Exercise 2.1-1 Free Electron Gas with Constant Boundary Conditions

Consider the free electron gas model but let the boundary conditions be: y(0) = y(L) = 0, i.e. we have fixed boundary conditions.
Derive the solution to the Schrödingerequation and the density of states for this case.
Show that the number of states is the same as for the periodic boundary conditions as given in the backbone
 
 

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go to 2.1.1 Essentials of the Free Electron Gas

go to Solution to Exercise 2.1-1 Free Electron Gas with Constant Boundary Conditions

go to Solution to 2.1-2: Density of States for Lower Dimensions

go to Solution to 2.3.5-1

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