One dimensional discrete Schrödinger operators with resonant embedded eigenvalues

2022/07/01 by Wencai Liu, Liu, Wencai, Kang Lyu +1
Mathematics · #34D10 #34L15 #34L40 #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2207.00194

openalex publication_date 2022/07/01 · openalex created_date 2022/07/06 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce a new family of functions to construct Schrödinger operators with embedded eigenvalues. This particularly allows us to construct discrete Schrödinger operators with arbitrary prescribed sets of eigenvalues.

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