2) Use the trial wavefunction ø(r) Ne-ar?, where N and a are constants, in a variational calculation of the energy of the hydrogen atom, and determine the value of a that minimizes the variational energy. Compare this minimum value with the exact hydrogen atom ground state energy. Use atomic units. Is the variational energy too high or too low?
2) Use the trial wavefunction ø(r) Ne-ar?, where N and a are constants, in a variational calculation of the energy of the hydrogen atom, and determine the value of a that minimizes the variational energy. Compare this minimum value with the exact hydrogen atom ground state energy. Use atomic units. Is the variational energy too high or too low?
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Transcribed Image Text:2) Use the trial wavefunction ø(r) = Ne-ar², where N and a are constants, in a
variational calculation of the energy of the hydrogen atom, and determine the value of
a that minimizes the variational energy. Compare this minimum value with the exact
hydrogen atom ground state energy. Use atomic units. Is the variational energy too
high or too low?
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