For 10 points, name this quantity with thermal, kinetic, and potential varieties.
This quantity can be written as a differential operator equal to v plus negative h bar squared over two m times the Laplacian. The differential of this quantity is equal to temperature times change in entropy minus pressure times change in volume. Force is the negative derivative of one form of this quantity, the change of which is net work. The impossibility of perpetual motion machines is equivalent to the conservation of this quantity by the first law of thermodynamics. For 10 points, name this quantity with thermal, kinetic, and potential varieties.
This quantity can be written as a differential operator equal to v plus negative h bar squared over two m times the Laplacian.
energy [accept Hamiltonian before "temperature"] &lt;SH&gt;