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- Students are placed in small groups and will use the “Electron States in a 1-Dimensional Lattice” program to model a single electron in a periodic array of square well potentials.
- The groups will convince themselves that the program is correctly simulating periodic potential wells by finding the eigenenergies of a single potential well system and checking one or more values using the energy eigenvalue equation.
- Each group will then add more potential wells to the quantum system and answer several questions about key differences from the single well system.
- The class will investigate how changing certain parameters of the system (potential well depth, width, spacing, etc) will change the energy eigenvalues for the system.
- Students will explore how increasing the number of potential wells affects the density of states for the electron in the periodic landscape.