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Triangular quantum profiles: transmission probability and energy spectrum
2017
Journal:  
Turkish Journal of Physics
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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.

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Turkish Journal of Physics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 1.313
Cite : 223
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Turkish Journal of Physics