This article is cited in 21 papers

Construction of reflectionless potentials with infinite discrete spectrum

A. Degasperis^a, A. B. Shabat<sup>b

a</sup> University of Rome "La Sapienza"
^b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: We investigate the one-dimensional Schrödinger operator. The condition that the potential be self-similar under Darboux transformation leads to transparent potentials with infinitely many eigenvalues.

Received: 04.02.1994

 English version: Theoretical and Mathematical Physics, 1994, 100:2, 970–984

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