A Remark on Coefficients of Jacobi Matrices Arising from a Schrodinger\n Operator

2012/03/18 by Armen Vagharshakyan, Vagharshakyan, Armen
Computer Science · Mathematics · #47A25 #47B36 #Algebraic and Geometric Analysis #FOS: Mathematics #Mathematical Analysis and Transform Methods #Matrix Theory and Algorithms #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1203.4005

openalex publication_date 2012/03/18 · openalex created_date 2022/09/06 · openalex updated_date 2026/07/28

Abstract

A discrete analogue of a Schrodinger type operator proposed by J. Bellissard\nhas a singular continuous spectrum. In this remark we answer the conjecture\nformulated by D. Bessis, M. Mehta and P. Moussa on the coefficients of that\noperator. It turns out that the coefficients have a more complicated behavior\nthan it was conjectured.\n

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