✦ LIBER ✦

Cordes Algebras Based on Schrödinger Operators with Rapidly Increasing Potentials

✍ Scribed by Houshang H. Sohrab

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 239 KB
Volume: 207
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5315

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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

WKB Asymptotic Behavior of Almost All Ge

WKB Asymptotic Behavior of Almost All Generalized Eigenfunctions for One-Dimensional Schrödinger Operators with Slowly Decaying Potentials

✍ Michael Christ; Alexander Kiselev 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 192 KB

We prove the WKB asymptotic behavior of solutions of the differential equation &d 2 uÂdx 2 +V(x) u=Eu for a.e. E>A where V=V 1 +V 2 , V 1 # L p (R), and V 2 is bounded from above with A=lim sup x Ä V(x), while V$ 2 (x) # L p (R), 1 p<2. These results imply that Schro dinger operators with such poten