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Photons are elementary particles that exhibit both particle-like and wave-like properties. This phenomenon is known as wave-particle duality and is a fundamental concept in quantum mechanics.

As particles, photons have characteristics such as energy, momentum, and the ability to interact with matter. They can be detected as discrete entities when interacting with a detector or when absorbed by an atom, for example.

On the other hand, photons also exhibit wave-like properties. This is most evident in their behavior as electromagnetic waves, which is described by Maxwell's equations in classical electromagnetism. Photons are associated with oscillating electric and magnetic fields that propagate through space as waves. These waves can interfere with each other and exhibit properties like diffraction and polarization.

The wave-particle duality of photons is captured mathematically by the wave function in quantum mechanics. The wave function describes the probability amplitude of finding a photon in different states or locations. When a measurement is made, the wave function "collapses" to a specific state, and the photon is observed as a particle.

The dual nature of photons is not unique to photons but extends to other elementary particles as well. In quantum mechanics, all particles, including electrons, protons, and neutrons, can exhibit wave-particle duality. The behavior of particles at the quantum level is described by wave functions, and their observed properties depend on the specific measurement being made.

It's important to note that the wave-particle duality can be challenging to visualize or understand intuitively because it goes beyond classical physics. Quantum mechanics provides a mathematical framework that successfully describes and predicts the behavior of particles at the microscopic scale, but it often defies our classical intuition.

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