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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}}
-<noinclude>{{User:RMCD bot/subject notice|1=Hamiltonian (disambiguation)|2=Talk:Hamiltonian#Requested move 31 October 2020 }}
-</noinclude>{{wiktionary|Hamiltonian}}
 '''Hamiltonian''' may refer to:
-* [[Hamiltonian (function)]] used in [[Classical mechanics]], represents the energy of a system
+* [[Hamiltonian mechanics]], a function that represents the total energy of a system
-* [[Hamiltonian (quantum mechanics)]] used in [[quantum mechanics]], the operator corresponding to the total energy of the system in most of the cases
+* [[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''' may also refer to:
+* [[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
-{{TOC right}}
+* [[Hamiltonian matrix]], a matrix with certain special properties commonly used in linear algebra
-==Physics==
-* [[Hamiltonian mechanics]], a formalism of classical mechanics
+* [[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
-* [[Hamiltonian constraint]], from any theory that admits a Hamiltonian formulation
-* [[Hamiltonian field theory]], a formalism of classical field theory
-**[[Hamiltonian density]], function used in Hamiltonian field theory
-* [[Hamiltonian system]], a dynamical system governed by Hamilton's equations
-* [[Hamiltonian vector field]],  a geometric manifestation of Hamilton's equations in classical mechanics
-==Mathematics==
-* [[Hamiltonian path]] and Hamiltonian cycle, in graph theory
-* [[Hamiltonian group]], in group theory
-* [[Hamiltonian matrix]], a type of 2n-by-2n matrix
-* [[Hamiltonian numbers]] or quaternions, a number system that extends the complex numbers
-* [[Hamiltonian (control theory)]], part of Lev Pontryagin's minimum principle
-==Other uses==
-* [[Hamiltonian economic program]], as put forward by the eighteenth century American politician Alexander Hamilton
-*[[Hamiltonian system of instruction]], a system of teaching languages created by Irish language teacher James Hamilton
 ==See also==
 * [[Alexander Hamilton]] (1755 or 1757–1804), American statesman and one of the Founding Fathers of the US
-* [[Dyall Hamiltonian]], a modified Hamiltonian with two-electron nature
 * [[Hamilton (disambiguation)]]
-* [[Hamiltonian lattice gauge theory]], a calculational approach to gauge theory
-* [[Hamiltonian fluid mechanics]], the application of Hamiltonian methods to fluid mechanics
 * [[List of things named after William Rowan Hamilton]]
+{{srt}}
-* [[Molecular Hamiltonian]], the Hamiltonian operator representing the energy of the electrons and nuclei in a molecule
-* [[William Rowan Hamilton]] (1805–1865), Irish mathematician
 {{disambiguation|maths}}