quantitykind:HamiltonFunction
http://qudt.org/vocab/quantitykind/HamiltonFunction
Types:
qudt:QuantityKind| Predicate | Object |
|---|---|
rdf:type |
qudt:QuantityKind |
dcterms:description |
The Hamilton function, or Hamiltonian, \(H\) of a mechanical system is the Legendre transform of the Lagrange function, \(H = \sum_i p_i\dot{q_i} - L\), expressed in terms of the generalized coordinates \(q_i\) and their conjugate momenta \(p_i\). When the constraints and the potential are independent of time it equals the total energy (kinetic plus potential) of the system, and it accordingly has the dimension of energy. |
qudt:applicableUnit |
|
qudt:hasDimensionVector |
qkdv:A0E0L2I0M1H0T-2D0 |
qudt:informativeReference |
https://en.wikipedia.org/wiki/Hamiltonian_mechanics |
qudt:isoNormativeReference |
http://www.iso.org/iso/catalogue_detail?csnumber=31889 |
qudt:latexDefinition |
\(H = \sum p_i\dot{q_i} - L\), where \(p_i\) is a generalized momentum, \(\dot{q_i}\) is a generalized velocity, and \(L\) is the Lagrange function. |
qudt:plainTextDescription |
“The Hamilton function, or Hamiltonian, H of a mechanical system is the Legendre transform of the Lagrange function, H = sum_i p_i q_i-dot - L, expressed in terms of the generalized coordinates q_i and their conjugate momenta p_i. When the constraints and the potential are independent of time it equals the total energy (kinetic plus potential) of the system, and it accordingly has the dimension of energy. ” |
qudt:specializationOf |
quantitykind:Energy |
qudt:symbol |
“H” |
rdfs:comment |
“Applicable units are those of quantitykind:HamiltonFunction” |
rdfs:isDefinedBy |
http://qudt.org/3.5.0/vocab/quantitykind |
rdfs:label |
“Hamilton Function”@en |
skos:broader |
quantitykind:Energy |
Generated 2026-07-28T13:52:55.573+00:00