Because it requires averaging over time, the physical result of this name depends on the ergodicity theorem being true. In astrophysics, this result can be applied to deduce galactic mass from velocity dispersion and it explains the pulsating behavior of variable stars. In quantum mechanics, this result follows from the fact that the dot product of the position and momentum operators commutes with the Hamiltonian, and it also names an expansion in powers of z in thermodynamics. For 10 points, id
Because it requires averaging over time, the physical result of this name depends on the ergodicity theorem being true. In astrophysics, this result can be applied to deduce galactic mass from velocity dispersion and it explains the pulsating behavior of variable stars. In quantum mechanics, this result follows from the fact that the dot product of the position and momentum operators commutes with the Hamiltonian, and it also names an expansion in powers of z in thermodynamics. For 10 points, identify this physical theorem which states that the time average of the kinetic energy is minus two times that of the time average of the potential energy.
Because it requires averaging over time, the physical result of this name depends on the ergodicity theorem being true.
{virial} theorem