Long Range Electron Density Oscillations at Non-zero Temperatures

The form of the electron density surrounding a spherically symmetric defect in a Fermi gas at non-zero temperature is calculated. At large distances and moderate temperatures the density decay contains a factor (π k F k T /2 E F ) csch(π k T / E F ) k F r and reduces at zero temperature to the well-known inverse cube dependence of amplitude on distance.