Method of converting schrodinger equation for heterostructures with a positon-dependent effective mass to the equation with a position-independent effective mass and its appliations

이종 구조에서 위치의 함수로 표시된 효과질량을 포함하는 Schrodinger 방정식을 위치에 무관한 효과질량을 포함하는 방정식으로 변환하는 방법 및 그 응용

a simpel coordinate transformaton method is suggested that converts Schr$\"{o}$dinger's equation involving a position-dependent effective mass in a heterostructure to an equation involving a positon-independent effective mass. This method enables the conceptual study of the effect of the positon-dependent effective mass inserted between the divergence operator and the gradient operator in Schr$\"{o}$dinger's equation. It is also shown that the characteristics such as a transmission coefficient in various heterostructures involving a position-dependent effective masses can be obtained iwth ease by the suggested method.