Mathematics, 24.04.2020 15:24 Pitts1971

(a) What is the exact Hamiltonian operator for the one-dimensional harmonic oscillator?
(b) Use the variational theorem to calculate the energy associated with the trial wavefunction, (x).
(c) What is the optimal value for the constant ?
(d) The exact ground state energy of the one-dimensional harmonic oscillator is ½ ħ(k/)1/2. Show the variational theorem is satisfied. (You may wish to use Evar calculated with the optimal value of .)

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