𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Wave operators for the Schrödinger equation with strongly singular short-range potentials

✍ Scribed by Yu. A. Semenov

Publisher
Springer
Year
1977
Tongue
English
Weight
220 KB
Volume
1
Category
Article
ISSN
0377-9017

No coin nor oath required. For personal study only.

✦ Synopsis

We use a semigroup positivity preserving to prove asymptotic completeness of the wave operators in many cases when they exist.

📜 SIMILAR VOLUMES

Commutation methods for Schrödinger oper
Commutation methods for Schrödinger operators with strongly singular potentials
✍ Aleksey Kostenko; Alexander Sakhnovich; Gerald Teschl 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 200 KB

## Abstract We explore the connections between singular Weyl–Titchmarsh theory and the single and double commutation methods. In particular, we compute the singular Weyl function of the commuted operators in terms of the original operator. We apply the results to spherical Schrödinger operators (al

On spectral theory for Schrödinger opera
On spectral theory for Schrödinger operators with strongly singular potentials
✍ Fritz Gesztesy; Maxim Zinchenko 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 439 KB

## Abstract We examine two kinds of spectral theoretic situations: First, we recall the case of self‐adjoint half‐line Schrödinger operators on [__a__ , ∞), __a__ ∈ ℝ, with a regular finite end point __a__ and the case of Schrödinger operators on the real line with locally integrable potentials, wh