Write down the wave function for the first excited state of a particle in a one dimensional box of length L. Calculate x and px  for this state.

A Simple Model of the Nucleus Suppose a proton is confined to a box of width  (a typical nuclear radius). What are the energies of the ground and the first excited states? If the proton makes a transition from the first excited state to the ground state, what are the energy and the frequency of the emitted photon?

Strategy If we assume that the proton confined in the nucleus can be modeled as a quantum particle in a box, all we need to do is to use (Figure) to find its energies  and . The mass of a proton is  The ___ _______ __________ ________ ___ ______ ___ _____ _________ ___.
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