- 著者
- Inoue Hiroyuki
- 出版者
- 東京大学大学院総合文化研究科附属アメリカ太平洋地域研究センター
- 雑誌
- アメリカ太平洋研究 = Pacific and American studies (ISSN:13462989)
- 巻号頁・発行日
- vol.16, pp.124-128, 2016-03
1 0 0 0 OA One-Dimensional Conservative System with Quantum Level Statistics of Gaussian Orthogonal Ensembles
- 著者
- Tomiya Mitsuyoshi Sakamoto Shoichi Inoue Hiroyuki YOSHINAGA Naotaka
- 出版者
- 一般社団法人日本物理学会
- 雑誌
- Progress of theoretical physics. Supplement (ISSN:03759687)
- 巻号頁・発行日
- no.157, pp.156-159, 2005-04-30
We numerically study quantum mechanics of one-dimensional (1D) time-independent system whose energy level statistics obeys the Gaussian orthogonal ensemble. 1D conservative systems are known to be integrable. However, at least numerically, it is also shown that we can construct the potential for the Schrodinger equation that reproduces a finite number of given energy levels of chaotic regime, e.g., the random matrix theory. In this work a potential is constructed numerically by the standard gradient method. The more energy levels of chaotic regime we take, the more complicated and finer the ripples of the potential become. Then the potential has fractal structure at high energy limit and its fractal dimension is determined to be d=1.7.