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Unformatted text preview: to the exact result (in the case of the harmonic potential) or (in the case of the quartic potential) the result you obtained from the basis set expansion in the previous assignment? You may observe that the ground state energy from the present single-parameter trial function is comparable in accuracy to the result you obtained with several basis functions in the basis set calculation. Since the basis set calculation was an application of the Rayleigh-Ritz variational method, both results are based on the variational method. As you can see, the present nonlinear trial function converges more efficiently than the linear Rayleigh-Ritz expansion. What can you say about the wavefunction that minimizes the energy?...
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- Fall '08