According to the wave-particle duality principle in quantum mechanics, particles can exhibit both wave-like and particle-like properties. This concept suggests that all objects, including particles such as electrons and photons, can exhibit characteristics of both waves and particles.
In certain experiments and observations, particles can behave as discrete entities with localized positions and distinct trajectories, exhibiting particle-like behavior. On the other hand, in other experiments, particles can display wave-like properties such as interference and diffraction patterns, which are typical of waves.
The behavior of particles is described by wave functions in quantum mechanics, which can be used to calculate the probability distribution of finding a particle at a particular location. The wave function evolves and behaves like a wave, but when a measurement is made, it collapses into a definite particle state.
It's important to note that the wave-particle duality is a fundamental concept in quantum mechanics, and the behavior of particles is context-dependent. In some situations, the wave nature dominates, while in others, the particle nature is more prominent. The behavior of a particle is described by wave-particle duality and is best understood through the mathematical formalism of quantum mechanics.