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Unformatted text preview: ..), respectively. Also, the potential energy, Ep, is constant everywhere inside the well. Assuming the side-lengths of the box are large, derive an expression for the density of states (S(E)) for the particle. This problem is covered both in Pierret and in our text, Appendix D. 10. (4.3, Pierret - reference) Link Here a, b, and c are equivalent to Lx, Ly, and Lz in our text. Part a is refering to the form of the solution for the energy levels (and wavefunctions) for this problem - is it the same here or different? Obviously the numbers are different, but is the form of the equations the same? Part b. is referring to how you would count the solutions up. This will be a hybrid of the 2-D and 3-D solutions. In d. the idea is to plot both the 3-D and the "2.5-D" solutions on the same axes for comparison. What you should see is that the 2.5-D result will approach the 3-D result as the third dimension (c or Lz) increases....
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This note was uploaded on 03/22/2012 for the course ECE G201 taught by Professor Nm during the Spring '11 term at Northeastern.
- Spring '11