Yes, a single photon can be associated with a single wave of light. However, it's important to note that this wave is not a classical electromagnetic wave as described by Maxwell's equations. Instead, it represents the wave-like behavior of the photon itself, which is a quantum object.
In the context of quantum mechanics, the wave associated with a single photon is described by its wave function. The wave function represents the probability amplitude of finding the photon in different states or positions. When a measurement is made, the wave function collapses, and the photon is observed as a particle at a specific location.
The wave nature of a single photon becomes apparent when considering phenomena such as interference and diffraction. For example, in the double-slit experiment performed with single photons, an interference pattern emerges over time, indicating the wave-like behavior of individual photons. This interference pattern arises from the interference of the probability amplitudes associated with different paths the photon can take.
However, it's important to emphasize that the wave associated with a single photon is not a physical wave in the classical sense. It does not represent an oscillating electromagnetic field that propagates through space, as in the case of classical waves. Instead, it is a mathematical construct that describes the quantum behavior of the photon. The wave function allows us to calculate probabilities of different outcomes when interacting with the photon, but it does not directly correspond to a physical wave in the way that classical waves do.