a) Describe the Variational Principle b) The variation method is applied to a harmonic oscillator using a trial function yp = e-ax %3D a The solution for energy is E = k Minimize the energy as a function of the variable a 8a Leave your answer in terms of h, k, and u. %3D Compare your answer to the true energy of a harmonic oscillator, E = (v+) hw, where v = 0,1,2, ... and w =

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4.
a) Describe the Variational Principle
= e-ax?
b) The variation method is applied to a harmonic oscillator using a trial function = e
Minimize the energy as a function of the variable a.
k
The solution for energy is E =
24
8a
Leave your answer in terms of h, k, and u.
Compare your answer to the true energy of a harmonic oscillator, E =
v+) ha, where
v = 0,1,2, ... and w =
Transcribed Image Text:4. a) Describe the Variational Principle = e-ax? b) The variation method is applied to a harmonic oscillator using a trial function = e Minimize the energy as a function of the variable a. k The solution for energy is E = 24 8a Leave your answer in terms of h, k, and u. Compare your answer to the true energy of a harmonic oscillator, E = v+) ha, where v = 0,1,2, ... and w =
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