This quantity is added to (*) V in the definition of the Hamiltonian, and its average value for particles in a gas is equal to three-haves times Boltzmann's constant times the temperature.
In time-of-flight mass spectrometry, this quantity is equalized between each fragment before analysis. In the Thomas-Fermi type of density functional theories, this quantity is calculated using functionals of the electron density. The quantum mechanical operator corresponding to this quantity is the negative h-bar squared over two m times the Laplacian. This quantity is added to (*) V in the definition of the Hamiltonian, and its average value for particles in a gas is equal to three-haves times Boltzmann's constant times the temperature. The change in this quantity is equal to the work done according to one theorem, and when analyzing a falling object it is common to set this equal to the change in gravitational potential energy. For 10 points, name this quantity which for a classical mass m moving with velocity v is given by one half m v squared.
In time-of-flight mass spectrometry, this quantity is equalized between each fragment before analysis.
kinetic energy [accept T or K throughout]