Question

Explain Briefly Path Integral in Quantum Mechanics?

Answer 1

Path integral formulation in Quantum mechanics is developed by Richard Feynman is a formalism that generalizes the concept of action Principe in quantum mechanics. It replaced the notion of a single trajectory to infinitely many possible trajectories.

Mathematically if the particle is initially in the state

Then probability for particle to go from initial state to final state is given by :

Where L is the lagrangian of the particle.

and is reduced planck's constant.