The classical Taub-Nut system: factorization, spectrum generating algebra and solution to the equations of motion

Latini Danilo; Ragnisco Orlando

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The classical Taub-Nut system: factorization, spectrum generating algebra and solution to the equations of motion

机译：经典的Taub-Nut系统：分解，频谱生成代数和运动方程的解

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The formalism of SUperSYmmetric quantum mechanics (SUSYQM) is properly modified in such a way to be suitable for the description and the solution of a classical maximally superintegrable Hamiltonian system, the so-called Taub-Nut system, associated with the Hamiltonian:

机译：SUPERSYmmetric量子力学（SUSYQM）的形式主义经过适当修改，以适合于描述和解决与哈密顿量相关的经典最大超积分哈密顿量系统，即所谓的Taub-Nut系统：

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《Journal of physics, A. Mathematical and theoretical》 |2015年第17期|共13页
作者
Latini Danilo; Ragnisco Orlando;
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正文语种 eng
中图分类物理学;
关键词
Kepler-Coulomb potential; superintegrability; spectrum generating algebras; deformation; SUSYQM;

机译：开普勒-库仑势;超可积性;谱代数;形变;SUSYQM;

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专利

1. The classical Taub-Nut system: factorization, spectrum generating algebra and solution to the equations of motion [J] . Latini Danilo, Ragnisco Orlando Journal of physics, A. Mathematical and theoretical . 2015,第17期

机译：经典的Taub-Nut系统：分解，频谱生成代数和运动方程的解
2. Equations of motion for a spectrum-generating algebra: Lipkin-Meshkov-Glick model [J] . Rosensteel G, Rowe DJ, Ho SY Journal of physics, A. Mathematical and theoretical . 2008,第2期

机译：产生谱的代数的运动方程：Lipkin-Meshkov-Glick模型
3. Equilibrium points of classical integrable particle systems, factorization of wave functions of their quantum analogs and polynomial solutions of the hill equation [J] . Inozemtsev VI Regular & chaotic dynamics . 2008,第6期

机译：经典可积粒子系统的平衡点，其量子类似物的波函数分解和希尔方程的多项式解
4. 'Spectrum generating algebras' of classical systems: the Kepler-Coulomb potential [C] . S. Kuru, J. Negro International Conference on Quantum Theory and Symmetries . 2011

机译：古典系统的“频谱产生代数”：开普勒 - 库仑势
5. THE STRUCTURAL ANALYSIS AND SOLUTION OF LARGE SYSTEMS OF ALGEBRAIC DESIGN EQUATIONS. [D] . BOOK, NEIL LARRY. 1976

机译：代数设计方程大系统的结构分析和求解。
6. Analytical solutions for systems of partial differential–algebraic equations [O] . Brahim Benhammouda, Hector Vazquez-Leal -1

机译：偏微分-代数方程组的解析解
7. Dynamical Equations, Invariants and Spectrum Generating Algebras of Mechanical Systems with Position-Dependent Mass? [O] . Sara Cruz, Y Cruz, Oscar Rosas-ortiz 2016

机译：具有位置依赖质量的机械系统的动力学方程，不变量和谱生成代数？
8. Numerical Solution of Differential/Algebraic Equations of Motion of Deformable Mechanical Systems with Nonholonomic Constraints. [R] . Rismantab-Sany, J., Shabana, A. A. 1989

机译：具有非完整约束的变形力学系统微分/代数运动方程的数值解。

The classical Taub-Nut system: factorization, spectrum generating algebra and solution to the equations of motion

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