Usually means: Total energy of a system.
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We found 17 dictionaries that define the word hamiltonian:

General (12 matching dictionaries)
  1. Hamiltonian: Merriam-Webster
  2. Hamiltonian, hamiltonian: Oxford Learner's Dictionaries
  3. Hamiltonian: American Heritage Dictionary of the English Language
  4. Hamiltonian: Collins English Dictionary
  5. Hamiltonian, hamiltonian: Wordnik
  6. Hamiltonian, hamiltonian: Wiktionary
  7. Hamiltonian: Webster's New World College Dictionary, 4th Ed.
  8. Hamiltonian: Infoplease Dictionary
  9. Hamiltonian: Dictionary.com
  10. Hamiltonian (control theory), Hamiltonian (quantum mechanics), Hamiltonian (quantum theory), Hamiltonian: Wikipedia, the Free Encyclopedia
  11. Hamiltonian: TheFreeDictionary.com
  12. Hamiltonian: Merriam-Webster

Computing (1 matching dictionary)
  1. Hamiltonian (quantum mechanics), Hamiltonian: Encyclopedia

Medicine (1 matching dictionary)
  1. Hamiltonian: Medical dictionary

Science (2 matching dictionaries)
  1. Hamiltonian: Eric Weisstein's World of Physics
  2. Hamiltonian, Hamiltonian: PlanetMath Encyclopedia

Slang (1 matching dictionary)
  1. Hamiltonian: Urban Dictionary

(Note: See hamiltonianism as well.)

Definitions from Wiktionary (Hamiltonian)

adjective:  (mathematics) Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865).
adjective:  (mathematics, graph theory, of a cycle/path) That visits each vertex exactly once.
adjective:  (mathematics, graph theory, of a graph) Containing a Hamiltonian cycle.
adjective:  (historical, chiefly US, of certain fiscal policies) Advocated by American politician Alexander Hamilton (1755–1804).
adjective:  Relating to James Hamilton (1769–1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation.
adjective:  Of, relating to, or in the literary style of Edmond Hamilton (1904–1977), American science fiction writer.
adjective:  Relating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician.
noun:  (physics, Hamiltonian mechanics) A function (of time), denoted H, that corresponds to the total energy of the system.
noun:  (physics, quantum mechanics) The observable, denoted H, that corresponds to the total energy of the system.
noun:  (historical, chiefly US) A member of the faction of the US government in the George Washington administration led by Alexander Hamilton.
adjective:  Of or relating to any city named Hamilton.
noun:  A native or inhabitant of any city named Hamilton.
adjective:  Alternative letter-case form of Hamiltonian [(mathematics) Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865).]

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