Gesztesy, Fritz and Simon, Barry (2004) Connectedness of the Isospectral Manifold for One-Dimensional Half-Line Schrödinger Operators. Journal of Statistical Physics, 116 (1-4). pp. 361-365. ISSN 0022-4715. doi:10.1023/B:JOSS.0000037217.89500.b3. https://resolver.caltech.edu/CaltechAUTHORS:20170801-075355675
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Abstract
Let V_0 be a real-valued function on [0,∞) and V ∈ L^1 ([0,R]) for all R > 0 so that H(V_0)=− d^2/dx^2+V_0 in L^2([0,∞)) with u(0)=0 boundary conditions has discrete spectrum bounded from below. Let M(V_0) be the set of V so that H(V) and H(V_0) have the same spectrum. We prove that MM (V_0) is connected.
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| Additional Information: | © 2004 Plenum Publishing Corporation. Received June 27, 2003; accepted August 20, 2003. B.S. is supported in part by NSF Grant DMS-0140592. | |||||||||||||||
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| Subject Keywords: | Isospectral sets of potentials; half-line Schrödinger operators; inverse problems. | |||||||||||||||
| Issue or Number: | 1-4 | |||||||||||||||
| DOI: | 10.1023/B:JOSS.0000037217.89500.b3 | |||||||||||||||
| Record Number: | CaltechAUTHORS:20170801-075355675 | |||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170801-075355675 | |||||||||||||||
| Official Citation: | Gesztesy, F. & Simon, B. Journal of Statistical Physics (2004) 116: 361. https://doi.org/10.1023/B:JOSS.0000037217.89500.b3 | |||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||||||||
| ID Code: | 79657 | |||||||||||||||
| Collection: | CaltechAUTHORS | |||||||||||||||
| Deposited By: | Ruth Sustaita | |||||||||||||||
| Deposited On: | 01 Aug 2017 15:25 | |||||||||||||||
| Last Modified: | 15 Nov 2021 17:49 |
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