Moyal product (Q6927583)

associative, non-commutative product on the functions on ℝ²ⁿ

star product
Weyl–Groenewold product
phase-space star product

Language	Label	Description	Also known as
English	Moyal product	associative, non-commutative product on the functions on ℝ²ⁿ	star product Weyl–Groenewold product phase-space star product

Statements

instance of

binary operation

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defining formula

f\star g=m\circ \exp \left({\frac {1}{2}}\mathrm {i} \hbar \Pi ^{ij}\partial _{i}\partial _{j}\right)(f\otimes g)=fg+{\frac {1}{2}}\mathrm {i} \hbar \Pi ^{ij}(\partial _{i}f)(\partial _{j}g)-{\frac {1}{8}}\hbar ^{2}\Pi ^{ij}\Pi ^{km}(\partial _{i}\partial _{k}f)(\partial _{j}\partial _{m}g)+\dotsb

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in defining formula

\star

symbol represents

Moyal product

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\Pi ^{ij}

symbol represents

bivector

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Identifiers

Freebase ID

/m/0683m2

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Microsoft Academic ID

2780856206

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Moyal product (Q6927583)

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Moyal product (Q6927583)

Statements

Identifiers

Sitelinks

Wikipedia(3 entries)

Wikibooks(0 entries)

Wikinews(0 entries)

Wikiquote(0 entries)

Wikisource(0 entries)

Wikiversity(0 entries)

Wikivoyage(0 entries)

Wiktionary(0 entries)

Multilingual sites(0 entries)

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