International Journal of Theoretical Physics

, Volume 36, Issue 12, pp 2953–2961 | Cite as

Analytic solutions of the Schrödinger equation for the modified quartic oscillator

  • L. Skála
  • J. Dvořák
  • V. Kapsa


No analytic solutions of the Schrödinger equation are known for the quartic anharmonic oscillator. We show in this paper that there are closely related modified quartic oscillators with the potential depending on |x| for which analytic solutions for some states exist. These results can be extended to the higher order oscillators


Wave Function Potential Versus Physical Review Schr6dinger Equation Potential Coefficient 
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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • L. Skála
    • 1
  • J. Dvořák
    • 1
  • V. Kapsa
    • 1
  1. 1.Faculty of Mathematics and PhysicsCharles UniversityPrague 2Czech Republic

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