Problems and Solutions on Thermodynamics and Statistical Mechanics

(Ann) #1
Statiaticd PhyJics 235

where kg is Boltzmann’s constant. The stationary one-particle wavefunc-
tion is


where E = A2k2/2m. Thus we obtain


,a k.( r- r’) - hak’/8rr’mk~ T
k

p = 0 when the temperature T passes from T > T, to T < T,, hence


When r -+ 00, we have approximately


mkgT, 1
27rA2 r

w ___-.

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