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10-11

total angular momentum

URNurn:iso:std:iso:80000:-10:ed-2:en:item:10-11

https://metanorma.github.io/isq-smart/quantities/part-10/t10-11
urn:iso:std:iso:80000:-10:ed-2:en:item:10-11

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-10:ed-2:en:item:10-11

IEC

urn:iec:std:iec:80000-10:2019:::item:10-11

Designations

ENtotal angular momentum

FRmoment cinétique total

Symbol

J

Notation systems

Rendered

J

AsciiMath

bb(ii(J))

LaTeX

\mathbf{\mathit{J}}

Definition

vector (ISO 80000-2: Mathematics) quantity in a quantum system composed of the vectorial sum of angular momentum $L$ (ISO 80000-4: Mechanics) and spin $s$ (spin)

grandeur vectorielle (ISO 80000-2: Mathematics) dans un système quantique composée de la somme vectorielle du moment cinétique $L$ (ISO 80000-4: Mechanics) et du spin $s$ (spin)

Units

J \cdot s

joule second

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e V \cdot s

electronvolt second

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k g \cdot m^{2} \cdot s^{- 1}

kilogram square metre per second

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Notes

In atomic and nuclear physics, orbital angular momentum is usually denoted by $l$ or $L$ .

The magnitude of $J$ is quantized so that:

J^{2} = {P{hbar}}^{2} j (j + 1)

where $j$ is the total angular momentum quantum number (total angular momentum quantum number).

Total angular momentum and magnetic dipole moment have the same direction.

$j$ is not the magnitude of the total angular momentum $J$ but its projection onto the quantization axis, divided by $P{hbar}$ .

En physique atomique et nucléaire, le moment cinétique orbital est généralement désigné par $l$ ou $L$ .

La norme de $J$ est quantifiée de sorte que:

J^{2} = {P{hbar}}^{2} j (j + 1)

où $J$ est le nombre quantique du moment cinétique total (total angular momentum quantum number).

Le moment cinétique total et le moment magnétique ont la même direction.

$j$ n'est pas la norme du moment cinétique total $J$ mais le quotient de sa projection sur l'axe de quantification par $P{hbar}$ .

Referenced by

gyromagnetic ratio gyromagnetic ratio of the electron total angular momentum quantum number nuclear spin quantum number

Concept HierarchyPendrill (2024)

L² M T⁻¹L² M T⁻¹ quantitiesLevel 0 · Kind

Broader concepts

◇ L² M T⁻¹ quantities

Ontology
isq:Quantity smart:TermEntry

Class Hierarchy

smart:Entity smart:TermEntryisq:Quantity

A physical quantity as defined in ISO/IEC 80000, with associated symbols, definitions, and units of measurement.

Instance IRI

isq:t10-11

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	10-11
skosxl:prefLabel	"total angular momentum"@en
skosxl:altLabel	"bb(ii(J))"@en
skos:definition	vector (<<iso80000-2>>) quantity in a quantum system composed of the vectorial sum of angular momentum stem:[bb(ii(L))] …
skos:note	In atomic and nuclear physics, orbital angular momentum is usually denoted by stem:[bb(ii(l))] or stem:[bb(ii(L))]. The…
isq:hasUnit	Js (joule second)eVs (electronvolt second)kgm^2s^(-1) (kilogram square metre per second)
isq:hasDimension	isq:Dimension
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-10

Related Entities

isq:QuantityShape isq:part-10 isq:Unit isq:Dimension isq:hasDimension smart:TermEntry

Definition

Units

Notes

Referenced by

Broader concepts

Ontology isq:Quantitysmart:TermEntry

Class Hierarchy

Instance IRI

Properties

Related Entities

Ontology
isq:Quantity smart:TermEntry