Triangular quantum profiles: transmission probability and energy spectrum

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Arda A.

TURKISH JOURNAL OF PHYSICS, cilt.41, sa.1, ss.72-80, 2017 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.3906/fiz-1607-8
  • Dergi Adı: TURKISH JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.72-80
  • Hacettepe Üniversitesi Adresli: Evet

Özet

Analytical expressions for the transition probability and the energy spectrum of the 1D Schrdinger 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.