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.