Photons, as elementary particles of light, are described by wave-particle duality. While they are often associated with wave properties such as frequency, they are fundamentally quantum objects with unique characteristics.
In the context of photons, their frequency is directly related to the energy they carry. The frequency of a photon determines its electromagnetic wave's oscillation rate, and it is proportional to the energy of the photon. Higher frequencies correspond to photons with higher energy, and lower frequencies correspond to photons with lower energy.
However, it is important to note that photons do not possess a classical wave-like amplitude in the same way as macroscopic waves. In the classical sense, amplitude refers to the magnitude of the displacement or intensity of a wave. Photons, being quantum particles, do not exhibit a measurable amplitude in this traditional sense.
Instead, the amplitude of a photon is related to its probability amplitude or wavefunction, which is a complex-valued quantity. The square of the wavefunction magnitude gives the probability density of finding the photon at a particular location. However, this probability density does not correspond to the classical concept of amplitude in a wave.
Therefore, while photons have frequency and energy, their description in terms of amplitude is different from classical waves. The concept of amplitude in the context of photons is related to the probability amplitude and wavefunction, which are characteristics of quantum particles governed by quantum mechanics.