Algebras of Invariant Differential Operators on Unit Sphere Bundles Over Two-Point Homogeneous Riemannian Spaces
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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
KeywordsCommutator Relation Isometry Group Riemannian Space Independent Element Algebra DiffI
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