List of things named after William Rowan Hamilton explained

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

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:

• Molecular Hamiltonian

In chemistry:

• Dyall Hamiltonian

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

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:

• Hamiltonian constraint
• Hamiltonian fluid mechanics
• Hamiltonian lattice gauge theory

In Chemistry :

• Dyall Hamiltonian

In control theory:

• Hamiltonian (control theory)
• Hamilton–Jacobi–Bellman equation

Other

• The Hamilton Building at Trinity College Dublin

See also

• Hamiltonian (disambiguation)