Summary
List of things named after William Rowan Hamilton:
- Cayley–Hamilton theorem
- Hamilton's equations
- Hamilton's principle
- Hamilton–Jacobi equation
- Hamilton–Jacobi–Bellman equation, related equation in control theory
- Hamilton–Jacobi–Einstein equation
Hamiltonian edit
In both mathematics and physics (specifically mathematical physics):
the term Hamiltonian refers to any energy function defined by a Hamiltonian vector field, a particular vector field on a symplectic manifold; for related concepts see Hamiltonian (control theory) in control theory and Hamiltonian (quantum mechanics).
In physics and chemistry:
In chemistry:
More specifically, as an adjective it is used in the phrases:
In mathematical physics:
- Hamiltonian flow
- Hamiltonian function
- Hamiltonian mechanics in classical mechanics
- Hamiltonian optics
- Hamiltonian principle, see Hamilton's principle
- Hamiltonian system
- Hamiltonian vector field
In mathematics:
- Hamiltonian path, in graph theory
- Hamiltonian cycle, a special case of a Hamiltonian path
- Hamiltonian group, in group theory
- Hamiltonian matrix
- Hamiltonian numbers (or quaternions)
In physics:
- Hamiltonian constraint
- Hamiltonian fluid mechanics
- Hamiltonian operator, see Hamiltonian (quantum mechanics)
- Hamiltonian lattice gauge theory
By field edit
In both mathematics and physics (specifically mathematical physics):
the term Hamiltonian refers to any energy function defined by a Hamiltonian vector field, a particular vector field on a symplectic manifold, i.e., a Hamiltonian function;
- Hamiltonian field theory
- Hamiltonian flow
- Hamiltonian function, see above
- Hamiltonian system
- Hamiltonian vector field
- Hamiltonian mechanics in classical mechanics
- Hamilton's principle
- Hamilton–Jacobi equation
In mathematics :
- Hamiltonian path, in graph theory
- Hamiltonian cycle, a special case of a Hamiltonian path
- Hamiltonian group, in group theory
- Hamiltonian matrix
- Hamiltonian numbers (or quaternions)
In physics and chemistry:
- Hamiltonian operator, see Hamiltonian (quantum mechanics)
- Molecular Hamiltonian
In physics:
In Chemistry :
In control theory:
Other edit
- The Hamilton Building at Trinity College Dublin