1) Consider a trial wavefunction ó(r) = N e¯br for the estimation of the ground state energy of the hydrogen atom. (a) Calculate the variational energy W[ø] using the trial wavefunction ø(r). (b) To obtain the best result (that is, the one that is closest to the true ground state energy) minimize your result with respect to the parameter b. (c) How does your result in (b) compare with E1, the ground state of the hydrogen atom. Explain.
1) Consider a trial wavefunction ó(r) = N e¯br for the estimation of the ground state energy of the hydrogen atom. (a) Calculate the variational energy W[ø] using the trial wavefunction ø(r). (b) To obtain the best result (that is, the one that is closest to the true ground state energy) minimize your result with respect to the parameter b. (c) How does your result in (b) compare with E1, the ground state of the hydrogen atom. Explain.
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