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Particle in a Central Field on Two-Point Homogeneous Spaces

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Part of the Lecture Notes in Physics book series (LNP,volume 707)

Abstract

In this chapter we consider the one-body problem in a central potential on two-point homogeneous Riemannian spaces. In Sect. 6.1 we prove its noncommutative integrability for such spaces different from constant curvature spaces.

Keywords

  • Hamiltonian Function
  • Hyperbolic Plane
  • Poisson Algebra
  • Kepler Problem
  • Euclidean Case

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  • DOI: 10.1007/3-540-35386-0_6
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© 2006 Springer

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Shchepetilov, A.V. (2006). Particle in a Central Field on Two-Point Homogeneous Spaces. In: Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces. Lecture Notes in Physics, vol 707. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-35386-0_6

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