Problem 1: Photon Emission
An electron in the n = 4 state of a 5 nm wide infinite square well makes a transition to the ground state,
giving off energy in the form of a photon. What is the photon’s wavelength?
Problem 2: The First Excited State
Consider a particle of mass m in the first excited state of an infinite square well.
(a) Where is the particle most likely to be found?
(b) What is the probability that the particle would be found in the middle third of the well? How does
this compare with the classical expectation? Why?
Problem 3: Analyzing Wave Functions
A particle of mass m is in a state described by the (time-independent) wave function
(x) =
2a3=2xe
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