For 10 points, name this quantity denoted E which comes in "kinetic" and "potential" forms.
The dynamic phase factor for a particle undergoing an adiabatic process equals minus one over h-bar times the time integral of this quantity. This quantity is negative for the bound-state solution of the Dirac delta well. For a finite well, the wavefunction outside the well transitions from evanescent to oscillatory as this quantity increases past the well depth. This quantity equals one-half times h-bar times omega for the ground state of the (*) quantum harmonic oscillator. The eigenvalues of the time-independent SchrÃ¶dinger equation correspond to this quantity, which is represented in quantum mechanics by the Hamiltonian. The first law of thermodynamics states the conservation of this quantity, which equals mgh plus one-half mv squared for an object in free fall. For 10 points, name this quantity denoted E which comes in "kinetic" and "potential" forms.
The dynamic phase factor for a particle undergoing an adiabatic process equals minus one over h-bar times the time integral of this quantity.
total energy 