@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:EinsteinTransitionProbability
  a qudt:QuantityKind ;
  dcterms:description "Given two atomic states of energy $E_j$ and $E_k$.  Let $E_j > E_k$.  Assume the atom is bathed in radiation of energy density $u(w)$.  Transitions between these states can take place in three different ways. Spontaneous, induced/stimulated emission, and induced absorption. $A_jk$ represents the Einstein transition probability for spontaneous emission."^^qudt:LatexString ;
  qudt:applicableUnit unit:UNITLESS ;
  qudt:hasDimensionVector qkdv:A0E0L0I0M0H0T0D1 ;
  qudt:informativeReference "http://electron6.phys.utk.edu/qm2/modules/m10/einstein.htm"^^xsd:anyURI ;
  qudt:latexDefinition "$\\frac{-dN_j}{dt} = A_jkN_j$, where $-dN_j$ is the number of molecules spontaneously leaving the state j for the state k during a time interval of duration $dt$, $N_j$ is the number of molecules in the state j, and $E_j > E_k$."^^qudt:LatexString ;
  qudt:symbol "A_jkN_j" ;
  rdfs:comment "Applicable units are those of quantitykind:EinsteinTransitionProbability" ;
  rdfs:isDefinedBy <http://qudt.org/3.2.1/vocab/quantitykind> ;
  rdfs:label "Einstein Transition Probability"@en .
