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In physics, a wave is a disturbance or oscillation that travels through a medium or space, transferring energy without the net movement of matter. Waves are characterized by properties such as wavelength, frequency, amplitude, and speed.

All particles in the quantum realm, such as electrons and photons, exhibit wave-like behavior according to the principles of quantum mechanics. This behavior is described by wave functions, which are mathematical functions that represent the probability distribution of finding a particle in a particular state or location.

According to the wave-particle duality principle, particles can exhibit both particle-like and wave-like properties. When particles are not observed or measured, their behavior is described by wave functions, and they can exhibit characteristics such as interference and diffraction, similar to classical waves.

The wave-like nature of particles arises from the underlying mathematical framework of quantum mechanics, which provides a probabilistic description of particle behavior. It is important to note that when a particle is measured or observed, its wave function collapses, and it behaves more like a localized particle with specific properties such as position and momentum.

The wave-particle duality is a fundamental aspect of quantum mechanics and has been supported by numerous experiments, demonstrating that particles can exhibit wave-like phenomena such as interference patterns and diffraction. However, it is crucial to emphasize that particles are not physical waves in the classical sense. The wave behavior refers to the probabilistic nature of particle behavior described by wave functions in quantum mechanics.

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