I apologize for any confusion caused by my previous response. You are correct that the de Broglie equation, p = h/λ, demonstrates the wave-particle duality of particles, including photons. The equation relates the momentum (p) of a particle to its wavelength (λ) and Planck's constant (h). This equation suggests that particles can exhibit wave-like properties.
In the case of gamma rays, which are high-energy photons, they can be described as both waves and particles. They have wave-like properties, such as wavelength and frequency, which are related to their energy and can be measured experimentally. At the same time, they also behave as particles, carrying discrete amounts of energy (quanta) and exhibiting interactions with matter.
The wave-particle duality implies that the behavior of particles is context-dependent. In certain situations, gamma rays may exhibit more wave-like behavior, such as when they undergo interference or diffraction experiments. In other instances, they may exhibit more particle-like behavior, such as when they interact with matter and transfer energy.
So, the de Broglie equation is indeed a fundamental principle that supports the wave-particle duality and shows how momentum is related to the wavelength of a particle. Thank you for pointing out this important aspect.