𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Oscillation theory and the density of states for the Schrödinger operator in odd dimension

✍ Scribed by Russell Johnson


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
844 KB
Volume
92
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On the bound state of Schrödinger operat
✍ M. Klaus 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 723 KB

Under certain conditions on the potential a one-dimensional Schradinger operator has a unique bound state in the limit of weak coupling while under other conditions no bound state is present in this limit. This question is investigated for potentials obeying s (1 + ] x I) I V(x)1 dx < ~0. An asympto

The bound state of weakly coupled Schröd
✍ Barry Simon 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 443 KB

We study the unique bound state which (-d2/dx2) + hV and -A + XV (in two dimensions) have when A is small and V is suitable. Our main results give necessary and sufficient conditions for there to be a bound state when h is small and we prove analyticity (resp. nonanalyticity) of the energy eigenvalu

Unique continuation for Schrödinger oper
✍ Izabella Łaba 📂 Article 📅 1988 🏛 John Wiley and Sons 🌐 English ⚖ 619 KB

## Communicated by E. Meister In this paper we consider the unique continuation property for Schrodinger operators and its application for proving the non-existence of positive eigenvalues (embedded in the continuous spectrum). We also use the estimate given by Jerison and Kenig9 to prove unique c