Published

2011-01-01

SOLUCIÓN DE LA ECUACIÓN DE SCHRÖDINGER PARA POTENCIALES UNI-DIMENSIONALES USANDO EL MÉTODO DE LA MATRIZ DE TRANSFERENCIA

SOLUTION OF SCHRÖDINGER'S EQUATION USING THE TRANSFER MATRIX METHOD FOR ONE-DIMENSIONAL POTENTIALS

Keywords:

Matriz de Transferencia, Pozo y Barrera de Potencial, Coeficientes Transmisión y Reflexión. (es)
Transfer Matrix, Potential Well and Barrier, Transmission and Reflection (en)

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Authors

  • Jhon H. Vargas Universidad Nacional de Colombia
  • Raúl E. Castiblanco Universidad Nacional de Colombia
  • Maicol Cárdenas Universidad Nacional de Colombia
  • John Morales Universidad Nacional de Colombia y Centro Internacional de Física
El Método generalizado de Matriz de Transferencia (MMT) aparece como una alternativa de investigación a los fenómenos cuánticos dentro de materiales semiconductores y componentes opto electrónicos. En el presente trabajo el MMT es aplicado a los fenómenos de propagación de una partícula a través de un pozo o una barrera de potencial para el caso cuántico, deduciendo las relaciones de las amplitudes de dispersión mediante los coeficientes de la matriz de transferencia (transmisión y reflexión). Los resultados obtenidos son comparados con literatura relacionada, para así  determinar la veracidad y el alcance de el MMT, el cual a saber puede ser aplicado al estudio de muchos otros problemas de propagación de ondas y electrones, incluso en medios estratificados como cristales fotónicos.
The Generalized Method of Transfer Matrix (MMT) appears as an alternative to quantum phenomena research in semiconductor materials and optoelectronic components.
In this paper the MMT is applied to the propagation phenomena of a particle through a well or a potential barrier to the quantum case. The relations scattering amplitudes are deduced using the coefficients of the transfer matrix (transmission and reflection). The results are compared with related literature, to determine the accuracy and scope of the MMT, namely which can be applied to study many other problems of wave propagation and electrons, even in layered media as photonic crystals.

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