Lie algebra and Moyal bracket

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Lie algebra and Moyal bracket

Lie algebra vs. Moyal bracket

In mathematics, a Lie algebra (pronounced "Lee") is a vector space \mathfrak g together with a non-associative, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g; (x, y) \mapsto, called the Lie bracket, satisfying the Jacobi identity. In physics, the Moyal bracket is the suitably normalized antisymmetrization of the phase-space star product.

Similarities between Lie algebra and Moyal bracket

Lie algebra and Moyal bracket have 4 things in common (in Unionpedia): Commutator, Jacobi identity, Lie algebra extension, Quantum mechanics.

Commutator

In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative.

Commutator and Lie algebra · Commutator and Moyal bracket · See more »

Jacobi identity

In mathematics the Jacobi identity is a property of a binary operation which describes how the order of evaluation (the placement of parentheses in a multiple product) affects the result of the operation.

Jacobi identity and Lie algebra · Jacobi identity and Moyal bracket · See more »

Lie algebra extension

In the theory of Lie groups, Lie algebras and their representation theory, a Lie algebra extension is an enlargement of a given Lie algebra by another Lie algebra.

Lie algebra and Lie algebra extension · Lie algebra extension and Moyal bracket · See more »

Quantum mechanics

Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

Lie algebra and Quantum mechanics · Moyal bracket and Quantum mechanics · See more »

The list above answers the following questions

What Lie algebra and Moyal bracket have in common
What are the similarities between Lie algebra and Moyal bracket

Lie algebra and Moyal bracket Comparison

Lie algebra has 117 relations, while Moyal bracket has 27. As they have in common 4, the Jaccard index is 2.78% = 4 / (117 + 27).

References

This article shows the relationship between Lie algebra and Moyal bracket. To access each article from which the information was extracted, please visit:

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