The spatial part of the ground state energy eigenfunction for a one - dimensional simple harmonic oscillator
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Question:
The spatial part of the ground state energy eigenfunction for a onedimensional simple harmonic oscillator is
Consider a quantum particle of mass that moves in two dimensions under the influence of a a spring force directed towards the origin, eg a simple harmonic oscillator potential SHO
a What is the Hamiltonian in this case? What is the timeindependent Schrdinger equation?
b Write down an expression for the spatial part of the groundstate energy eigenfunction, Show that it is correctly normalise.
c List the energies and degeneracies of the six lowestlying energy levels.
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