Theoretical and Mathematical Physics

, Volume 100, Issue 2, pp 970–984 | Cite as

Construction of reflectionless potentials with infinite discrete spectrum

  • A. Degasperis
  • A. Shabat


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.


Discrete Spectrum Darboux Transformation Reflectionless Potential Transparent Potential Infinite Discrete Spectrum 
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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • A. Degasperis
  • A. Shabat

There are no affiliations available

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