hamiltonian systems
Hamiltonian systems refer to a mathematical framework used to model physical systems, particularly those involving conservation of energy. They describe the dynamics of a system using Hamilton's equations, which are a set of differential equations derived from a function called the Hamiltonian. The Hamiltonian function encapsulates the system's total energy and coordinates. By solving these equations, one can predict the evolution of the system over time and study its fundamental properties.
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Related Concepts (19)
- action-angle variables
- canonical quantization
- canonical transformations
- conservation laws
- dynamical symmetry
- dynamical systems
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- hamiltonian chaos
- integrability
- lagrangian mechanics
- liouvillian dynamics
- lorenz gas
- periodic orbits
- perturbation theory
- phase space
- poincaré maps
- poisson brackets
- quantum mechanics
- symplectic geometry
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