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In the double-slit experiment, when electrons are used as the particles, they exhibit a wave-particle duality. This means that they can behave both as particles and as waves. The interference patterns observed in the experiment suggest that the electrons are interfering with themselves.

When the experiment is conducted with electrons, a beam of electrons is directed toward a barrier with two narrow slits. On the other side of the barrier, a screen or detector is placed to record the pattern of electron impacts. Surprisingly, even when electrons are sent through the slits one at a time, over time, an interference pattern emerges on the screen, which is characteristic of wave-like behavior.

The explanation for this phenomenon lies in the probabilistic nature of quantum mechanics and the wave nature of particles. When an electron is in motion, it is described by a wave function, which represents the probability distribution of where the electron is likely to be found. This wave function can interfere with itself, leading to constructive or destructive interference patterns.

As the electron passes through the two slits, its wave function splits and spreads out, interacting with both slits simultaneously. The waves emerging from the slits overlap and interfere with each other. This interference produces regions of constructive interference, where the waves reinforce each other and create bright spots on the screen, and regions of destructive interference, where the waves cancel each other out, resulting in dark spots on the screen.

The interference pattern observed on the screen suggests that the electrons, even though they are particles, exhibit wave-like behavior and interfere with themselves. It is important to note that the interference is not with any specific object or material but with different possibilities represented by the wave function of the electron itself. The experiment demonstrates the inherent wave-particle duality of quantum objects like electrons and highlights the peculiar nature of quantum mechanics.

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