Show that in a parabolic potential well, the spacing between the energy levelsis constant. In semiconductors, parabolic potential wells are often produced byusing narrow square potential wells where the well to barrier width ratio graduallychanges. Use the virtual crystal approximation to design a GaAs/AlAs parabolicwell where the level spacing for the electron is approximately 8meV. (Hint: This isthe harmonic oscillatorproblem

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.26P
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Show that in a parabolic potential well, the spacing between the energy levelsis constant. In semiconductors, parabolic potential wells are often produced byusing narrow square potential wells where the well to barrier width ratio graduallychanges. Use the virtual crystal approximation to design a GaAs/AlAs parabolicwell where the level spacing for the electron is approximately 8meV. (Hint: This isthe harmonic oscillatorproblem.)

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