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Padé approximants to physical properties via inner projections

✍ Scribed by O. Goscinski; E. Brändas; B. Laskowski; P. Van Leuven; W. Th. A. M. Van Der Lugt

Publisher
John Wiley and Sons
Year
1973
Tongue
English
Weight
76 KB
Volume
7
Category
Article
ISSN
0020-7608

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📜 SIMILAR VOLUMES

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A perturbation procedure for arbitrary many electron systems, which incorporates Pad6 approximants and inner projections, has been developed within the configuration interaction framework. The metioci is illustrated by an application to the hydrogen molecule.

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Let \(\psi\) be a finite positive measure on \(\mathbf{R}\), and let \(F_{\psi}(z)=\int_{-x}^{x}(d \psi(t) /(z-t))\) be its Stieltjes transform. A special multipoint Padé approximation problem for \(F_{\psi}(z)\) is studied, where the interpolation points are a finite number of points \(a_{1}, \ldot

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✍ Ragnar Ahlberg 📂 Article 📅 1977 🏛 John Wiley and Sons 🌐 English ⚖ 187 KB

## Abstract Generalized inner projections to dynamic polarizabilities, α~__A__~ (__i__ω), are shown to give bounds to dispersion coefficients, __C__~__AB__~, which are improved as the dimensionality of the projections is increased. Error bounds in the regular half‐planes of α~__A__±~(ω) are found f