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

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

2012-03-18

arxiv.org/abs/1203.4005v1

Mathematics

Spectral Theory

Scientific paper

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

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