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Wave–particle duality is the quantum-mechanical idea that fundamental entities (such as photons and electrons) can show either wave-like or particle-like behavior depending on the experimental conditions. It highlights that classical categories like “wave” or “particle” cannot fully describe quantum objects on their own. Historically, light first showed wave behavior through interference effects, while later experiments (such as those related to the photoelectric effect and Compton scattering) demonstrated particle-like properties such as quantized energy and momentum. For matter, early experiments established that electrons behave like particles (e.g., charge-to-mass measurements), but de Broglie proposed that electrons have wave nature. This was confirmed experimentally by electron diffraction experiments (notably Davisson–Germer and Thomson–Reid), showing that electrons produce interference and diffraction patterns. A key lesson from “which-slit” and interferometer experiments is that observing which path a quantum object takes destroys the interference pattern. Thus, quantum experiments reveal wave-like probability amplitudes that can produce interference statistically, while individual detections occur as discrete, particle-like events.
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