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Unformatted text preview: g ( F ).] Although temperatures of milidegrees Kelvin can be reached, at which F / k B T 10 8 , when N is of order 10 22 then f is still neglibly small. Solution: (a) When k B T << F , from Eq. (2.78), we have F 2 F B F 2 3 1 1 T k (1) and F F 2 3 g n . (2) Thus, F F 1 g V (3) Q.E.D. 2 (b) The probability change of the energy level occupied only happens near the Fermi level. . 1 6 1 1 1 1 1 B F B 2 B B N T k Vg T k e e f f f F T k T k (4) Q.E.D....
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This note was uploaded on 10/04/2011 for the course PHYS 4720 taught by Professor Shan during the Fall '09 term at Rensselaer Polytechnic Institute.
 Fall '09
 Shan
 Solid State Physics

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