Bound states of the discrete Schrodinger equation with compactly supported potentials

The discrete Schrodinger operator is considered on the half-line lattice $n\in \{1,2,3,\dots\}$ with the Dirichlet boundary condition at $n=0$. It is assumed that the potential belongs to class $\mathcal{A}_b$, i.e. it is real valued, vanishes when n>b with b being a fixed positive integer, a...

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Bibliographic Details
Main Authors: Tuncay Aktosun, Abdon E. Choque-Rivero, Vassilis G. Papanicolaou
Format: Article
Language:English
Published: Texas State University 2019-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/23/abstr.html