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A perturbed generalized eigenvalue equation for the helium atom. II

✍ Scribed by M. R. Woodward; A. T. Amos; C. Laughlin

Publisher: John Wiley and Sons
Year: 1971
Tongue: English
Weight: 300 KB
Volume: 5
Category: Article
ISSN: 0020-7608
DOI: 10.1002/qua.560050404

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📜 SIMILAR VOLUMES

A perturbed generalized eigenvalue equat

A perturbed generalized eigenvalue equation for the helium atom

✍ C. Laughlin; A. T. Amos 📂 Article 📅 1970 🏛 John Wiley and Sons 🌐 English ⚖ 427 KB

## Abstract The Schrödinger 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 “six‐dimensional hydrogen atom” since, in generalized eigenvalue form, this has a discrete spectru

A generalized eigenvalue equation for th

A generalized eigenvalue equation for the hydrogen atom

✍ A.T. Amos; C. Laughlin; G.R. Moody 📂 Article 📅 1969 🏛 Elsevier Science 🌐 English ⚖ 270 KB

A perturbed generalized eigenvalue equat

A perturbed generalized eigenvalue equation for the hydrogen molecular ion

✍ M. R. Woodward 📂 Article 📅 1972 🏛 John Wiley and Sons 🌐 English ⚖ 279 KB

## Abstract The Schrödinger 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.

Generic simplicity of the eigenvalues fo

Generic simplicity of the eigenvalues for a supported plate equation

✍ Marcone C. Pereira 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 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 \(\mathbb{R}^{n}, n \geq 2\).

Improved error estimates for the perturb

Improved error estimates for the perturbed Galerkin method applied to a class of generalized eigenvalue problems

✍ Hans G. Kaper; Gary K. Leaf 📂 Article 📅 1979 🏛 Elsevier Science ⚖ 403 KB

A multigrid method for the generalized s

A multigrid method for the generalized symmetric eigenvalue problem: Part II—performance evaluation

✍ T. Hwang; I. D. Parsons 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 987 KB

## Abstract The behaviour of the multigrid method is studied by solving some simple test problems. Optimum choices for some of the parameters are discussed, together with effective techniques for solving the coarse mesh correction equation. The effects of ill‐conditioning on the performance of the