Using your results for Problems P18.11, 17, 29, and 32, calculate the uncertainties in t...

Using your results for Problems P18.11, 17, 29, and 32, calculate the uncertainties in the position and momentum for the ground state (n = 0) and first two excited states (n = 1 and n = 2) of the quantum harmonic oscillator. Compare your results with the predictions of the Heisenberg uncertainty principle.

Reference problem 18.11

Evaluate the average of the square of the linear momentum of the quantum harmonic oscillator for the ground state (n = 0) and first two excited states (n = 1 and n = 2). Use the hint about evaluating integrals in Problem P18.12.