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8: Potenciales centrales

Última actualización

30 oct 2022
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- 7.E: Momentum Angular Orbital (Ejercicios)
- 8.1: Derivación de la Ecuación Radial

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En este capítulo, investigaremos la interacción de una partícula no relativista de masa $m$ y energía $E$ con diversos llamados potenciales centrales $V(r)$ , donde $r=(x^{\,2}+y^{\,2}+z^{\,2})^{1/2}$ está la distancia radial desde el origen. Por supuesto, lo más conveniente es trabajar en coordenadas esféricas— $r$ $\theta$ ,, $\phi$ —durante tal investigación. (Ver Sección [s8.3].) Así, estaremos buscando funciones de onda estacionarias, $\psi(r,\theta,\phi)$ , que satisfagan la ecuación de Schrödinger independiente del tiempo (ver Sección [sstat])\ [\ label {e9.1} H\,\ psi = E\,\ psi,\] donde el hamiltoniano toma la forma estándar no relativista\ [\ label {e9.2} H =\ frac {p^ {\ ,2}} {2\, m} + V (r).\]

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