Recent content by madorangepand

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    Density of States Homework: Show $\rho=Vk^{2}/\pi^{2}$

    Thank you, multiplying by the the factor (2s+1) where s=1/2 was what I needed. I thought I had the next parts but I was incorrect. b)Hence show that the total kinetic energy of a non-relativistic gas of N electrons at T=0 is E=(V/5\pi2)(2me/\hbar2)3/2EF5/2 c)Furthermore show that Ef...
  2. M

    Black body radiation entropy question

    Thanks guys, I knew it was just staring me in the face.
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    Density of States Homework: Show $\rho=Vk^{2}/\pi^{2}$

    Homework Statement According to the non-relativistic quantum mechanics of a particle of mass m in a cubic box ov volume V = L3, the single particle energy levels are given by Ek=\hbar2k2/2m where k is the magnitude of the wavevector K = (kx,ky,kz) and where the components of k are...
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    Black body radiation entropy question

    Homework Statement An evacuated container with volume V and at a temperature T contains black body radiation with an energy density equal to 4\sigmaT4/c I Determine the heat capacity at constant volume of the radiation II Hence show that the entropy of the radiation is given by...