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Consider the free electron gas model but let the boundary conditions be: y(0) = y(L) = 0, i.e. we have fixed boundary conditions. | |
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Derive the solution to the Schrödingerequation and the density of states for this case. | |
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Show that the number of states is the same as for the periodic boundary conditions as given in the backbone | |
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Link to the solution |
2.1.1 Essentials of the Free Electron Gas
Solution to Exercise 2.1-1 Free Electron Gas with Constant Boundary Conditions
Solution to 2.1-2: Density of States for Lower Dimensions
© H. Föll (Semiconductors - Script)