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Published 1992 | public
Journal Article

The ground state energy of Schrödinger operators

Abstract

We study e(λ) = inf spec ( - Δ + λV) and examine when e(λ) < 0 for all λ ╪ 0. We prove that - cλ^2 ≤ e(λ) ≤ - dλ^2 for suitable V and all small |λ|.

Additional Information

© 1992 Springer-Verlag. Received April 30, 1992; in revised form June 8, 1992. One of us (F.G.) would like to thank H. Holden for discussions and G. Neugebauer and D. Wales for the hospitality extended by Caltech during a month's stay in the summer of 1991.

Additional details

Created:
August 20, 2023
Modified:
October 18, 2023