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Lower and upper bounds to energies of radial lithium

✍ Scribed by D.W. Fox; V.G. Sigillito

Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
358 KB
Volume
13
Category
Article
ISSN
0009-2614

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πŸ“œ SIMILAR VOLUMES

New lower bounds for energies of radial
New lower bounds for energies of radial lithium
✍ D.W. Fox; V.G. Sigillito πŸ“‚ Article πŸ“… 1972 πŸ› Elsevier Science 🌐 English βš– 278 KB

This article reports further progress using ;I new method for determining lower bounds to energies of atomic systems with more than two ekctrons. Here we $ve new lower bounds for the lowest points of the continuous spectrum of rodin lithium.

Lower bound problems and bounds to atomi
Lower bound problems and bounds to atomic ionization energies
✍ M. G. Marmorino; J. C. Schug; C. A. Beattie πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 151 KB

A simple extension of a method by Calogero and Marchioro for constructing lower bound problems for ground states of systems of indistinguishable particles is applied to atomic systems. Their method is extended to yield an improved lower bound problem, which raises the ground-state estimate and yield

Obtaining upper bounds of heat kernels f
Obtaining upper bounds of heat kernels from lower bounds
✍ Alexander Grigorβ€²yan; Jiaxin Hu; Ka-Sing Lau πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 188 KB

## Abstract We show that a __near‐diagonal lower__ bound of the heat kernel of a Dirichlet form on a metric measure space with a regular measure implies an __on‐diagonal__ upper bound. If in addition the Dirichlet form is local and regular, then we obtain a __full off‐diagonal upper__ bound of the