d. Confirm that the state o(x) obeys the uncertainty relation for potential and kinetic energy given by σ7σv ≥ |(4₁(x) | ½ [Î,V]| 40(x))|. 2i 1. The following questions will relate to the Harmonic Oscillator with the following Hamiltonian in a system of natural units where k = 1, µ = 1,ħ = 1: Ĥ : = 1 d² 1 2 d x² + z ² With ground-state wavefunction given by: Yo (x) - G) ₁ = x² 2

d. Confirm that the state o(x) obeys the uncertainty relation for potential and kinetic energy given by σ7σv ≥ |(4₁(x) | ½ [Î,V]| 40(x))|. 2i 1. The following questions will relate to the Harmonic Oscillator with the following Hamiltonian in a system of natural units where k = 1, µ = 1,ħ = 1: Ĥ : = 1 d² 1 2 d x² + z ² With ground-state wavefunction given by: Yo (x) - G) ₁ = x² 2