ay45c5-page27 - θ θ A L L and you should then understand...

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Unformatted text preview: θ θ A L L and you should then understand the equations, " # " # 1 2p 1 2p p2 2 P = 3 A(2L=v ) = 3 A(2L=[p=m ]) = 1 ALm = 3 E 3 V e e e or P = 2E : 3V So from the previous discussion of 0 we know right away that P / 5=3. Another way to verify this and also get the constant in the relationship, is by substituting the above expression for E=V in terms of p5 , and also F substituting the earlier expression for p3 in terms of ne. The result is the F amazing universal formula 1  3 2=3 h2 n5=3 P = 20  m e (non-relativistic electrons). e Something di erent happens if the electron gas is so compressed that the Fermi momentum pF starts approaching mec (i.e. the electron velocity starts approaching c). Then, the above assumptions Ee = p2=(2me ) and ve = p=me start breaking down! In the extreme relativistic limit, the above calculation of P goes over to being exactly the same as we previously did for photons, so 1 P = 3E V ) 0 = 1 3 ) 139 4 =3 ) P / 4=3 : ...
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This note was uploaded on 12/29/2011 for the course AST 350 taught by Professor Dion during the Fall '09 term at SUNY Stony Brook.

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