Resonant States of a One-Dimensional Piecewise Constant Potential

Gregory I. Gellene ^[1]
1. [1] Texas Tech University
  
  Texas Tech University
  
  Estados Unidos
Localización: Journal of chemical education, ISSN 0021-9584, Vol. 72, Nº 11 (November), 1995, págs. 1015-1018
Idioma: inglés
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Resumen
- General expressions for the one-dimensional quantum mechanical wave functions of a particle confined to a half plane containing a potential barrier are developed and used to illustrate the properties of shape resonance states. For a particular choice of potential parameters, explicit numerical examples are presented emphasizing (1) the method of locating resonance states by the energy dependent phase change of the asymptotic wave function and (2) the comparison of resonance state properties to those of more familiar bound state wave functions.