Schrödinger Operators with Exactly Solvable Potentials

  • D. M. Gitman
  • I. V. Tyutin
  • B. L. Voronov
Part of the Progress in Mathematical Physics book series (PMP, volume 62)


There exist eleven families of the so-called exactly solvable potentials for which the one-dimensional Schrödinger equation can be solved exactly. In this Chapter we construct all the corresponding self-adjoint Schrödinger operators and perform their spectral analysis.


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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • D. M. Gitman
    • 1
  • I. V. Tyutin
    • 2
  • B. L. Voronov
    • 2
  1. 1.Instituto de FísicaUniversidade de São PauloSão PauloBrasil
  2. 2.Department of Theoretical PhysicsP.N. Lebedev Physical InstituteMoscowRussia

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