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1. (a) Calculate the expectation values < x >, < p >, < x^2 > and < p^2 > for the ground state, | 0 >, and the first excited state, | 1 >, of the harmonic oscillator.
(b) Now compute Δ(x)Δ(p), does this satisfy the uncertainty principle?
2. Using the results from (1), find the expectation values of kinetic, <K> and potential energies, < V >, for the above states, and then that of the total energy, < E >. Are they what you would have expected?
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