Lagrangian

The Lagrangian is a way physicists describe the motion of objects by comparing their kinetic energy (energy of movement) and potential energy (stored energy due to position). By calculating the difference between these energies, the Lagrangian helps determine how an object moves over time, following the principle that systems tend to take the path minimizing the difference between kinetic and potential energy. This approach simplifies complex physical problems, especially in mechanics and field theories, providing a powerful method to analyze and predict the behavior of diverse systems in physics.