ψ gives us the amplitude of the wave. It has no physical significance.
The wave function ψ associated with a moving particle is not observable and does not have any direct physical meaning. Instead, it is a complex quantity. The complex wave function can be represented as ψ(x, y, z, t) = a + ib and its complex conjugate as ψ*(x, y, z, t) = a – ib.
- The wave function is defined as that quantity whose variations make up matter waves.
- The wave function ψ itself has no physical significance but the square of its absolute magnitude |ψ2| has significance when evaluated at a particular point and at a particular time |ψ2| gives the probability of finding the particle there at that time.