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← ScienceWhich outcome occurs when eigenfunctions do not commute in quantum systems?
A)Simultaneous precise measurements prohibited✓
B)Energy levels become quantized sharply
C)Wave function collapses immediately
D)Entanglement entropy approaches zero
💡 Explanation
If eigenfunctions for different observable operators do not commute, simultaneous measurements cannot be made with arbitrary precision, because the Heisenberg uncertainty principle applies due to non-commuting operators; therefore, simultaneous measurements are prohibited, rather than wave function collapse if compatible.
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