Quantum Gelfand-Levitan equations for the multicomponent nonlinear Schrödinger model with supermatrices
✍ Scribed by Yu-Kui Zhou; Bao-Heng Zhao
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 174 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
We consider the Schrödinger equation in R 3 with nonlinearity concentrated in a finite set of points. We formulate the problem in the space of finite energy V , which is strictly larger than the standard H 1 -space due to the specific singularity exhibited by the solutions. We prove local existence