Hamiltonian: meaning, definitions and examples
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Hamiltonian
[ ˌhæmɪlˈtoʊniən ]
physics
A Hamiltonian is a mathematical operator corresponding to the total energy of a system in quantum mechanics. It is used to describe the dynamics of the system and is an essential concept in theoretical physics.
Synonyms
energy operator, total energy operator
Examples of usage
- The Hamiltonian operator plays a crucial role in determining the behavior of quantum systems.
- In quantum mechanics, the time evolution of a system is governed by the Hamiltonian.
mathematics
In mathematics, a Hamiltonian is a function used to describe the state of a dynamic system in terms of position and momentum variables. It is often used in classical mechanics and differential equations.
Synonyms
Hamilton function, Hamiltonian function
Examples of usage
- The Hamiltonian function can be used to derive the equations of motion for a physical system.
- Hamiltonian mechanics provides a powerful framework for understanding the behavior of dynamical systems.
Translations
Translations of the word "Hamiltonian" in other languages:
🇵🇹 Hamiltoniano
🇮🇳 हैमिल्टोनियन
🇩🇪 Hamiltonian
🇮🇩 Hamiltonian
🇺🇦 Гамільтоніан
🇵🇱 Hamiltonian
🇯🇵 ハミルトニアン
🇫🇷 Hamiltonien
🇪🇸 Hamiltoniano
🇹🇷 Hamiltonyen
🇰🇷 해밀토니안
🇸🇦 هاميلتوني
🇨🇿 Hamiltonián
🇸🇰 Hamiltonián
🇨🇳 哈密顿量
🇸🇮 Hamiltonian
🇮🇸 Hamiltonian
🇰🇿 Гамильтониан
🇬🇪 ჰამილტონიანი
🇦🇿 Hamiltonian
🇲🇽 Hamiltoniano
Word origin
The term 'Hamiltonian' is named after Sir William Rowan Hamilton, an Irish mathematician, and physicist who introduced the concept in the 19th century. Hamilton's work on mechanics and optics laid the foundation for the development of the Hamiltonian formalism in physics and mathematics.