𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A perturbed generalized eigenvalue equation for the hydrogen molecular ion

✍ Scribed by M. R. Woodward

Publisher
John Wiley and Sons
Year
1972
Tongue
English
Weight
279 KB
Volume
6
Category
Article
ISSN
0020-7608

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The SchrΓΆdinger equation for the hydrogen molecular ion is written as a perturbed united atom which is then treated as a generalized eigenvalue equation. The ground state energy is calculated through third order for small internuclear distances.

πŸ“œ SIMILAR VOLUMES

A perturbed generalized eigenvalue equat
A perturbed generalized eigenvalue equation for the helium atom
✍ C. Laughlin; A. T. Amos πŸ“‚ Article πŸ“… 1970 πŸ› John Wiley and Sons 🌐 English βš– 427 KB

## Abstract The SchrΓΆdinger equation for helium is written as a generalized eigenvalue equation and this is solved perturbatively for the ground state. The zero order equation is taken to be that of a β€œsix‐dimensional hydrogen atom” since, in generalized eigenvalue form, this has a discrete spectru

Generic simplicity of the eigenvalues fo
Generic simplicity of the eigenvalues for a supported plate equation
✍ Marcone C. Pereira πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 288 KB

In this work, we show that the eigenvalues of the problem \[ \begin{cases}\left(\Delta^{2}+V(x)+\lambda\right) u(x)=0 & x \in \Omega \\ u(x)=\Delta u(x)=0 & x \in \partial \Omega\end{cases} \] are generically simple in the set of \(\mathcal{C}^{4}\) regular regions of \(\mathbb{R}^{n}, n \geq 2\).