𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Schrödinger Operators in L2(R) with Pointwise Localized Potential

✍ Scribed by Ronan Pouliquen

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
102 KB
Volume
235
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The Periodic Schrödinger Operators with
The Periodic Schrödinger Operators with Potentials in the Morrey Class
✍ Zhongwei Shen 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 260 KB

We consider the periodic Schro¨dinger operator ÀD þ VðxÞ in R d ; d53 with potential V in the Morrey class. Let O be a periodic cell for V: We show that, for p 2 ððd À 1Þ=2; d=2; there exists a positive constant e depending only on the shape of O; p and d such that, if lim sup r!0 sup x2O r 2 1 jBðx

Microlocalization, Percolation, and Ande
Microlocalization, Percolation, and Anderson Localization for the Magnetic Schrödinger Operator with a Random Potential
✍ Wei-Min Wang 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 480 KB

We study the spectral properties of the magnetic Schro dinger operator with a random potential. Using results from microlocal analysis and percolation, we show that away from the Landau levels, the spectrum is almost surely pure point with (at least) exponentially decaying eigenfunctions. Moreover,