![hydrogen atom schrodinger equation hydrogen atom schrodinger equation](https://i1.rgstatic.net/publication/320755576_Hydrogen_Atom_Schrodinger_Solution/links/59f967f2a6fdcc075ec9b37d/largepreview.png)
Probability provides the best possible description of a situation which cannot be described with certainty. The wave function for an electron in an atom is called orbital wave function or atomic orbital.Since an electron can have any wave function ,therefore, there are many atomic orbitals in an atom. The region around the nucleus which represents the electron density at different points is called an orbital. Ψ 2 at any point gives the probability of finding the electron at that point ie.
![hydrogen atom schrodinger equation hydrogen atom schrodinger equation](https://slidetodoc.com/presentation_image/3d67ca376c6fb31b141f4d84e448f8f4/image-3.jpg)
In case of light or sound, the square of the amplitude of the wave at any point gives the intensity of the sound or light at that point, Similarly the square of the amplitude of the electron wave ie ψ 2 at any point gives the intensity of the electron wave at that point which in view of Heisenberg Uncertainty Principle means probability of finding the electron at that point.
![hydrogen atom schrodinger equation hydrogen atom schrodinger equation](https://hi-static.z-dn.net/files/da5/ceda690a2438d5a549d51b15ea624141.jpg)
The corresponding value of ψ are called wave functions. The value of E represents the quantised value of energy which the electron in the atom can have. The solution of Schrodinger wave equation for an electron in an atom gives the value of E and Ψ.