Slit Experiment

The path integral formulation is a description in quantum mechanics that generalizes the action principle of classical mechanics. It replaces the classical notion of a single, unique classical trajectory for a system with a sum, or functional integral, over an infinity of quantum-mechanically possible trajectories to compute a quantum amplitude.

What you're seeing: A visualization of the double-slit experiment using Feynman's path integral approach. Instead of particles taking a single path, quantum mechanics considers all possible paths simultaneously.

Key concepts:

  • Each possible path contributes to the final probability
  • Paths interfere with each other, creating the interference pattern
  • This explains wave-particle duality and quantum behavior

The simulation shows how considering all paths - even seemingly absurd ones - leads to the correct quantum mechanical predictions. This is the foundation of quantum field theory and modern physics.