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Bounds for energies of radial lithium

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Summary

This article presents the first application of a new method for lower bounds to eigenvalues of operators of the kind that describe the energies of atoms and ions. We consider radial models of these atoms and carry out a detailed analysis for radial lithium. The calculations yield the required displacement of essential spectra and give lower bounds where all other methods fail.

Zusammenfassung

Es wird in vorliegender Arbeit die erste Anwendung einer neuen Methode für untere Schranken auf Eigenwerte von solchen Operatoren, die die Energien von Atomen und Ionen beschreiben, dargelegt. Wir betrachten Radialmodelle dieser Atome und führen eine eingehende Analyse für Radiallithium durch. Die Rechnungen ergeben die erforderliche Verschiebung wesentlicher Spektren und liefern untere Grenzen, während alle anderen Methoden erfolglos bleiben.

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Authors and Affiliations

  1. Applied Physics Laboratory, The Johns Hopkins University, Silver Spring, Maryland, USA

    David W. Fox & Vincent G. Sigillito

Authors
  1. David W. Fox
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  2. Vincent G. Sigillito
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Additional information

This work has been supported by the Department of the Navy, Naval Ordnance Systems Command under Contract Number N00017-72-C-4401.

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Fox, D.W., Sigillito, V.G. Bounds for energies of radial lithium. Journal of Applied Mathematics and Physics (ZAMP) 23, 392–411 (1972). https://doi.org/10.1007/BF01595480

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  • DOI: https://doi.org/10.1007/BF01595480

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