Kinetic Energy Density of Electron Cloud

Kinetic Energy Density of Electron Cloud.—Again we apply Fermi gas relations locally. The probability of finding an electron at r with momentum of magnitude between p and p+dp is 

Equation (18) is again simply the kinetic energy density of a uniform Fermi gas, but now applied locally to the electron cloud at position r. The total kinetic energy T is given by 

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