For 10 points, name this quantity, the energy possessed by an object due to its motion.
In the Thomas-Fermi formalism, the density functional of this quantity is proportional to the integral of the electron density raised to the five-thirds power. In the one-dimensional free-particle Hamiltonian, the operator corresponding to this quantity is obtained from its classical analogue by replacing the square of the momentum with the second spatial derivative. For periodic motion in a gravitationally bound system, the virial theorem gives this quantity as minus one-half times the potential energy. For an ideal gas particle, it equals three-halves times Boltzmann's constant times temperature. When the mass is invariant and conditions are non-relativistic, this quantity is given by one-half times the mass times the velocity squared. For 10 points, name this quantity, the energy possessed by an object due to its motion.
In the Thomas-Fermi formalism, the density functional of this quantity is proportional to the integral of the electron density raised to the five-thirds power.
kinetic energy [prompt on partial answer, i.e. "energy", do not prompt on "potential energy"]