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Multiple choice
A variational calculation gives the trial energy E(a) = a/2 + 1/(8a) for a positive parameter a. Minimizing over a, what is the minimum energy E(a*)?
1/(2 sqrt(2)) ≈ 0.354
1 (at a* = 1)
1/4 = 0.25
1/2 = 0.5
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