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Etymology 1[edit]

From Hamilton ‎(a surname) +‎ -ian, alluding to either Irish mathematician William Rowan Hamilton (1805-1865) or American politician Alexander Hamilton (1755-1804).


Hamiltonian ‎(not comparable)

  1. (mathematics) Of, attributed to or inspired by William Rowan Hamilton.
  2. (historical, chiefly US, of certain fiscal policies) Advocated by Alexander Hamilton.
Derived terms[edit]


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[edit]

Etymology 2[edit]

From Hamilton ‎(a place name) +‎ -ian.


Hamiltonian ‎(plural Hamiltonians)

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