3) Use the Ritz variational principle to approximate the ground state energy of the anharmonic oscillator,...

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3) Use the Ritz variational principle to approximate the ground state energy of the anharmonic oscillator, H = p/2m+x4, where = positive constant. Use the (normalized) trial wavefunction = (/) exp (-x/2), where is the variational parameter. Show that this gives as the approximate ground state energy Eo 0.681 (h/m) 2/3 1/3. [The exact value is Eo = 0.668 (h/m) 2/3 1/3.] 3) Use the Ritz variational principle to approximate the ground state energy of the anharmonic oscillator, H = p/2m+x4, where = positive constant. Use the (normalized) trial wavefunction = (/) exp (-x/2), where is the variational parameter. Show that this gives as the approximate ground state energy Eo 0.681 (h/m) 2/3 1/3. [The exact value is Eo = 0.668 (h/m) 2/3 1/3.]