## What is Schrodinger equation?

Suppose a particle of mass m, constrained to move along the x-direction in the region of the potential V. Then Schrodinger equation for this particle is,

$$i\hbar \frac{\partial \psi}{\partial t} = -\frac{\hbar^2}{2m} \frac{\partial^2 \psi}{\partial x^2} + V\psi$$

Where,
$$i$$ is the square root of -1 and $$\hbar = \frac{h}{2\pi}$$.
$$\psi$$ is the wave function of the particle.
V is the specified potential.