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. https://resolver.caltech.edu/CaltechAUTHORS:20180313-152512594
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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|.
| Item Type: | Article | ||||||
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| 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 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180313-152512594 | ||||||
| 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.https://projecteuclid.org/euclid.cmp/1104251869 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 85288 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Ruth Sustaita | ||||||
| Deposited On: | 13 Mar 2018 22:49 | ||||||
| Last Modified: | 03 Oct 2019 19:29 |
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