Published August 2004
| Submitted
Journal Article
Open
Connectedness of the Isospectral Manifold for One-Dimensional Half-Line Schrödinger Operators
- Creators
- Gesztesy, Fritz
-
Simon, Barry
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.
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.Attached Files
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Additional details
- Eprint ID
- 79657
- Resolver ID
- CaltechAUTHORS:20170801-075355675
- DMS-0140592
- NSF
- Created
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2017-08-01Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field