Método generalizado de la matriz de transferencia (Mgmt); método de las funciones de Green de superficie (Mfgs), relaciones y aplicaciones en sistemas semiconductores periódicos
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Authors
Vargas Beltrán, Jhon Henry
Director
Content type
Trabajo de grado - Maestría
Document language
EspañolPublication date
2013
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Abstract
El M´etodo Generalizado de la Matriz de Transferencia (MGMT) aparece como una alternativa de investigaci´on a los fen´omenos cu´anticos dentro de materiales semiconductores. En el presente trabajo el (MGMT) es aplicado a los fen´omenos de propagaci´on de una part´ıcula a trav´es de un pozo y una barrera de potencial para el caso cu´antico, deduciendo las relaciones de las amplitudes de dispersi´on mediante los coeficientes de la matriz de transferencia (transmisi ´on y reflexi´on). Luego se compara el (MGMT) con el M´etodo de las Funciones de Green de Superficie (MFGS) encontrando las relaciones en los sistemas estudiados. Los resultados te´oricos obtenidos son comparados con montajes experimentales an´alogos a pozos y barreras de potencial (casos ´opticos) para as´ı determinar la veracidad y el alcance del (MGMT), el cual a saber puede ser aplicado al estudio de muchos otros problemas de propagaci´on de ondas y electrones.
Abstract. The Generalized Method of Transfer Matrix (GMTM) appears as a research alternative to quantum phenomena in semiconductor materials. In this paper the (GMTM) is applied to the phenomena of propagation of a particle through a well and a potential barrier to the quantum case, deducing relations scattering amplitudes by the coefficients of the transfer matrix (transmission and reflection). Then we compare the (GMTM) with Method of the Green’s Functions Surface (SGFM) finding relationships in the systems studied. The theoretical results obtained are compared with experimental setups similar to wells and potential barriers (optical cases) in order to determine the veracity and scope the (GMTM), which namely can be applied to study many other problems of propagation of waves and electrons.
Abstract. The Generalized Method of Transfer Matrix (GMTM) appears as a research alternative to quantum phenomena in semiconductor materials. In this paper the (GMTM) is applied to the phenomena of propagation of a particle through a well and a potential barrier to the quantum case, deducing relations scattering amplitudes by the coefficients of the transfer matrix (transmission and reflection). Then we compare the (GMTM) with Method of the Green’s Functions Surface (SGFM) finding relationships in the systems studied. The theoretical results obtained are compared with experimental setups similar to wells and potential barriers (optical cases) in order to determine the veracity and scope the (GMTM), which namely can be applied to study many other problems of propagation of waves and electrons.