Remarks on Schrödinger operators with an electric field and deterministic potentials

Matania Ben-Artzi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Let H0 = - d2 dx2 + F · x, H = H0 + V be Schrödinger operators on the line, where F ≠ 0 is a real constant and V a real potential. The case where V is unbounded and non-smooth is studied. It is shown that for a large class of potentials H is purely absolutely continuous and in fact unitarily equivalent to H0.

Original languageEnglish
Pages (from-to)333-339
Number of pages7
JournalJournal of Mathematical Analysis and Applications
Volume109
Issue number2
DOIs
StatePublished - 1 Aug 1985
Externally publishedYes

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