Estimates of the resolvent for a diatomic molecule in the Born-Oppenheimer approximation (Q1290999)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Estimates of the resolvent for a diatomic molecule in the Born-Oppenheimer approximation |
scientific article; zbMATH DE number 1295344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates of the resolvent for a diatomic molecule in the Born-Oppenheimer approximation |
scientific article; zbMATH DE number 1295344 |
Statements
Estimates of the resolvent for a diatomic molecule in the Born-Oppenheimer approximation (English)
0 references
6 October 1999
0 references
The author studies the quantum Hamiltonian describing a diatomic molecule, in the Born-Oppenheimer limit where the mass of the nuclei becomes large. Under various assumptions on the electronic levels (in particular non-trapping conditions) an estimate on the boundary value of the resolvent is proven. The result is also extended to the Dirac operator.
0 references
Born-Oppenheimer approximation
0 references
limiting absorption principle
0 references
Mourre estimates
0 references
