Yes, the distance between crests of a photon's excitation in the electromagnetic field corresponds to the specific wavelength of that photon. In the context of quantum mechanics and quantum field theory, a photon is considered to be a quantized excitation of the electromagnetic field. The electromagnetic field permeates all of space and consists of oscillating electric and magnetic fields.
The wavelength of a photon is inversely proportional to its energy. In other words, photons with higher energies have shorter wavelengths, while photons with lower energies have longer wavelengths. This relationship is described by the equation λ = c/f, where λ represents the wavelength, c is the speed of light, and f is the frequency of the photon.
The distance between successive crests or troughs of the photon's excitation in the electromagnetic field corresponds to one full wavelength of the photon. The concept of wavelength is essential in understanding the wave nature of photons and how they interact with matter and other electromagnetic fields.
It's worth noting that the wave-particle duality of photons implies that while they exhibit wave-like properties, such as interference and diffraction, they also behave as particles with discrete energy and momentum. This duality is a fundamental aspect of quantum mechanics and is described mathematically by wave functions and probability amplitudes.