Nonrelativistic hydrogen type stability problems on nonparabolic 3-manifolds
From MaRDI portal
Publication:1937032
DOI10.1007/s00023-012-0167-yzbMath1261.81111arXiv1203.4064OpenAlexW2037591602MaRDI QIDQ1937032
Publication date: 11 February 2013
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.4064
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Global Riemannian geometry, including pinching (53C20) Green's functions for elliptic equations (35J08) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items (5)
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 ⋮ Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from below ⋮ Kato’s inequality and form boundedness of Kato potentials on arbitrary Riemannian manifolds ⋮ Heat kernels in the context of Kato potentials on arbitrary manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On generalized Schrödinger semigroups
- Coulomb systems on Riemannian manifolds and stability of matter
- On the parabolic kernel of the Schrödinger operator
- Bloch theory and quantization of magnetic systems
- Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds
- Perturbation of Dirichlet forms by measures
- The Stability of Matter in Quantum Mechanics
- Symmetric Green's Functions on Complete Manifolds
- THE KERNEL OF DIRAC OPERATORS ON ${\mathbb S}^3$ AND ℝ3
- Kato’s inequality and form boundedness of Kato potentials on arbitrary Riemannian manifolds
This page was built for publication: Nonrelativistic hydrogen type stability problems on nonparabolic 3-manifolds