1. Potential Well Examine the bound state wave functions in a 1-D potential well. Show the wavefunctions and energy eigenstates through visualization. a) In a square well, describe the stationary state wave function for different eigenstates and explain its variations with total energy. b) Change the depth of the potential and describe the change in the wavefunction or probability density. c) Change the width of the potential and describe the changes in the wavefunction or probability density.
1. Potential Well Examine the bound state wave functions in a 1-D potential well. Show the wavefunctions and energy eigenstates through visualization. a) In a square well, describe the stationary state wave function for different eigenstates and explain its variations with total energy. b) Change the depth of the potential and describe the change in the wavefunction or probability density. c) Change the width of the potential and describe the changes in the wavefunction or probability density.
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Transcribed Image Text:1. Potential Well
Examine the bound state wave functions in a 1-D potential well. Show the wavefunctions and
energy eigenstates through visualization.
a) In a square well, describe the stationary state wave function for different eigenstates and
explain its variations with total energy.
b) Change the depth of the potential and describe the change in the wavefunction or
probability density.
c) Change the width of the potential and describe the changes in the wavefunction or
probability density.
d) Compare the structures of the finite square well, harmonic oscillator, and Coulomb
potentials. What appears to be the likely cause for the differences between the energy level
structures of the different potentials?
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