CHEM 132B Study Guide - Quiz Guide: Momentum Operator, Linear Combination, Symmetric Function
Document Summary
Encircle all that are true: a set of eigenfunctions must be normalized otherwise the eigenfunctions are not orthogonal. False: operators that correspond to real observables are hermitian. True: operators that correspond to real observables must commute with the. False: any wavefunction can be expressed as a linear combination of eigenfunc- tions of a given operator that form a complete set. An electron is moving along the x-axis against a background where v (x) = 0. (x) = aeikx + be ikx: give an expression for the energy of the electron as a function of k. 2m: a measurement reveals that the electron was moving to the right (toward increasing x values) with a speed of v = 5. 00 105 m/s. Determine the (numerical) value for k and the actual form of the electron"s wavefunction. Particle moves to the right, so wavefunction is (x) = aeikx, with mo- mentum h i.
