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Spectral Theory for Slowly Oscillating Potentials II. Schrödinger Operators

✍ Scribed by G. Stolz

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
891 KB
Volume
183
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 spectrum. The absolutely continuous spectrum is determined by iterated diagonalization of transfer matrices to prove boundedness of eigensolutions.

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