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Which consequence results when truncating Fourier-transformed wave functions?

A)Sharper spatial electron localization.
B)Increased momentum distribution accuracy.
C)Energy quantization becomes continuous.
D)Artificial oscillations (Gibbs phenomenon).

💡 Explanation

When wave functions are Fourier-transformed, truncation introduces the Gibbs phenomenon, because abrupt cutoffs create discontinuities. Therefore, we observe artificial oscillations, rather than sharper electron distributions; continuous energy, or improved momentum.

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