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Definition 2024


Hamiltonian

Hamiltonian

See also: hamiltonian

English

Adjective

Hamiltonian (not comparable)

  1. (mathematics) Of, attributed to or inspired by William Rowan Hamilton.
  2. (mathematics, graph theory, of a cycle/path) That visits each vertex exactly once.
  3. (mathematics, graph theory, of a graph) Containing a Hamiltonian cycle.
  4. (historical, chiefly US, of certain fiscal policies) Advocated by Alexander Hamilton.
Derived terms

Noun

Hamiltonian (plural Hamiltonians)

  1. (physics, quantum mechanics) The observable, denoted by H, that corresponds to the total energy of the system.
  2. (historical, chiefly US) A member of the faction of the US government in the George Washington administration led by Alexander Hamilton.
Derived terms
Translations

Etymology 2

From Hamilton (a place name) + -ian.

Adjective

Hamiltonian (comparative more Hamiltonian, superlative most Hamiltonian)

  1. Of or relating to any city named Hamilton.

Noun

Hamiltonian (plural Hamiltonians)

  1. A native or inhabitant of any city named Hamilton.

hamiltonian

hamiltonian

See also: Hamiltonian

English

Adjective

hamiltonian

  1. Alternative letter-case form of Hamiltonian