A limiting absorption principle for Schrödinger operators with generalized Von Neumann-Wigner potentials I. Construction of approximate phase

Peter A Rejto, Mario Taboada

Research output: Contribution to journalArticle

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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 point b2/4.

Original languageEnglish (US)
Pages (from-to)85-108
Number of pages24
JournalJournal of Mathematical Analysis and Applications
Volume208
Issue number1
DOIs
StatePublished - Apr 1 1997

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