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Calculate and plot the electron density of states for an isotropic metal with free electrons in 3 dimensions. Calculate and plot the electron density of

  1. Calculate and plot the electron density of states for an isotropic metal with free electrons in 3 dimensions.
  2. Calculate and plot the electron density of states for a 2D isotropic metal with free electrons in 2 dimensions.
  3. Graphene has a linear electron dispersion (
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