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Brackets to the eigenvalues of the schrödinger equation, Part 2. Partial tridiagonalization of bandmatrices

✍ Scribed by E. Weltin

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
205 KB
Volume
5
Category
Article
ISSN
0020-7608

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📜 SIMILAR VOLUMES

Brackets to the eigenvalues of the Schrö
Brackets to the eigenvalues of the Schrödinger equation, part 1. Tridiagonal matrices
✍ E. Weltin 📂 Article 📅 1970 🏛 John Wiley and Sons 🌐 English ⚖ 525 KB

## Abstract The problem of upper and lower bounds to the first few eigenvalues of a very large or infinite tridiagonal matrix **H** is studied. Those eigenvalues of a comparison‐matrix **M**~**__n__**~ which are lower than a characteristic limit, together with the corresponding eigenvalues of the v

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✍ J.W. Neuberger; D.W. Noid 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 267 KB

A method is proposed and tested for the quantum mechanical calculation of eigenvalues for a hamiltonian consisting of three coupled oscillators. The agreement of eisenvalues with a large variational calcularion is excellenr.

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Numerical calculation of eigenvalues for the Schrödinger equation. III
✍ J. W. Neuberger; D. W. Noid 📂 Article 📅 1987 🏛 John Wiley and Sons 🌐 English ⚖ 276 KB

A recently developed method for calculation of eigenvalues is applied to a four coupled oscillator system previously used to test more approximate methods. Analysis is presented to show how the present method scales for systems of two, three, and four coupled oscillator systems.