𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Schrödinger Operators with Rapidly Oscillating Potentials

✍ Scribed by Itaru Sasaki


Publisher
SP Birkhäuser Verlag Basel
Year
2007
Tongue
English
Weight
167 KB
Volume
58
Category
Article
ISSN
0378-620X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


The Lyapunov Exponents for Schrödinger O
✍ Barry Simon; Yunfeng Zhu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 521 KB

By studying the integrated density of states, we prove the existence of Lyapunov exponents and the Thouless formula for the Schro dinger operator &d 2 Âdx 2 +cos x & with 0<&<1 on L 2 [0, ). This yields an explicit formula for these Lyapunov exponents. By applying rank one perturbation theory, we al

Spectral Theory for Slowly Oscillating P
✍ G. Stolz 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 891 KB

## Abstract The absolutely continuous and singular spectrum of one‐dimensional Schrödinger operators with slowly oscillating potentials and perturbed periodic potentials is studied, continuing similar investigations for Jacobi matrices from [14]. Trace class methods are used to locate the singular