Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Baker–Campbell–Hausdorff_formula> ?p ?o }
- Baker–Campbell–Hausdorff_formula abstract "In mathematics, the Baker–Campbell–Hausdorff formula is the solution to Z = log(eX eY)for possibly noncommutative X and Y in the Lie algebra of a Lie group. This formula tightly links Lie groups to Lie algebras by expressing the logarithm of the product of two Lie group elements as a Lie algebra element using only Lie algebraic operations. The solution on this form, whenever defined, means that multiplication in the group can be expressed entirely in Lie algebraic terms. The solution on another form is straightforward to obtain; one just substitutes the power series for exp and log in the equation and rearranges. The point is to express the solution in Lie algebraic terms. This occupied the time of several prominent mathematicians.The formula is named after Henry Frederick Baker, John Edward Campbell, and Felix Hausdorff who discovered its qualitative form, i.e. that only commutators and commutators of commutators, ad infinitum, are needed to express the solution. This qualitative form is what is used in the most important applications, such as the relatively accessible proofs of the Lie correspondence and in quantum field theory. It was first noted in print by Campbell (1897); elaborated by Henri Poincaré (1899) and Baker (1902); and systematized geometrically, and linked to the Jacobi identity by Hausdorff (1906). The first actual explicit formula, with all numerical coefficients, is due to Eugene Dynkin (1947).".
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- Baker–Campbell–Hausdorff_formula wikiPageExternalLink S0273-0979-1982-14972-2.pdf.
- Baker–Campbell–Hausdorff_formula wikiPageExternalLink CBH.pdf.
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- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Cambridge_University_Press.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Category:Combinatorics.
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- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Category:Lie_groups.
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- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Eugene_Dynkin.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Exponential_map_(Lie_theory).
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Felix_Hausdorff.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Formal_power_series.
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- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Golden–Thompson_inequality.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink H._F._Baker.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Hans_Zassenhaus.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Heisenberg_group.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Henri_Poincaré.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Hilbert_space.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Hopf_algebra.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink If_and_only_if.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Jacobi_identity.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Jean-Pierre_Serre.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink John_Edward_Campbell.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Kurt_Otto_Friedrichs.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Lie_algebra.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Lie_group.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Lie_group–Lie_algebra_correspondence.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Lie_product_formula.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Logarithm.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Logarithm_of_a_matrix.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Magnus_expansion.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Martin_Eichler.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Mathematics.
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- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Nilpotent_group.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Power_series.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Primitive_element_(co-algebra).
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Quantum_field_theory.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Quantum_mechanics.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Quantum_optics.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Representation_theory_of_the_Lorentz_group.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Shlomo_Sternberg.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Springer_Publishing.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Stone–von_Neumann_theorem.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Universal_enveloping_algebra.
- Baker–Campbell–Hausdorff_formula wikiPageWikiLink Wilfried_Schmid.
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- Baker–Campbell–Hausdorff_formula wikiPageWikiLinkText "An explicit Baker–Campbell–Hausdorff formula".
- Baker–Campbell–Hausdorff_formula wikiPageWikiLinkText "BCH expansion".
- Baker–Campbell–Hausdorff_formula wikiPageWikiLinkText "BCH".
- Baker–Campbell–Hausdorff_formula wikiPageWikiLinkText "Baker–Campbell–Hausdorff formula".
- Baker–Campbell–Hausdorff_formula wikiPageWikiLinkText "Baker–Campbell–Hausdorff formula".
- Baker–Campbell–Hausdorff_formula wikiPageWikiLinkText "Baker–Campbell–Hausdorff_formula#The_Zassenhaus_formula".
- Baker–Campbell–Hausdorff_formula wikiPageWikiLinkText "CBH expansion".
- Baker–Campbell–Hausdorff_formula wikiPageWikiLinkText "Campbell–Baker–Hausdorff expansion".
- Baker–Campbell–Hausdorff_formula wikiPageWikiLinkText "Dynkin's series formula".
- Baker–Campbell–Hausdorff_formula wikiPageWikiLinkText "Eichler's proof of the CBH theorem".
- Baker–Campbell–Hausdorff_formula wikiPageWikiLinkText "Hadamard lemma".
- Baker–Campbell–Hausdorff_formula wikiPageWikiLinkText "Zassenhaus dual expansion".
- Baker–Campbell–Hausdorff_formula wikiPageWikiLinkText "here".
- Baker–Campbell–Hausdorff_formula wikiPageWikiLinkText "integral formula".
- Baker–Campbell–Hausdorff_formula author "Yu.A. Bakhturin".
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- Baker–Campbell–Hausdorff_formula title "Campbell–Hausdorff formula".
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