... Find the Brillouin zone for a 2D honeycomb lattice (lattice parameter d) and transform it into a hexagon. ... Compare the energies and the RMS charge radii electrons, in units of e). 1 2 (r )d3 x thus obtained ((x) is the total charge density of two 4. Find the density profile n(r) for an atom with the nucleus charge -Z e using the Thomas Fermi equation. ... Introducing the wavefunction (x) containing the low-energy degrees of freedom, find the effective wave equation for it. ...
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