Cambridge Encyclopedia :: Cambridge Encyclopedia Vol. 32

hamiltonian

The total energy of a mechanical system; symbol H, units J (joule); after Irish mathematician William Hamilton (1805–65). It is equal to the sum of kinetic energy K and potential energy V; H = K+V. Mechanics can be formulated using H in a way complementary to that based on lagrangians.

Hamiltonian may refer to In mathematics:

Hamiltonian system Hamilton's equations Hamiltonian path, in graph theory Hamiltonian group, in group theory Hamiltonian (control theory) Hamiltonian flow Hamiltonian vector field

In physics:

Hamiltonian system Hamiltonian mechanics in classical mechanics Hamilton's equations Hamilton's principle Hamilton-Jacobi-Bellman equation Hamiltonian (quantum mechanics) Molecular Hamiltonian Hamiltonian constraint Hamiltonian fluid mechanics Hamiltonian lattice gauge theory Hamiltonian vector field

In Chemistry

Molecular Hamiltonian Dyall Hamiltonian

Other uses:

supporters of views expressed by the eighteenth century American politician Alexander Hamilton

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