@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix constant: <http://qudt.org/vocab/constant/> .
@prefix dc: <http://purl.org/dc/elements/1.1/> .
@prefix dcterms: <http://purl.org/dc/terms/> .
@prefix prov: <http://www.w3.org/ns/prov#> .
@prefix qkdv: <http://qudt.org/vocab/dimensionvector/> .
@prefix quantitykind: <http://qudt.org/vocab/quantitykind/> .
@prefix qudt: <http://qudt.org/schema/qudt/> .
@prefix si-quantity: <https://si-digital-framework.org/quantities/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix unit: <http://qudt.org/vocab/unit/> .
@prefix vaem: <http://www.linkedmodel.org/schema/vaem#> .
@prefix voag: <http://voag.linkedmodel.org/schema/voag#> .

quantitykind:HamiltonFunction
  a 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:LatexString ;
  qudt:applicableUnit unit:ERG ;
  qudt:applicableUnit unit:EV ;
  qudt:applicableUnit unit:J ;
  qudt:hasDimensionVector qkdv:A0E0L2I0M1H0T-2D0 ;
  qudt:informativeReference "https://en.wikipedia.org/wiki/Hamiltonian_mechanics"^^xsd:anyURI ;
  qudt:isoNormativeReference "http://www.iso.org/iso/catalogue_detail?csnumber=31889"^^xsd:anyURI ;
  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:LatexString ;
  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 .