Darboux Transformation for The Schrödinger Equation


Ünlü M.

Celebration of Life – Acad. Prof. Constantin Corduneanu, Virtual Mini-Symposium, California, United States Of America, 26 July 2021, pp.3

  • Publication Type: Conference Paper / Full Text
  • City: California
  • Country: United States Of America
  • Page Numbers: pp.3

Abstract

A Darboux transformation changes the discrete spectrum of a differential operator without changing its continuous spectrum. In this talk a unified approach is presented for the Darboux transformation for the Schrödinger equation. It is shown how the potential and the wave function are transformed when bound states are added to or removed from the discrete spectrum.