On a first integral of the Kepler problem

被引：1
|
作者：
Vivarelli, MD
机构：
[1] Dipartimento di Matematica, Politecnico di Milano
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1997年 / 38卷 / 09期
关键词：
D O I：
10.1063/1.532143
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A quadratic first integral of the Kepler problem, obtained by Benenti (''Orthogonal separable dynamical systems,'' 5th International Conference on Differential Geometry and its Applications, 24-28 August 1992, Silesian University at Opava) through separation in elliptic coordinates, is shown to be intimately connected with the pre-quantization of the Kepler manifold, thus acquiring a physical interpretation. (C) 1997 American Institute of Physics.
引用
收藏
页码：4561 / 4569
页数：9
相关论文
共 50 条
  • [41] On Conservative Discretization of the Kepler Problem
    Kozlov, Roman
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 1299 - 1302
  • [42] HIDDEN SYMMETRY OF KEPLER PROBLEM
    GYORGYI, G
    REVAI, J
    SOVIET PHYSICS JETP-USSR, 1965, 21 (05): : 967 - &
  • [43] REMARKS ON RELATIVISTIC KEPLER PROBLEM
    BIEDENHARN, LC
    PHYSICAL REVIEW, 1962, 126 (02): : 845 - &
  • [44] Quaternions and the perturbed Kepler problem
    Jörg Waldvogel
    Celestial Mechanics and Dynamical Astronomy, 2006, 95 : 201 - 212
  • [45] The Kepler problem in the Snyder space
    Leiva, Carlos
    Saavedra, Joel
    Villanueva, J. R.
    PRAMANA-JOURNAL OF PHYSICS, 2013, 80 (06): : 945 - 951
  • [46] Quantization of the linearized Kepler problem
    Guerrero, J
    Pérez, JM
    GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES, 2003, 173 : 545 - 548
  • [47] Quaternions and the perturbed Kepler problem
    Waldvogel, Joerg
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2006, 95 (1-4): : 201 - 212
  • [48] Dynamical symmetries of the Kepler problem
    Cariglia, Marco
    Araujo, Eduardo Silva
    EUROPEAN JOURNAL OF PHYSICS, 2013, 34 (05) : 1307 - 1316
  • [49] From Kepler problem to skyrmions
    Mazilu, Nicolae
    Agop, Maricel
    Gatu, Irina
    Iacob, Dan Dezideriu
    Ghizdovat, Vlad
    MODERN PHYSICS LETTERS B, 2016, 30 (13):
  • [50] RELATIVISTIC ANALOGUE OF KEPLER PROBLEM
    KUNZLE, HP
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1974, 11 (06) : 395 - 417
12345