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Energy exhibits dual behavior as both particles and waves in the realm of quantum mechanics. This concept, known as wave-particle duality, was established through experimental evidence and theoretical models.

When energy is considered as a particle, it is associated with discrete packets called "quanta" or "particles." In this context, energy is quantized and can exist in specific amounts known as energy levels. For example, in the case of photons, which are particles of light, the energy is quantized in discrete units known as photons, each carrying a specific amount of energy proportional to its frequency.

On the other hand, energy can also exhibit wave-like properties. This is particularly evident in phenomena such as diffraction and interference, which are characteristic of waves. When energy is treated as a wave, it is described by mathematical functions that represent oscillations in space and time. These functions include characteristics such as wavelength, frequency, amplitude, and phase.

The wave-particle duality suggests that all particles, including energy-carrying particles, can exhibit both particle-like and wave-like behaviors depending on the experimental setup and the specific observation being made. The behavior observed in a particular experiment may vary, and it is not possible to ascribe both particle and wave properties simultaneously to a single observation. This duality is a fundamental aspect of quantum mechanics and has been confirmed by numerous experiments, leading to the development of the field of quantum physics.

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