𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On potentials for the Schrödinger equation

✍ Scribed by Ya. I. Zhitomirskii


Publisher
Springer US
Year
1995
Tongue
English
Weight
159 KB
Volume
77
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Lp−Lp Estimates for the Schrödinger Equa
✍ 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

Scattering for the forced non-linear Sch
✍ Ricardo Weder 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 173 KB

In this paper we construct the scattering operator for the forced non-linear Schr odinger equation with a potential on the half-line. Moreover, in the case where the force is zero, and the solutions satisfy the homogeneous Dirichlet boundary condition at zero, we prove that the scattering operator d