Abstract
Usually when one calculates the eigenvalues Ej(α) of a Hamiltonian H = HO + αV, Ej(O) being known, one attempts a Taylor expansion: Ej(α) = Ej(O) + α Ej!(O)+... Unfortunately, even when this series converges, there is no garanty that the first few terms will be close to Ej(α). For instance, if Ej(α) is a rapidly oscillating function, a linear or parabolic approximation will evidently not be very good. However, for the ground state this cannot happen because of the
Abstract given at XIV. Internationale Universitätswochen für Kernphysik, Schladming,Austria,February 24–March 7, 1975.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
W. Thirring, Acta Physica Austr. Suppl. XI, 493 (1973).
T.K. Rebane, Opt. Spec. (USSR) 34, 488 (1973).
A. Weinstein, W. Stenger, Intermediate Problems for Eigenvalues, Academic Press, New York (1972).
W. Thirring, Vorlesungen über Mathematische Physik, T7.
H. Narnhofer, W. Thirring, Acta Physica Austr. 1975, Festschrift für P. Urban.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1975 Springer-Verlag
About this paper
Cite this paper
Thirring, W. (1975). Convexity Properties of Coulomb Systems. In: Urban, P. (eds) Electromagnetic Interactions and Field Theory. Acta Physica Austriaca Supplementum XIV, vol 14/1975. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8424-0_15
Download citation
DOI: https://doi.org/10.1007/978-3-7091-8424-0_15
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-8426-4
Online ISBN: 978-3-7091-8424-0
eBook Packages: Springer Book Archive