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The behavior of light as both a particle and a wave is one of the fundamental concepts in quantum mechanics, known as wave-particle duality. This duality is not unique to light but applies to all particles at the quantum level, including electrons and other elementary particles.

The wave nature of light was initially observed through various phenomena such as interference and diffraction. These experiments demonstrated that light could exhibit wave-like properties, forming interference patterns when passing through narrow slits or interfering with itself. This behavior is characteristic of waves.

On the other hand, the particle nature of light, known as photons, was first proposed by Albert Einstein in 1905 to explain the photoelectric effect. The photoelectric effect occurs when light shines on a metal surface, causing the emission of electrons. Einstein proposed that light consists of discrete packets of energy called photons. Each photon carries a specific amount of energy proportional to its frequency.

The wave-particle duality suggests that particles like photons can exhibit characteristics of both waves and particles, depending on how they are observed or measured. When light interacts with matter or is detected by a sensor, it behaves as if it were composed of particles. Each photon acts as a discrete entity, capable of transferring its energy and momentum to the particles it interacts with.

On the other hand, when light propagates through space or interacts with certain experimental setups, it behaves as a wave. It exhibits interference and diffraction phenomena, where the wave nature of light is apparent. The wave-like behavior of light can be described by the mathematical formalism of classical wave equations, such as Maxwell's equations.

The wave-particle duality of light (and other particles) is a fundamental aspect of quantum mechanics, which is a branch of physics that describes the behavior of matter and energy at the smallest scales. It is important to note that the wave-particle duality is a model used to explain the behavior of quantum entities, and it does not imply that light is simultaneously a wave and a particle in a classical sense. Instead, it highlights the complex and intriguing nature of quantum entities, challenging our intuitive understanding of the physical world.

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