Round 8: Tossup 1

For a particle in a box, this quantity equals n-squared times pi-squared times h-bar-squared, all divided by 2 m L squared. This quantity is respectively raised and lowered by operators denoted a-plus and a-minus. This quantity is an eigenvalue of the time-independent Schrödinger equation, which states that this quantity times psi equals the Hamiltonian times psi. A form of the uncertainty principle relates the uncertainties of time (10[1])and this quantity. (10[1]-5[1])Max Planck postulated that a photon’s value of this quantity equals h times frequency. (10[2])This quantity is minimized in the ground state. For 10 points, what quantity (-5[1])can be divided into “kinetic” and (10[1])“potential” (10[2])forms? ■END■ (10[2])

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