In the context of quantum mechanics, particles are often described as having wave-particle duality. This means that particles can exhibit both particle-like and wave-like properties. However, it's important to note that the wave-like behavior of particles does not necessarily mean that the wave has an infinite amplitude.
When we say that particles exhibit wave-like properties, we are referring to their wavefunctions, which are mathematical descriptions that represent the probability distribution of finding a particle in different states. The wavefunction describes the amplitude and phase of the particle's wave-like behavior.
In quantum mechanics, the square of the wavefunction (specifically, the absolute value squared) gives the probability density of finding the particle at a particular position. The amplitude of the wavefunction at a given point represents the probability amplitude associated with finding the particle at that position.
The amplitude of the wavefunction is finite and can take various values depending on the specific quantum state of the particle. It describes the probability of finding the particle in a particular state or position, but it does not represent a physical quantity like the amplitude of a classical wave.
In summary, the wave-like behavior of particles in quantum mechanics is described by the finite and specific amplitude of their wavefunctions, which represents the probability of finding the particle in different states or positions.