Quiz 5 solutions

Quiz 5 solutions - Quiz#5 Physics2203:Nov.12th.Name box En...

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Quiz #5 Physics 2203: Nov. 12 th . Name Fermi surface in an infinite one dimensional box. E n = π n ( ) 2 2 mL 2 (a) (3 pts) We want to put 5 electrons into this well. Draw in the first few states and put your five electrons into states that form the lowest energy configuration obeying the Pauli principle. Two electrons in the first state with energy E 1 = ( ) 2 / 2 mL 2 The next two electrons go into the second level with energy E 2 = 4 ( ) 2 / 2 mL 2 The last electron goes into the third level with E 3 = 9 ( ) 2 / 2 mL 2 (b) (2 pts) What is the value of the Fermi energy? The Fermi Energy is at E F = 9 ( ) 2 / 2 mL 2 (c) (3pts) Now make the box smaller by reducing L. What is the change in the Fermi
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