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On resonance properties of scattering amplitude for Schrödinger equation with trapping potential

✍ Scribed by A. A. Arsen'ev

Book ID
112684494
Publisher
SP MAIK Nauka/Interperiodica
Year
1995
Tongue
English
Weight
869 KB
Volume
104
Category
Article
ISSN
0040-5779

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✍ Ricardo Weder 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 286 KB

In this paper I prove a L p &L p estimate for the solutions to the one-dimensional Schro dinger equation with a potential in L 1 # where in the generic case #>3Â2 and in the exceptional case (i.e., when there is a half-bound state of zero energy) #>5Â2. I use this estimate to construct the scatterin