Modern Physics

# Schrodinger time dependent wave equation derivation

Schrodinger time independent wave equation derivation

## Schrodinger time dependent wave equation derivation

Consider a particle of mass “m” with velocity “v” and under the influence of potential energy (P.E) which is represented by V(r) .The total energy of the particle is the sum of potential energy (P.E) and kinetic energy (K.E) which is given by:

This is the schrodinger time dependent wave equation formula.

The factor =H is known as Hamiltonian operator which gives the energy of the particle.Now equation (7) can be written as: