CONSTRUCTION OF REFLECTIONLESS POTENTIALS WITH INFINITE DISCRETE SPECTRUM

Authors
DEGASPERIS A SHABAT A
Citation
A. Degasperis et A. Shabat, CONSTRUCTION OF REFLECTIONLESS POTENTIALS WITH INFINITE DISCRETE SPECTRUM, Theoretical and mathematical physics, 100(2), 1994, pp. 970-984
Citations number
9
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
100
Issue
2
Year of publication
1994
Pages
970 - 984
Database
ISI
SICI code
0040-5779(1994)100:2<970:CORPWI>2.0.ZU;2-H
Abstract
We investigate the one-dimensional Schrodinger operator. The condition that the potential be self-similar under Darboux transformation leads to transparent potentials with infinitely many eigenvalues.