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The ground state energy of Schrödinger operators

Gesztesy, F. and Graf, G. M. and Simon, B. (1992) The ground state energy of Schrödinger operators. Communications in Mathematical Physics, 150 (2). pp. 375-384. ISSN 0010-3616.

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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|.

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Simon, B.0000-0003-2561-8539
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.
Issue or Number:2
Record Number:CaltechAUTHORS:20180313-152512594
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Official Citation:Gesztesy, F.; Graf, G. M.; Simon, B. The ground state energy of Schrödinger operators. Comm. Math. Phys. 150 (1992), no. 2, 375--384.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85288
Deposited By: Ruth Sustaita
Deposited On:13 Mar 2018 22:49
Last Modified:03 Oct 2019 19:29

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