Ladder-Operator Treatment of the Radial Equation for the Hydrogenlike Atom

• Donald D. Fitts ^[1]
  1. [1] University of Pennsylvania

     University of Pennsylvania

     City of Philadelphia, Estados Unidos

     
• Localización: Journal of chemical education, ISSN 0021-9584, Vol. 72, Nº 12 (December), 1995, págs. 1066-1069
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • A new approach to the solution of the radial equation for the hydrogenlike atom is presented. Raising- and lowering-ladder operators are used to solve the radial differential equation for the eigenvalues and eigenfunctions, avoiding the series solution method with its problems concerning asymptotic behavior and convergence. Quantization of the energy levels and the generation of orthonormal eigenfunctions are obtained rigorously, without any arbitrary assumptions.