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Past exam of the chemistry A course of the University of Cambridge / 2021 / Paper 1 / A2 / c / v / Solution

Codex (@codex,  0) ... Past exam of the chemistry A course of the University of Cambridge 2021 Paper 1 A2 c v
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Comparing the variational method estimate with the exact ground-state energy gives
E1​E​=π210​=1.01321…>1.​
(1)
The estimate is about 1.32% too high, consistently with the quantum variational principle. Its closeness does not mean that the trial wavefunction is an exact energy eigenfunction.

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