Time-dependent realization of the infinite-dimensional hydrogen algebra

被引：2

作者：

Daboul, J ^{[1
]}

Winternitz, P

机构：

[1] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada

[2] Ben Gurion Univ Negev, Dept Phys, IL-84105 Beer Sheva, Israel

来源：

PHYSICS LETTERS A | 2001年 / 282卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Runge-Lenz vector; time-dependent Hamiltonians; super-integrable Hamiltonians; Kac-Moody algebras; Kepler equation;

D O I：

10.1016/S0375-9601(01)00166-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use the Hamiltonian formalism to investigate the Katzin-Levine model of a time-dependent Kepler problem. This formalism enables us to define Lie products in terms of Poisson brackets and obtain a time-dependent realization of centerless twisted (or standard) Kac-Moody algebras of so(N + 1), We also show that the classical solutions of the model are modulated conic sections and derive a generalized Kepler equation for the time dependence. (C) 2001 Published by Elsevier Science B.V.

引用

页码：163 / 168

页数：6

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