hw10 - PHYS 333 Winter 2009 Assignment 10 Due: 5:00 pm...

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PHYS 333 Winter 2009 Assignment 10 Due: 5:00 pm Friday April 17 1. Schroeder 7.16 A system of N (spinless) identical fermions has equally spaced energy levels which are all non-degenerate. (That is, each level holds only one fermion.) At low temperatures, it is useful to represent each state of the system by a column of dots, where a filled dot represents an occupied level, and an open dot represents an un-occupied level. At low temperatures, all states below a certain level are occupied, and are not shown on the dot-diagram. Suppose that the spacing between the levels is η , and that q is the number of energy units over and above the ground-state energy U 0 . That is, the (internal) energy is U = U 0 + . The figure shows all possible states for 0 q 3. r r r r r r r r r r r r r r r r r r r r r r r r r r r r b b b b b b b b b b b b b b b b b b b b b b b b b b b b p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p q = 0 1 2 3 (a) Draw dot-diagrams for
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This note was uploaded on 04/11/2010 for the course PHYS 333 taught by Professor Harris during the Winter '09 term at McGill.

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hw10 - PHYS 333 Winter 2009 Assignment 10 Due: 5:00 pm...

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