Poisson bracket
bilinear differential operation on scalar fields on a symplectic (or, more generally, Poisson) manifold
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Poisson bracket
Summary
Poisson bracket is a mathematical concept[1]. It draws 294 Wikipedia views per month (mathematical_concept category, ranking #113 of 1,007).[2]
Key Facts
- Poisson bracket's instance of is recorded as mathematical concept[3].
- Poisson bracket's subclass of is recorded as binary operation[4].
- Poisson bracket's subclass of is recorded as Lie bracket[5].
- Poisson bracket's subclass of is recorded as Jacobi brackets[6].
- Poisson bracket's part of is recorded as Poisson algebra[7].
- Poisson bracket's part of is recorded as Poisson manifold[8].
- Poisson bracket's Freebase ID is recorded as /m/01r00_[9].
- Poisson bracket's Stack Exchange tag is recorded as https://physics.stackexchange.com/tags/poisson-brackets[10].
- Poisson bracket's defining formula is recorded as {f,g}=(\omega^{-1})^{IJ}\partial_If\partial_Jg=\sum_{i=1}^n\frac{\partial f}{\partial q^i}\frac{\partial g}{\partial p_i}-\frac{\partial g}{\partial q^i}\frac{\partial f}{\partial p_i}[11].
- Poisson bracket's MathWorld ID is recorded as PoissonBracket[12].
- Poisson bracket's Encyclopædia Universalis ID is recorded as structures-de-poisson-et-nambu[13].
- Poisson bracket's maintained by WikiProject is recorded as WikiProject Mathematics[14].
- Poisson bracket's Microsoft Academic ID is recorded as 188845816[15].
- Poisson bracket's in defining formula is recorded as (M,\omega_{IJ})[16].
- Poisson bracket's in defining formula is recorded as (q^i,p_i)[17].
- Poisson bracket's in defining formula is recorded as {-,-}[18].
- Poisson bracket's in defining formula is recorded as f,g[19].
- Poisson bracket's Encyclopedia of Mathematics article ID is recorded as Poisson_brackets[20].
- Poisson bracket's Namuwiki ID is recorded as 푸아송 괄호[21].
- Poisson bracket's OpenAlex ID is recorded as C188845816[22].
- Poisson bracket's ScienceDirect topic ID is recorded as mathematics/poisson-bracket[23].
- Poisson bracket's ScienceDirect topic ID is recorded as engineering/poisson-bracket[24].
- Poisson bracket's ScienceDirect topic ID is recorded as computer-science/poisson-bracket[25].
- Poisson bracket's Encyclopedia of China is recorded as 301490[26].
Why It Matters
Poisson bracket draws 294 Wikipedia views per month (mathematical_concept category, ranking #113 of 1,007).[2] It has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[27] It is known by 23 alternative names across languages and contexts.[28]