Question

What information does $\psi$ indicate about the wave ?

Answer 1

$\psi$can be defined with its relation with particle-wave. Another way we can understand the indication of $\psi$is in terms of its dealings with physical significance or check if it has one.

Complete answer:
The symbol $\psi$ is actually a wave function in quantum mechanics and is not a constant. It actually describes the wave characteristics of a particle. The symbol is a greek letter and is pronounced as “psi”. Also, according to the principle of superposition of quantum mechanics, the wave function can be multiplied or added to form a new wave function.

The wave function or $\psi$ is brought into play to represent the amplitude of the de Broglie wave or the particle-wave. And such wave functions have no physical significance however, the square of the wave function has a physical significance.

The physical significance of the square of the wave function is that the probability of finding a particle, at a given point and time, with specific wave function $\psi$ is directly proportional to the square of the wave function of that particle. However, in the case of the wave function, is valued depending on the likelihood of the availability of the particle at that given point and time.

Note: Wave functions can also be used to obtain various things which include the electron spin, the energy of the electron, the orbital orientations in the shape of quantum numbers l, n and m. Also, the positive and negative sign of a wave function is necessary for calculations.