The behavior of waves and particles in quantum mechanics can be a complex and counterintuitive concept. The wave-particle duality, as described by de Broglie's hypothesis, suggests that particles can exhibit both wave-like and particle-like properties under certain circumstances.
The equation you mentioned, λ = h/p, is known as the de Broglie wavelength, where λ represents the wavelength, h is Planck's constant, and p is the momentum of the particle. This equation relates the momentum of a particle to its wavelength, indicating that particles can exhibit wave-like characteristics.
However, it's important to note that the wave-like behavior of particles does not imply that they have mass. In quantum mechanics, particles are described by wavefunctions, which are mathematical functions that represent the probability distribution of finding the particle in different states. These wavefunctions can exhibit wave-like properties, such as interference and diffraction, similar to classical waves.
The key idea is that particles can exhibit wave-like properties in their behavior, such as interference patterns observed in double-slit experiments. However, it does not mean that particles themselves are "waves" in the traditional sense or that they possess a literal physical wave structure.
Particles in quantum mechanics are considered to have both particle-like and wave-like properties, and the wave-particle duality is a fundamental principle of quantum theory. It's a mathematical framework that successfully describes the behavior and interactions of particles at the microscopic scale, even though it may not align with our classical intuition of how particles should behave.