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Quantum Scattering with the Driven Schrödinger Approach and Complex Scaling

✍ Scribed by Nils Elander; Mikhail Volkov; Åsa Larson; Michael Stenrup; J. Zsolt Mezei; Evgeny Yarevsky; Sergey Yakovlev

Publisher
Springer Vienna
Year
2009
Tongue
English
Weight
149 KB
Volume
45
Category
Article
ISSN
0177-7963

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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