Yes, that is correct. In quantum mechanics, the wave property of an electron, as well as other quantum particles, is described by a mathematical function called the wave function. The wave function of a particle, denoted by the symbol Ψ (psi), is a complex-valued function that contains information about the particle's quantum state.
The wave function provides a mathematical representation of the probability amplitude associated with different possible states of the particle, such as position, momentum, or energy. The square of the absolute value of the wave function, |Ψ|^2, gives the probability density of finding the particle in a particular state.
The wave function of an electron, for example, evolves over time according to the Schrödinger equation, which is a fundamental equation in quantum mechanics. The Schrödinger equation describes how the wave function changes in response to the particle's energy and the potential energy of its surroundings.
It's important to note that the wave function is a mathematical tool used to make predictions and calculations in quantum mechanics. It does not represent a physical wave in the traditional sense, like a water wave or an electromagnetic wave. Instead, the wave function represents the probability distribution of the particle's properties and is used to determine the likelihood of observing different outcomes upon measurement.
The wave function is a fundamental concept in quantum mechanics and plays a central role in understanding and describing the behavior of electrons and other quantum particles.