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Analytical Theory of Continued Fractions and Time Evolution in Many-ParticleSystems

机译：多粒子系统中连续分数与时间演化的分析理论

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摘要

The analytical theory of continued fractions plays a key role in the timeevolution behavior in many-particle systems. The aim of this study was to understand and to develop properties of relevant continued fractions for physical applications. Substantial progress has been made and reported in eleven (11) journal articles and several other conference proceedings also published. (AN).

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作者
Lee, M. H.;
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年度 1994
页码
总页数 4
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Scattering cross sections; Mathematical models; Time dependence; Dynamic response; Autocorrelation; Free electrons; Electron spin resonance; Solutions(General); Molecular structure; Potential energy;

机译：散射截面;数学模型;时间依赖性;动态响应;自相关;自由电子;电子自旋共振;解（通用）;分子结构;势能;

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专利

1. On a connection between Stieltjes continued fraction, KAM theory and E-infinity theory [J] . Marek-Crnjac L Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2004,第4期

机译：关于Stieltjes连续分数，KAM理论和E-无穷大理论之间的联系
2. An analogue of continued fractions in number theory for Nevanlinna theory [J] . Ye Z Transactions of the American Mathematical Society . 2004,第12期

机译：Nevanlinna理论的数论中连续分数的类似物
3. Analytic Continued Fractions for Regression: A Memetic Algorithm Approach [J] . Moscato Pablo, Sun Haoyuan, Haque Mohammad Nazmul Expert systems with applications . 2021,第Octa期

机译：回归的分析持续的分数：一种迭代算法方法
4. Analytic Continued Fractions for Regression: Results on 352 datasets from the physical sciences [C] . Pablo Moscato, Haoyuan Sun, Mohammad Nazmul Haque IEEE Congress on Evolutionary Computation . 2020

机译：回归的解析连续分数：来自物理科学的352个数据集的结果
5. Floquet theory and continued fractions for harmonically driven systems. [D] . Martinez Mantilla, Dario Fernando. 2003

机译：谐波驱动系统的浮球理论和连续分数。
6. Extreme Value Theory for Hurwitz Complex Continued Fractions [O] . Maxim Sølund Kirsebom 2021

机译：Hurwitz复杂持续分数的极值理论
7. Analytical Theory of Continued Fractions and Time Evolution in Many-Particle Systems. [O] . M. H. Lee 1994

机译：许多粒子系统中持续分数和时间演化的分析理论。

Analytical Theory of Continued Fractions and Time Evolution in Many-ParticleSystems

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