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Many-electron theory in the Waller–Hartree spin-free method

✍ Scribed by T. K. Lim

Publisher
John Wiley and Sons
Year
1976
Tongue
English
Weight
305 KB
Volume
10
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

A many‐electron theory is developed for the determination of pure spin state wave‐functions and energies to avoid the difficulties in doing integration. The Waller–Hartree pure spin state wave‐functions are very convenient for this purpose. The required explicit formulas for the values of the Waller–Hartree wave‐functions Y(S, M) and ℋ︁__Y__(S, M) at some physical points are produced, where local orthonormal orbitals are used to simplify the calculation of ℋ︁__Y__(S, M). A method for the construction of these orbitals is given, and a transformation formula is also given to show the interchangability between the local energy expression and the conventional expectation energy integral.

📜 SIMILAR VOLUMES

Spin densities in the Waller–Hartree spi
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✍ T. K. Lim 📂 Article 📅 1975 🏛 John Wiley and Sons 🌐 English ⚖ 197 KB

## Abstract Spin densities in the Waller–Hartree spin‐free method were found to be the same as in the spin‐projected Slater determinant method. The reduced spin projector **__Q__** is introduced and its relation with the spin projector **__P__** is discussed. An equation is obtained to show that a

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The general theory of three-electron Hylleraas-Configuration-Interaction method using linear correlation factors of the form r, has been implemented for molecular systems using Cartesian Gaussians as basis sets. A brief review of the theory and the form of the three-electron integrals is presented.