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← ScienceWhich outcome arises when applying the variational principle to approximate ground state energy wave functions?
A)Energy converges towards the true value✓
B)Wave function matches excited state exactly
C)Computational cost is indefinitely reduced
D)Uncertainty relation is perfectly minimized
💡 Explanation
When using the variational principle for approximating ground state wave functions, minimization of the energy functional occurs because any approximate wave function's energy is an upper bound to the true ground state energy, leading to convergence towards the true ground state. Therefore energy converges results, rather than exact excited states, indefinite cost reduction, or perfect uncertainty minimization which demands different physical constraints.
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