Triangular quantum profiles: transmission probability and energy spectrum

Authors : Altuğ ARDA

Pages : 72-80

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :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.
Keywords : Heterostructure, quantum well, quantum barrier, tunneling, semiconductor