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The double-slit experiment is a classic experiment in physics that demonstrates the wave-particle duality of particles, such as electrons or photons (particles of light). It involves shining a beam of particles through two narrow slits and observing the resulting pattern on a screen placed behind the slits.

When particles are fired individually through the slits, they create a pattern on the screen that corresponds to two separate bands or regions of intensity. This is what one would expect if particles were behaving as individual localized objects.

However, when a beam of particles, such as electrons or photons, is used instead of individual particles, a different pattern emerges. The particles pass through both slits simultaneously and interfere with each other, creating an interference pattern on the screen. The interference pattern consists of alternating bands of high and low intensity, similar to what is observed when waves pass through two slits.

The interference pattern is a result of the wave-like nature of particles. In quantum mechanics, particles are described by wave functions, which are mathematical functions that determine the probability distribution of finding a particle at a particular location. The square of the wave function, known as the probability density, gives the probability of finding the particle at a specific point.

When a beam of particles passes through the double slits, the individual particle wave functions from each slit interfere with each other. This interference can be constructive, where the peaks of the waves align, leading to regions of higher probability density (bright bands), or destructive, where the peaks and troughs cancel out, resulting in regions of lower probability density (dark bands). The interference arises from the superposition of these probability waves.

The interference pattern observed in the double-slit experiment demonstrates the wave-like behavior of particles and is a key experimental result supporting the wave-particle duality concept in quantum mechanics.

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