This operator’s commutator with an operator A times i over h-bar equals the time derivative (10[1])of A’s expectation value minus the expectation value (10[1])of A’s time derivative (10[1])in the Heisenberg picture. (10[1])This quantity’s Poisson bracket with a (10[1])constant of motion equals zero. (-5[1])If this quantity is time-independent, then the time evolution (10[2])operator equals (10[2])this quantity’s (10[1])exponential. (10[2])This quantity’s operator on the wavefunction is i h-bar (-5[2])times (10[1])the wavefunction’s time (10[1]-5[1])derivative (10[1])in the time-dependent (10[1])Schrodinger equation, (10[2]-5[1])while its time-independent (10[1])form sets this quantity’s (10[2])operator on psi equal to “E psi.” (10[2])The Legendre transform of the Lagrangian (10[1])equals this quantity, (-5[1])which is minimized at the ground state. (10[2])For 10 (-5[1])points, what quantity (-5[1])is the sum (-5[1])of the “potential” (10[1])and “kinetic” (10[1]-5[1])forms (-5[2])of a (10[1])quantity measured in joules? (10[2])■END■ (10[8]0[8])