Nonrelativistic hydrogen type stability problems on nonparabolic 3-manifolds

Abstract

We extend classical Euclidean stability theorems corresponding to the nonrelativistic Hamiltonians of ions with one electron to the setting of non parabolic Riemannian 3-manifolds.

20 pages; to appear in Annales Henri Poincare

References in corpus (1)

• Essential self-adjointness of Schroedinger type operators on manifolds

Cited by in corpus (4)

• Heat kernel estimates and the relative compactness of perturbations by potentials
• Hessian heat kernel estimates and Calderón-Zygmund inequalities on complete Riemannian manifolds
• Kac regular sets and Sobolev spaces in geometry, probability and quantum physics
• Path integrals and the essential self-adjointness of differential operators on noncompact manifolds