A limiting absorption principle for Schrödinger operators with generalized Von Neumann-Wigner potentials II. The proof

Peter Rejto, Mario Taboada

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

In this series of papers we prove the limiting absorption principle over a given interval for a class of Hamiltonians which contains the original one of von Neumann and Wigner. More specifically, the Hamiltonians are of the form -Δ+csinb|x|/|x|β+V(x), where 2/3<β≤1,V(x) is a short range potential and I is a given compact subinterval of the open positive axis which does not contain the pointb2/4.

Original languageEnglish (US)
Pages (from-to)311-336
Number of pages26
JournalJournal of Mathematical Analysis and Applications
Volume208
Issue number2
DOIs
StatePublished - Apr 15 1997

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