Density of states: If L is large, states are very close together.

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Presentation transcript:

Density of states: If L is large, states are very close together. Approximate as a continuum. E+dE energy E How many states? Number of states with energy between E and E + dE Number of states with energy between E and E + dE per volume.

kz ky kx Density of states: Easier first to think of in k-space: Density of states in k-space is uniform: One state per (p/L)3: kx ky kz

Density of states: Easier first to think of in k-space: Density of states in k-space is uniform: One state per (p/L)3: From Verdeyen

kz ky kx Density of states: Number of states between k, k+dk: From Verdeyen

Volume of spherical shell =4pk2dk/8 8 is for upper right quadrant Number of states in volume= Volume x States/volume States/volume = 1 / (p/L)3: HW you will do calculation for 2 dimensional world.

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