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math.FA2022
Additional numerical and graphical evidence to support some Conjectures on discrete Schrödinger operators with a more general long range condition
Sylvain Golénia, Marc-Adrien Mandich
This document contains additional numerical and graphical evidence to support some of the conjectures mentioned in \cite{GM3}. We give more evidence for in dimension 2. As…
math.FA2022
Thresholds and more bands of a.c. Spectrum for the discrete Schr{ö}dinger operator with a more general long range condition
Sylvain Golénia, Marc-Adrien Mandich
We continue the investigation of the existence of absolutely continuous (a.c.) spectrum for the discrete Schrödinger operator on , in dimensions , for…
math.FA2010★ 42 cited
The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs
Sylvain Golénia, Christoph Schumacher
The number of self-adjoint extensions of a symmetric operator acting on a complex Hilbert space is characterized by its deficiency indices. Given a locally finite unoriented simple…