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Definition of Hamiltonian
1. Adjective. (mathematics) Applied to various mathematical constructs developed or inspired by Hamilton, as in (term Hamiltonian path), (term Hamiltonian cycle). ¹
2. Noun. (physics) In quantum mechanics, the observable, denoted by ''H'', that corresponds to the total energy of the system. ¹
3. Noun. A native or inhabitant of any city named Hamilton. ¹
4. Adjective. (alternative capitalization of Hamiltonian) ¹
¹ Source: wiktionary.com