GITA - A REDUCE PROGRAM FOR THE NORMALIZATION OF POLYNOMIAL HAMILTONIANS

Basios V.; Markovski BL.; Rostovtsev VA.; Vinitsky SI.; Chekanov NA.

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GITA - A REDUCE PROGRAM FOR THE NORMALIZATION OF POLYNOMIAL HAMILTONIANS

机译：GITA-多项式哈密顿数归一化的简化程序

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For a given polynomial Hamiltonian near an equilibrium point the program GITA calculates analytically the normal Birkhoff-Gustavson form in Cartesian as well as angle-action coordinates and the formal integral of the motion. These quantities are presented in the form of a truncated power series, the highest degree of which determines the degree of the approximation. The program performs the calculation of the modified normal Birkhoff-Gustavson form for the Hamiltonian restricted by tile resonance condition. The program package is written in the computer algebra system REDUCE. [References: 26]

机译：对于给定的接近平衡点的多项式哈密顿量，程序GITA解析地计算笛卡尔直角的正常Birkhoff-Gustavson形式以及角作用坐标和运动的形式积分。这些量以截尾幂级数的形式表示，其最高程度决定了近似程度。该程序针对由瓦共振条件限制的哈密顿量执行修正的正常Birkhoff-Gustavson形式的计算。程序包写在计算机代数系统REDUCE中。 [参考：26]

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《Computer physics communications》 |1995年第3期|共14页
作者
Basios V.; Markovski BL.; Rostovtsev VA.; Vinitsky SI.; Chekanov NA.;
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正文语种 eng
中图分类计算机的应用;
关键词
Computer algebra; Hamiltonian; Normal birkhoff-gustavson form; Integral of motion; Canonical transformation; Homogeneous polynomial; Algebraic equation; Reduce; Gustavson normal-form; Quantization;

机译：计算机代数;哈密顿量;正态birkhoff-gustavson形式;运动积分;典范变换;齐次多项式;代数方程;化简;Gustavson形式;量化;

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专利

1. GITA - A REDUCE PROGRAM FOR THE NORMALIZATION OF POLYNOMIAL HAMILTONIANS [J] . Basios V., Markovski BL., Rostovtsev VA., Computer physics communications . 1995,第2a3期

机译：GITA-多项式哈密顿数归一化的简化程序
2. A Comparison of Algorithms for the Normalization and Quantization of Polynomial Hamiltonians [J] . A. A. Gusev, N. A. Chekanov, V. A. Rostovtsev, Programming and Computer Software . 2004,第2期

机译：多项式哈密顿量的归一化和量化算法的比较
3. A universal procedure for normalizing n-degree-of-freedom polynomial Hamiltonian systems [J] . Gutierrez-Romero S, Palacian JF, Yanguas P SIAM Journal on Applied Mathematics . 2005,第4期

机译：标准化n自由度多项式哈密顿系统的通用过程
4. Hamiltonian BVMs (HBVMs): A Family of "Drift Free" Methods for Integrating polynomial Hamiltonian problems' [C] . Luigi Brugnano, Felice Iavernaro, Donato Trigiante International Conference on Numerical Analysis and Applied Mathematics . 2009

机译：Hamiltonian BVMS（HBVM）：一系列“免费”方法，用于整合多项式哈密顿问题的方法
5. Green's operator for Hamiltonians with Coulomb plus polynomial potentials [D] . Hyder, Asif M. 2012

机译：具有库仑加多项式势的哈密顿量的格林算子
6. Trade off between variable and fixed size normalization in orthogonal polynomials based iris recognition system [O] . R. Krishnamoorthi, G. Anna Poorani -1

机译：基于虹膜识别系统的正交多项式在可变和固定大小归一化之间进行权衡
7. Polynomial similarity transformation theory: A smooth interpolation between coupled cluster doubles and projected BCS applied to the reduced BCS Hamiltonian [O] . Degroote, M., Henderson, T. M., Zhao, J., 2016

机译：多项式相似性变换理论：耦合簇对和投影BCS之间的平滑插值应用于简化的BCS哈密顿量

GITA - A REDUCE PROGRAM FOR THE NORMALIZATION OF POLYNOMIAL HAMILTONIANS

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