In quantum physics, a wave function is a mathematical description of a quantum state of a particle as a function of momentum, time, position, and spin.
The symbol used for a wave function is a Greek letter called psi, 𝚿.
By using a wave function, the probability of finding an electron within the matter-wave can be explained.
This can be obtained by including an imaginary number that is squared to get a real number solution resulting in the position of an electron.
The concept of wave function was introduced in the year 1925 with the help of the Schrodinger equation.
Properties of Wave Function
All measurable information about the particle is available.
𝚿 should be continuous and single-valued.
Using the Schrodinger equation, energy calculations becomes easy.
Probability distribution in three dimensions is established using the wave function.
The probability of finding a particle if it exists is 1.