#8) Consider a) Find the density of states, g(k), for a particle in two dimensions (a 2-D box) b) Find the density of st

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8 Consider A Find The Density Of States G K For A Particle In Two Dimensions A 2 D Box B Find The Density Of St 1 (41.44 KiB) Viewed 24 times

#8) Consider a) Find the density of states, g(k), for a particle in two dimensions (a 2-D box) b) Find the density of states as a function of energy g(e) for a non-relativistic particle of mass m and n, spin states in two dimensions. c) Write an equation to find the mean energy for electrons (which are fermions with n=2) in two dimensions. There should be in integral in your final equation, leave the integral as it is without solving it. d) Now, write your equation for the mean energy in the semi-classical limit. Go ahead and solve for that integral at this point. Hint: ƒ xe¯ dx = 00 -ax a 0