Abstract
In this chapter we study the algebra DiffI (QS) of invariant differential operators on the unit sphere bundle QS over a two-point homogeneous Riemannian space Q. Namely we construct a system of generators and relations for these algebras. These generators will appear in Chap. 5 in explicitly invariant expressions of two-body Hamiltonian operators H on the space Q. On the other hand, the center of the algebra DiffI (QS) commutes with H, i.e., it consists of integrals for the quantum two-body problem on Q
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this chapter
Cite this chapter
Shchepetilov, A.V. (2006). Algebras of Invariant Differential Operators on Unit Sphere Bundles Over Two-Point Homogeneous Riemannian 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_3
Download citation
DOI: https://doi.org/10.1007/3-540-35386-0_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35384-3
Online ISBN: 978-3-540-35386-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)