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.
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页码：163 / 168
页数：6
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