International Journal of Theoretical Physics

, Volume 36, Issue 8, pp 1893–1905 | Cite as

A transformation method of generating exact analytic solutions of the Schrödinger equation

  • S. A. S. Ahmed
Article
Received:

Abstract

A transformation method is presented which consists of a coordinate transformation and a functional transformation that allow generation of normalized exact analytic bound-state solutions of the Schrödinger equation, starting from an analytically solved quantum problem. The coordinate transformation is the basic transformation, which is supplemented by the functional transformation so that one can choose the dimension of the space of the transformed system. By repeated application of the method, it is possible to generate a number of solved quantum problems in the case that the original quantum system has a multiterm potential. It is shown that the eigenfunction of the transformed system can be easily normalized in most cases.

Keywords

Harmonic Oscillator Coordinate Transformation Physical Review Exact Analytic Solution SchrOdinger Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • S. A. S. Ahmed
    • 1
  1. 1.Department of PhysicsGauhati UniversityGawahatiIndia

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