Hamilitonian function

The Hamiltonian function is a mathematical tool used in physics, especially in classical and quantum mechanics, to describe the total energy of a system. It combines kinetic energy (energy from motion) and potential energy (stored energy due to position or configuration) into a single formula. By analyzing the Hamiltonian, scientists can predict how a system will evolve over time. It provides a powerful framework for understanding complex dynamics, whether for particles, planets, or quantum systems, by focusing on energy rather than just forces or positions.