𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Regularity and asymptotic properties of the discrete spectrum of electronic hamiltonians

✍ Scribed by J. M. Combes; R. Seiler

Publisher
John Wiley and Sons
Year
1978
Tongue
English
Weight
759 KB
Volume
14
Category
Article
ISSN
0020-7608

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We analyze the electronic part of diatomic molecular Hamiltonians as a function of the internuclear distance, x. We prove analyticity outside x β‰  0 of eigenvalues in the discrete spectrum and differentiability up to second order for the associated projection operators. Furthermore, it is shown that for large internuclear distances they converge to eigenvalues and eignprojectors of the separated atoms.

πŸ“œ SIMILAR VOLUMES

Asymptotic Properties of HPD Regions in
Asymptotic Properties of HPD Regions in the Discrete Case
✍ Judith Rousseau πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 361 KB

This paper obtains asymptotic expansions of the frequentist distributions of modified likelihood ratio statistics when the observations are discrete. An upper bound of the uncertainty due to the discrete nature of the observations is obtained, which is slightly larger than Yarnold's result (obtained