Exponential decay of eigenfunctions and generalized eigenfunctions of a non self-adjoint matrix Schrödinger operator related to NLS

2007/03/22 by Dirk Hundertmark, Hundertmark, Dirk, Young-Ran Lee +1
Mathematics · Physics and Astronomy · #35B20 #35B40 #35P30 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #math-ph #math.AP #math.MP #msc:35B20 #msc:35B40 #msc:35P30

paper · pdf · doi:10.48550/arxiv.math-ph/0703068

16 pages

arxiv created 2007/03/22 · openalex publication_date 2007/03/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the decay of eigenfunctions of the non self-adjoint matrix operator \calH = (\beginsmallmatrix -Δ+μ+U & W \W & Δ-μ-U \endsmallmatrix), for μ>0, corresponding to eigenvalues in the strip -μ<\re E <μ.

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