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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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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?
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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