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In quantum mechanics, particles such as electrons and photons can exhibit both wave-like and particle-like properties. This concept is known as wave-particle duality. It challenges the classical understanding of particles as discrete, localized entities and introduces the notion that particles also possess wave-like characteristics.

Traditionally, particles were thought to behave like classical objects with well-defined positions and velocities. Waves, on the other hand, were described by continuous, propagating disturbances in a medium, such as water waves or sound waves. However, experimental observations in the early 20th century, particularly through the famous double-slit experiment, revealed phenomena that could not be explained by classical particle behavior alone.

In the double-slit experiment, a beam of particles (such as electrons or photons) is directed toward a barrier with two narrow slits. On a screen placed behind the barrier, an interference pattern emerges, similar to what one would expect from two overlapping water waves. This pattern indicates that the particles are behaving as if they are interfering with themselves, like waves do when they overlap.

This wave-like behavior implies that particles have a certain probability of being detected at different locations on the screen, rather than being confined to a single point. The wave-like nature of particles is described by a mathematical framework called the wave function, which assigns a probability amplitude to each possible position or state of the particle.

However, when an attempt is made to observe the particle's position more precisely, such as by placing detectors at the slits to determine which slit the particle passes through, the interference pattern disappears. The act of measurement or observation "collapses" the wave function, and the particle appears to behave as a localized object, akin to a classical particle.

This observation of particle-like behavior suggests that when a particle is measured or interacts with its surroundings, it behaves as a localized entity with well-defined properties. However, when not subjected to observation or measurement, it can exhibit wave-like characteristics, such as interference and superposition (where the particle can exist in multiple states simultaneously).

Wave-particle duality is a fundamental aspect of quantum mechanics and is encapsulated in the wave-particle dual nature of quantum objects. It highlights the need for a more nuanced understanding of the nature of particles, where they can exhibit both particle-like and wave-like behaviors depending on the experimental setup and measurement context.

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