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Exactly Solvable Models for the Generalized Schrödinger Equation

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7125)

Abstract

The Darboux transformation operator technique is applied to the generalized Schrödinger equation. The procedure is used for constructing exactly solvable models. The influence of the distance between levels on the form of the potentials is investigated. In particular, symmetric and asymmetric double well and triple well potentials are generated.

Keywords

  • Generalized Schrödinger equation
  • Darboux transformations

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Suzko, A., Velicheva, E. (2012). Exactly Solvable Models for the Generalized Schrödinger Equation. In: Adam, G., Buša, J., Hnatič, M. (eds) Mathematical Modeling and Computational Science. MMCP 2011. Lecture Notes in Computer Science, vol 7125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28212-6_18

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  • DOI: https://doi.org/10.1007/978-3-642-28212-6_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28211-9

  • Online ISBN: 978-3-642-28212-6

  • eBook Packages: Computer ScienceComputer Science (R0)