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. (-5[1])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 and this (10[1])quantity. (-5[1])Max Planck postulated (-5[1])that a photon’s value of this quantity equals h times frequency. This quantity is minimized (-5[1])in the ground state. For 10 points, what quantity can be divided into “kinetic” and “potential” forms? (10[2])■END■ (10[2])

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