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The behavior of photons, as described by quantum mechanics, exhibits both wave-like and particle-like properties. This phenomenon is known as wave-particle duality.

When we say that photons behave like waves, it means that they can exhibit wave-like characteristics such as interference and diffraction. Interference occurs when two or more waves overlap and either reinforce or cancel each other out, resulting in patterns of constructive or destructive interference. Diffraction refers to the bending or spreading of waves as they encounter obstacles or pass through narrow openings.

On the other hand, when we say that photons behave like particles, it means that they can interact with matter as discrete entities, similar to tiny localized particles. This behavior is evident in phenomena like the photoelectric effect, where photons can transfer their energy to electrons in a material, causing them to be ejected.

The dual nature of photons, as both waves and particles, arises from the mathematical framework of quantum mechanics. The wave-particle duality is a fundamental concept in quantum physics that applies not only to photons but to other elementary particles as well.

It's important to note that the wave-like and particle-like behaviors of photons are not always simultaneously observed. The behavior exhibited by photons depends on the experimental setup and the type of observation being made. In some experiments, the wave nature of photons dominates, while in others, the particle nature is more prominent.

Overall, the wave-particle duality of photons is a fundamental aspect of quantum mechanics and reflects the inherent probabilistic and wave-like nature of quantum systems.

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