Question

What information does Ψ indicate about the wave?

Answer 1

Wave function:

1. The wave function would be the parameter whose changes constitute matter waves.
2. The wave function has no physical importance in and of itself, however, the squared of its absolute magnitude $\left|{\mathrm{\psi }}^2\right|$ possesses physical relevance when assessed at a specific place and at a certain time $\left|{\mathrm{\psi }}^2\right|$ yields the probability of finding the particles there at that moment.
3. The wave function corresponding with such a speeding particle cannot be seen and has no direct physical significance. It's indeed, instead, a complicated quantity.

The complex wave function is written as:

$\mathrm{\psi }(\mathrm{x},\mathrm{y},\mathrm{z},\mathrm{t})=\mathrm{a}+\mathrm{ib}$

While its complex conjugate is written as:

$\mathrm{\psi }(\mathrm{x},\mathrm{y},\mathrm{z},\mathrm{t})=\mathrm{a}–\mathrm{ib}$

Therefore, ψ describe the wave characteristics of particle-wave.