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Variational functions of the padé type—application to the ground state of the helium atom

✍ Scribed by P. Jolly; R. P. Saxena; P. K. Srivastava; K. V. Sane

Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
277 KB
Volume
18
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

It is shown that trial functions involving Padé approximants yield satisfactory results for the ground state of the helium atom. In particular, the five‐parameter form reproduces the best variational function of the type Ψ = e^–zs^ϕ(u) obtained numerically, to a remarkable extent.

📜 SIMILAR VOLUMES

Slater transform functions. Application
Slater transform functions. Application to the helium atom ground state
✍ D.D. Shillady 📂 Article 📅 1969 🏛 Elsevier Science 🌐 English ⚖ 260 KB

Slater transform functions have been used variationally to approximate the helium atom ground state. The results are significantly betl:r than either a scaled gaussian or x scaled exponential and the energy is very close to the Hartree-Fock value.

Explicitly correlated Gaussian functions
Explicitly correlated Gaussian functions with r factors for calculations of the ground state of the helium atom
✍ Zhenghong Zhang; Ludwik Adamowicz 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 400 KB

Explicitly correlated Gaussian functions with $ ; exp( -P62) factors have been used in variational calculations of the ground state of the helium atom. Additional correlation factors in the form of even powers of rii were introduced to the Gaussian functions with exponential correlation components b