On Local Perturbations of SCHRÖdinger Operator on Plane

2002/08/17 by R. R. Gadyl'shin, R. R. Gadyl’shin, Gadyl'shin, R. R.
Mathematics · Physics and Astronomy · #35J10 #Differential Equations and Boundary Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #advanced mathematical theories #math-ph #math.MP #msc:35J10

paper · pdf · doi:10.48550/arxiv.math-ph/0208025

arxiv created 2002/08/17 · openalex publication_date 2002/08/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain necessary and sufficient conditions for emerging of small eigenvalue for Schrödinger operator on plane under local operator perturbations. In the case the eigenvalue emerges we construct its asymptotics. The examples are given.

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