Triangular quantum profiles: transmission probability and energy spectrum
Altuğ Arda · TURKISH JOURNAL OF PHYSICS · 2017
Analytical expressions for the transition probability and the energy spectrum of the 1D Schrödinger equation with position-dependent mass are presented for the triangular quantum barrier and quantum well. The transmission coefficient is obtained by using the wave functions written in terms of Airy's functions and of the solutions of Kummer's differential equation. In order to show the validity of our analysis, an example by taking some numerical values for a GaAs heterostructure is presented.