No, each particle does not have a certain and constant frequency in the same way that waves do. The concept of frequency is typically associated with waves, where it represents the number of cycles or oscillations that occur per unit of time.
In the case of particles like electrons, their wave-like behavior is described by a mathematical function called a wavefunction. The wavefunction of a particle provides information about the probability of finding the particle in different states or locations.
The wavefunction contains various properties, such as wavelength and amplitude, which are analogous to the properties of waves. However, the frequency associated with a particle's wavefunction is not a fixed or constant value like it is for waves. Instead, the frequency of a particle is related to its energy through a mathematical relationship known as the energy-frequency relationship.
In quantum mechanics, particles can have different energy levels and can transition between these energy levels by absorbing or emitting energy in discrete amounts called quanta. The energy of a particle determines its frequency in a probabilistic sense. For example, high-energy particles tend to have higher probabilities of exhibiting wave-like behavior at higher frequencies, while low-energy particles tend to have lower frequencies.
It's important to note that the wave-particle duality of particles does not mean that they are constantly oscillating like waves. The wave-like behavior associated with particles is a mathematical description of their probabilistic nature, and it is used to make predictions about their behavior in experiments.
So, while particles exhibit wave-like properties, the concept of a constant and fixed frequency is not directly applicable to them. The behavior of particles is more complex and is better understood through the mathematical framework of quantum mechanics.