, in preparation.
