The range of validity for several Pade-formulae for thermodynamic functions is checked in comparison with most recently available numerical data. Landscapes of maximum deviation are plotted. Application to symmetrical electron-positron and electron-hole plasmas is performed. An evaluation of the critical data for the droplet transition in semiconductors is given.

Abstract

Pade-Approximationen für das Elektronengas und für symmetrische Elektron-Loch-Plasmen

Der Gültigkeitsbereich verschiedener Pade-Formeln wird anhand neuester numerischer Daten geprüft. Fehlerlandschaften werden gegeben. Als eine mögliche Anwendung werden die kritischen Daten für Elektron-Positron-Plasmen und für symmetrische Elektron-Loch-Plasmen in Halbleitern berechnet.

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Volume500, Issue8

1988

Pages 529-538

Pade-Approximants for the Electron Gas and for Symmetrical Plasmas^†

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Pade-Approximants for the Electron Gas and for Symmetrical Plasmas^†