Unformatted text preview: 24. Using Eq. 4020 (see also problem 27 in Chapter 40) we ﬁnd that the lowest four levels of the rectangular
corral (with this speciﬁc “aspect ratio”) are nondegenerate, with energies E1,1 = 1.25, E1,2 = 2.00,
E1,3 = 3.25, and E2,1 = 4.25 (all of these understood to be in “units” of h2 /8mL2 ). Therefore, obeying
the Pauli principle, we have
Eground = 2E1,1 + 2E1,2 + 2E1,3 + E2,1 = 2(1.25) + 2(2.00) + 2(3.25) + 4.25
which means (putting the “unit” factor back in) that the lowest possible energy of the system is Eground =
17.25(h2 /8mL2 ). ...
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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