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In the double-slit experiment, the observation of interference patterns is a fundamental aspect of wave-particle duality. The experiment involves shining a beam of particles, such as electrons or photons, through two closely spaced slits and observing the resulting pattern on a screen or detector placed behind the slits.

Even though each particle is expected to travel along a definite path from the slit to the detector, the interference pattern emerges due to the wave-like nature of these particles. This phenomenon can be explained through the concept of wave-particle duality, which states that particles can exhibit both wave-like and particle-like characteristics.

When a beam of particles passes through the slits, it spreads out and behaves as a wave. The waves from the two slits then overlap and interfere with each other. This interference occurs when the waves either reinforce each other (constructive interference) or cancel each other out (destructive interference) at different points on the screen. These interference patterns arise due to the superposition of the particle waves.

To understand why interference occurs despite the particles traveling along one path, it's important to recognize that in quantum mechanics, particles are described by wavefunctions. These wavefunctions represent the probability distributions of a particle's position or momentum. The wavefunction encodes the possible paths a particle can take, and interference arises from the interaction of these different paths.

The act of observing or measuring the particle at the screen collapses the wavefunction, and the particle's position becomes localized. At this point, the particle behaves as a particle and appears as a single point on the screen. However, over multiple particles, the interference pattern emerges as a statistical distribution of particle impacts.

In summary, the double-slit experiment demonstrates the wave-particle duality of particles. Although each particle follows a definite path, it exhibits wave-like behavior, leading to interference patterns on the screen due to the superposition of different paths in the wavefunction.

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