# Hamiltonian

Hamiltonian may refer to

In both mathematics and physics (specifically mathematical physics), (after William Rowan Hamilton):

the term Hamiltonian refers to any energy function defined by a Hamiltonian vector field, a particular vector field on a symplectic manifold;

more specifically, as an adjective it is used in the phrases:

In mathematical physics (after William Rowan Hamilton):

In mathematics (after William Rowan Hamilton):

• 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 (after William Rowan Hamilton):

• Hamiltonian (quantum mechanics)
• Molecular Hamiltonian
• Hamiltonian constraint
• Hamiltonian fluid mechanics
• Hamiltonian lattice gauge theory

In Chemistry

• Molecular Hamiltonian
• Dyall Hamiltonian

In control theory (after William Rowan Hamilton):

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

In Language (after educationist James Hamilton (1769–1831) (de-wiki))

• Hamiltonian method

Other uses:

• Hamiltonian economic program as put forward by the eighteenth century American politician Alexander Hamilton
• a demonym for a person from any of several places named Hamilton.

### Other articles related to "hamiltonian":

Luke's Variational Principle - Hamiltonian Formulation
... The Hamiltonian structure of surface gravity waves on a potential flow was discovered by Vladimir E ... The Hamiltonian is the sum of the kinetic and potential energy of the fluid The additional constraint is that the flow in the fluid domain has to satisfy Laplace's equation with appropriate ...
Luttinger Parameter - Phenomenological Hamiltonian For The J=3/2 States
... Phenomenological Hamiltonian in spherical approximation is written as If we take as, the Hamiltonian is diagonalized for j=3/2 states ...
Canonical Quantum Gravity
... It is a Hamiltonian formulation of Einstein's general theory of relativity ... quantization techniques for constrained Hamiltonian systems invented by Paul Dirac ... of systems that include gauge symmetries using Hamiltonian techniques in a fixed gauge choice ...