3. Let's have another swing at the one-dimensional harmonic oscillator. Suppose thatthe oscillator is prepared in one of the eigenstates of the Hamiltonian, [½) = |n),where ne {0, 1, 2, . . . }.(c) Verify the validity of the Heisenberg uncertainty relation by evaluating the(d) For which n is the Heisenberg uncertainty minimized, i.e. ^q^p = ħ/2?

Answered: Image /qna-images/answer/3850bab4-dae2-4eff-8ce8-f2cff23c287a.jpg

3. Let's have another swing at the one-dimensional harmonic oscillator. Suppose that the oscillator is prepared in one of the eigenstates of the Hamiltonian, [y) = [n), where n = {0, 1, 2, ... }. (c) Verify the validity of the Heisenberg uncertainty relation by evaluating the (d) For which n is the Heisenberg uncertainty minimized, i.e. ^q^p = ħ/2?

3. Let's have another swing at the one-dimensional harmonic oscillator. Suppose that the oscillator is prepared in one of the eigenstates of the Hamiltonian, [y) = [n), where n = {0, 1, 2, ... }. (c) Verify the validity of the Heisenberg uncertainty relation by evaluating the (d) For which n is the Heisenberg uncertainty minimized, i.e. ^q^p = ħ/2?