The wavefunction in quantum mechanics provides information about the probability distribution of finding a particle, such as an electron, in a given state or location. In the case of an electron treated as a point particle, the wavefunction describes the probability amplitude associated with different positions in space.
According to the Born rule in quantum mechanics, the square of the absolute value of the wavefunction, denoted as |Ψ|^2, represents the probability density of finding the particle at a particular position. This means that the probability of locating the electron at a specific point in space is proportional to the magnitude squared of the wavefunction at that point.
In other words, the wavefunction of an electron provides the probability distribution of where the electron is likely to be found if a measurement is made on its position. However, it does not provide information about the probability of an interaction occurring at a given place. The wavefunction describes the state of the electron and how it evolves over time, and when an interaction or measurement takes place, it collapses to a specific value corresponding to the observed position.
It's worth noting that the interpretation of the wavefunction and its relationship to the physical reality of particles is a subject of ongoing debate and different interpretations exist, such as the Copenhagen interpretation, many-worlds interpretation, and pilot wave theory. The probabilistic nature of quantum mechanics and the role of the wavefunction in describing the behavior of particles is a fundamental aspect of the theory.