Darboux transformation for the discrete Schrodinger equation

The discrete Schrodinger equation on a half-line lattice with the Dirichlet boundary condition is considered when the potential is real valued, is summable, and has a finite first moment. The Darboux transformation formulas are derived from first principles showing how the potential and the wave...

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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 2019-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/112/abstr.html