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Hamiltonian may refer to:

Hamiltonian mechanics, a function that represents the total energy of a system
Hamiltonian (quantum mechanics), an operator corresponding to the total energy of that system
- Dyall Hamiltonian, a modified Hamiltonian with two-electron nature
- Molecular Hamiltonian, the Hamiltonian operator representing the energy of the electrons and nuclei in a molecule
Hamiltonian (control theory), a function used to solve a problem of optimal control for a dynamical system
Hamiltonian path, a path in a graph that visits each vertex exactly once
Hamiltonian matrix, a matrix with certain special properties commonly used in linear algebra
Hamiltonian group, a non-abelian group the subgroups of which are all normal
Hamiltonian economic program, the economic policies advocated by Alexander Hamilton, the first United States Secretary of the Treasury

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+{{wiktionary|Hamiltonian}}
-'''Hamiltonian''' may refer to
+'''Hamiltonian''' may refer to:
+* [[Hamiltonian mechanics]], a function that represents the total energy of a system
+* [[Hamiltonian (quantum mechanics)]], an operator corresponding to the total energy of that system
+** [[Dyall Hamiltonian]], a modified Hamiltonian with two-electron nature
+** [[Molecular Hamiltonian]], the Hamiltonian operator representing the energy of the electrons and nuclei in a molecule
+* [[Hamiltonian (control theory)]], a function used to solve a problem of optimal control for a dynamical system
+* [[Hamiltonian path]], a path in a graph that visits each vertex exactly once
+* [[Hamiltonian matrix]], a matrix with certain special properties commonly used in linear algebra
+* [[Hamiltonian group]], a non-abelian group the subgroups of which are all normal
+* [[Hamiltonian economic program]], the economic policies advocated by Alexander Hamilton, the first United States Secretary of the Treasury
+==See also==
-In both ''mathematics'' and  ''physics'' (specifically ''[[mathematical physics]]''), (after [[William Rowan Hamilton]]):
+* [[Alexander Hamilton]] (1755 or 1757–1804), American statesman and one of the Founding Fathers of the US
+* [[Hamilton (disambiguation)]]
+* [[List of things named after William Rowan Hamilton]]
+{{srt}}
+{{disambiguation|maths}}
-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]]'';
-Derived uses:
-In ''chemistry'' and ''physics'':
-* [[Hamiltonian (quantum mechanics)]]
-* [[Molecular Hamiltonian]]
-In ''Chemistry'':
-* [[Dyall Hamiltonian]]
-In ''control theory'':
-* [[Hamiltonian (control theory)]]
-more specifically, as an adjective it is used in the phrases:
-In  ''mathematics'' and  ''physics'', esp. ''mathematical physics'' (after [[William Rowan Hamilton]]):
-* [[Hamiltonian function]]
-* [[Hamiltonian flow]]
-* [[Hamiltonian mechanics]] in classical mechanics
-*[[Hamiltonian system]]
-* [[Hamiltonian vector field]]
-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]]
-* [[Quaternions|Hamiltonian numbers]] (or quaternions)
-In ''physics'' (after [[William Rowan Hamilton]]):
-* [[Hamiltonian constraint]]
-* [[Hamiltonian fluid mechanics]]
-* Hamiltonian operator, see [[Hamiltonian (quantum mechanics)]]
-* [[Hamiltonian lattice gauge theory]]
-In ''Language'' (after educationist James Hamilton (1769–1831) ([[:de:James Hamilton (Sprachlehrer)|de-wiki]]))
-* [[Hamiltonian method]]
-<!-- http://www.theamericanscholar.org/the-new-old-way-of-learning-languages/ -->
-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]].
-== See also ==
-*[[List of things named after William Rowan Hamilton]]
-{{disambig}}
-[[Category:Mathematical disambiguation]]
-[[ar:هاميلتوني (توضيح)]]
-[[de:Hamiltonian]]
-[[es:Hamiltoniano]]
-[[fr:Hamiltonien]]
-[[gl:Hamiltoniano]]
-[[it:Hamiltoniano]]
-[[lt:Hamiltonianas]]