On stationary solutions of the Schrödinger equation with a self-consistent potential satisfying boussinesq's equation
✍ Scribed by V.G. Makhankov
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 192 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0375-9601
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## Abstract We are interested in the asymptotic behavior of solutions of a Schrödinger‐type equation with oscillating potential which was studied by A. Its. Here we use a different technique, based on Levinson's Fundamental Lemma, to analyze the asymptotic behavior, and our approach leads to a comp
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