Hamiltonian
noun
A mathematical function that describes the total energy of a system, used in both classical and quantum mechanics.
In quantum mechanics, the Hamiltonian represents the energies of the particles in the system.
Usage tips
Neutral
Hamiltonian mechanics, Hamiltonian systems, Hamiltonian operator
adjective
Referring to something related to or derived from the mathematical theories developed by William Rowan Hamilton.
Hamiltonian mechanics is a reformulation of classical mechanics.
Usage tips
Formal
Hamiltonian dynamics, Hamiltonian formalism, canonical transformations
noun
A mathematical function that describes the total energy of a system, used in both classical and quantum mechanics.
In quantum mechanics, the Hamiltonian represents the energies of the particles in the system.
Usage tips
Neutral
Hamiltonian mechanics, Hamiltonian systems, Hamiltonian operator
adjective
Referring to something related to or derived from the mathematical theories developed by William Rowan Hamilton.
Hamiltonian mechanics is a reformulation of classical mechanics.
Usage tips
Formal
Hamiltonian dynamics, Hamiltonian formalism, canonical transformations
Definition 1 of 2
Pro Tip 1/3Mathematics
Hamiltonians are essential in mathematical modeling of physical systems.
The formula used is key in various physics applications.
Pro Tip 2/3Physics
In quantum physics, understanding the Hamiltonian allows deeper insight into particle behavior.
It represents a fundamental concept for analysis.
Pro Tip 3/3Formality
The term is often used in formal scientific discussions and papers.
Use it appropriately in academic contexts.
Pro Tip 1/3Mathematics
Hamiltonians are essential in mathematical modeling of physical systems.
The formula used is key in various physics applications.
Pro Tip 2/3Physics
In quantum physics, understanding the Hamiltonian allows deeper insight into particle behavior.
It represents a fundamental concept for analysis.
Pro Tip 3/3Formality
The term is often used in formal scientific discussions and papers.
Use it appropriately in academic contexts.
Pro Tip 1/3Mathematics
Hamiltonians are essential in mathematical modeling of physical systems.
The formula used is key in various physics applications.
Pro Tip 2/3Physics
In quantum physics, understanding the Hamiltonian allows deeper insight into particle behavior.
It represents a fundamental concept for analysis.
Pro Tip 3/3Formality
The term is often used in formal scientific discussions and papers.
Use it appropriately in academic contexts.
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