1. ONE DIMENSIONAL TIME DEPENDENT SCHRODINGER EQUATION.

$(-ħ)/2m×(Ə^2 Ψ(x,t))/(Əx^2 )+VΨ(x,t) = jħ (ƏΨ(x,t))/Ət$

The first and second term on the left hand side represents the kinetic and potential energies respectively of the particles and the right hand side represents the total potential.

1. ONE DIMENSIONAL TIME INDEPENDENT SCHRODINGER EQUATION.

$ -ħ^2/2m×(d^2 Ψ(x))/(dx^2 )+V(x)Ψ(x)=EΨ(x)$

1. THREE DIMENSIONAL TIME INDEPENDENT SCHRODINGER EQUATION

$ H=-ħ^2/2m ∇^2+V$

Schrodinger equation is the fundamental equation of quantum mechanics. This is extremely useful for investing various quantum mechanical problems. The wave function, the probability density, the energy values of a quantum mechanical particle, etc. in various situation can be calculated with the help of this equation.