By modifying and generalizing some old techniques of N. Levinson, a uniqueness theorem is established for an inverse problem related to periodic and Sturm-Liouville boundary value problems for the matrix Schrödinger equation.
Vibration-inversion-rotation spectra of ammonia. The “inverse” eigenvalue problem for the one-dimensional Schrödinger equation
✍ Scribed by V. Špirko; J.M.R. Stone; D. Papoušek
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 596 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0022-2852
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📜 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
## Abstract In this paper we consider the inverse scattering problem for the non‐linear Schrödinger equation on the line \def\dr{{\rm d}}$$i{\partial\over\partial t}u(t,x)=‐{\dr^2\over\dr x^2}u(t,x)+V\_0(x)u(t,x)+\sum\_{j=1}^{\infty}V\_j(x)|u|^{2(j\_0+j)}u(t,x)$$\nopagenumbers\end We prove, unde