For 10 points, name this operator that is said to generate time translations and corresponds to the total energy of a system.
The time derivative of the Wigner function is proportional to its Moyal bracket with the Wigner transform of this quantity. The von Neumann equation relates the time derivative of the matrix operator with its commutator with this quantity. When this quantity is time-dependent, the time translation operator is given by the Dyson series. The existence of a unitary operator that commutes with this operator gives rise to degeneracy. The time derivative of the wave-function is proportional to this operator applied to the wavefunction according to the Schrödinger equation. For 10 points, name this operator that is said to generate time translations and corresponds to the total energy of a system.
The time derivative of the Wigner function is proportional to its Moyal bracket with the Wigner transform of this quantity.
Hamiltonian [prompt on H]