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Published August 1969 | Published
Journal Article Open

On the Growth of the Ground‐State Binding Energy with Increase in Potential Strength

Abstract

We study the asymptotic behavior of the ground‐state binding energy G(λ) of −Δ + λV as λ → ∞. Unlike the number of bound states, G(λ) does not have a universal power growth as λ → ∞. It is shown, however, that as λ → ∞ for Kato potentials Aλ

Additional Information

© 1969 American Institute of Physics. (Received 7 February 1969) The author would like to thank M. Reed for an enlightening conversation on the nonpower growth of convex functions. This research partially sponsored under Air Force Office of Scientific Research under Contract AF49(638)-1545.

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August 19, 2023
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