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The wave-particle duality of a photon, which is a fundamental concept in quantum mechanics, is not solely based on interference phenomena. The wave-particle nature of a photon arises from experimental observations and is mathematically described using quantum theory.

The wave-like properties of a photon are evident in phenomena such as diffraction and interference, where photons exhibit interference patterns similar to what is observed with waves. However, the wave-particle duality of a photon extends beyond these phenomena.

In quantum mechanics, a photon is described as a quantum of electromagnetic radiation, which means it carries energy in discrete packets or quanta. These packets of energy are referred to as photons. When a photon interacts with matter, it can exhibit particle-like behavior. For example, when a photon is absorbed by an atom, it can transfer its energy to an electron, causing it to move to a higher energy level.

On the other hand, when a photon is detected or measured, it manifests as a particle-like entity localized at a specific point. This particle-like behavior is observed, for instance, when photons are detected by a photon detector or recorded as individual events in experiments.

The wave-particle duality of photons is described mathematically by wave functions, which are complex mathematical functions that can represent both wave-like and particle-like properties of particles in quantum mechanics. The wave function of a photon allows us to calculate the probability of finding the photon at different locations or with different energies when measured.

It's important to note that the wave-particle duality is not unique to photons but applies to all elementary particles in quantum mechanics. It signifies that particles, including photons, possess both wave-like and particle-like characteristics, and the manifestation of these properties depends on the specific experimental context or measurement being performed.

In summary, the wave-particle duality of a photon is not solely linked to interference phenomena but is a fundamental aspect of quantum mechanics, describing the dual nature of particles as waves and particles depending on the experimental setup and measurement context.

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