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Use the variational principle to show that a one dimensional at... | Filo

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SOLVED:(a) Use the variational principle to prove that first-order nondegenerate perturbation theory always overestimates (or at any rate never underestimates) the groundstate energy. (b) In view of (a), you would expect that the second-order correction to the ground state is always negative. Confirm that this is indeed the case, by examining Equation 6.14

SOLVED:(a) Use the variational principle to prove that first-order …

SOLVED: (a) Use the variational principle to prove that first-order non-degenerate perturbation theory always overestimates (or at any rate never underestimates) the ground state energy.(b) In view of (a), you would expect that the second-order correction to the ground state is always negative. Confirm that this is indeed the case, by examining Equation 6.15 .

SOLVED: (a) Use the variational principle to prove that first-order …

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