This operator’s commutator with an operator A times i over h-bar equals the time derivative of A’s expectation value minus the expectation value of A’s time derivative in the Heisenberg picture. This quantity’s Poisson bracket with a constant of motion equals zero. If this quantity is time-independent, then the time evolution operator equals this quantity’s exponential. This quantity’s operator on the wavefunction is i h-bar times the wavefunction’s time derivative in the time-dependent Schrodinger equation, while its time-independent form sets this quantity’s operator on psi equal to “E psi.” The Legendre transform of the Lagrangian equals this quantity, which is minimized at the ground state. For 10 points, what quantity is the sum of the “potential” and “kinetic” forms of a quantity measured in joules? ■END■
ANSWER: Hamiltonian [or total energy; prompt on energy or H; reject “potential energy” or “kinetic energy”]
<Physics>
= Average correct buzz position