What is the definition of a wavefunction?

The definition of a wavefunction is that it is a mathematical description of wave properties in quantum mechanics. In quantum mechanics, the wavefunction describes the quantum state of a particle or system, encapsulating information about its position, momentum, and all other physical properties. It is typically represented by the symbol Ψ (psi) and allows for the calculation of probabilities of a particle's various measurable properties.

The wavefunction is fundamental to understanding phenomena like superposition and entanglement, as it shows how quantum systems behave differently from classical mechanics. The squared magnitude of the wavefunction, |Ψ|², provides the probability density function, giving insight into where a particle is likely to be found in space.

While a graphical representation of wave behavior could visualize some aspects of waves, it does not capture the comprehensive mathematical framework required in quantum mechanics. Descriptions of wave frequency and wave amplitude relate to specific properties of waves, but they do not encompass the full concept of a wavefunction, which is broader and more complex. Thus, the selection of the mathematical description aligns with the proper and precise meaning in the context of quantum mechanics.