Definition: In mathematics and physics, Hamiltonism is a concept that suggests that a system behaves as if it were in motion with respect to its environment or surroundings. It involves the idea of a "motionless" system, where the state of the system is described by its position and velocity rather than its momentum. Hamiltonian mechanics is a mathematical theory that describes how particles move under the influence of forces and other interactions. The Hamiltonian is a function that can be used to describe the total energy of a system