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Quantization (physics)
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of a pair of functions. More generally, this technique leads to deformation quantization, where the ★-product is taken to be a deformation of the algebraThomas Curtright (339 words) [view diff] exact match in snippet view article find links to article
Liouville theory, geometrostatic sigma models, quantum algebras, and deformation quantization. Curtright is a Fellow of the American Physical Society (1998)Bertrand Toën (320 words) [view diff] case mismatch in snippet view article find links to article
Complex Geometry" with a talk "Derived Algebraic Geometry and Deformation Quantization". He was awarded an ERC Advanced Grant in 2016. In 2019 he receivedDavid Fairlie (460 words) [view diff] exact match in snippet view article find links to article
solutions of gauge theories, higher-dimensional gauge theories, and deformation quantization. He has co-authored several volumes, notably on quantum mechanicsLog semiring (1,025 words) [view diff] no match in snippet view article find links to article
{\displaystyle b\to 0} (min-plus semiring), and thus can be viewed as a deformation ("quantization") of the tropical semiring. Notably, the addition operation, logaddPhase-space formulation (3,604 words) [view diff] no match in snippet view article find links to article
have branched into mathematical offshoots such as Kontsevich's deformation-quantization (see Kontsevich quantization formula) and noncommutative geometryAnton Alekseev (mathematician) (573 words) [view diff] case mismatch in snippet view article
A. Rossi, Charles Torossian, Thomas Willwacher: Logarithms and Deformation Quantization, Inventiones Mathematicae, vol. 206, 2016, pp. 1–26, Arxiv withMaxim Kontsevich (713 words) [view diff] exact match in snippet view article find links to article
quantization, and mirror symmetry. One of his results is a formal deformation quantization that holds for any Poisson manifold. He also introduced the KontsevichDifferential operator (3,693 words) [view diff] exact match in snippet view article find links to article
appears, for instance, in an associative algebra structure on a deformation quantization of a Poisson algebra. A microdifferential operator is a type ofPierre Bieliavsky (294 words) [view diff] case mismatch in snippet view article find links to article
Science, Letters and Fine Arts of Belgium (2015) with Victor Gayral, Deformation Quantization for Actions of Kählerian Lie Groups, Volume 236, Number 1115, MemoirsPoisson manifold (12,662 words) [view diff] exact match in snippet view article find links to article
(1993–1994). "Deformation quantization". Séminaire Bourbaki. 36: 389–409. ISSN 0303-1179. Kontsevich, Maxim (2003-12-01). "Deformation Quantization of PoissonNambu mechanics (886 words) [view diff] case mismatch in snippet view article find links to article
Takhtajan; Flato, Moshe; Sternheimer, Daniel; Giuseppe, Dito (1997). "Deformation Quantization and Nambu Mechanics". Communications in Mathematical Physics. 183Giovanni Felder (782 words) [view diff] exact match in snippet view article find links to article
in 2000 he gave a path integral interpretation of Kontsevich's deformation quantization of Poisson manifolds as well as a description of the symplecticMartin Schlichenmaier (596 words) [view diff] exact match in snippet view article find links to article
Schlichenmaier, Martin (2001), "Identification of Berezin-Toeplitz deformation quantization" (PDF), J. reine angew. Math., 2001 (540): 49–76, doi:10.1515/crllCanonical commutation relation (3,019 words) [view diff] exact match in snippet view article find links to article
equivalent mathematical representation of quantum mechanics known as deformation quantization. According to the correspondence principle, in certain limits theMaurice A. de Gosson (2,097 words) [view diff] exact match in snippet view article find links to article
(2011), no. 1, 115–139 (with N. Dias F. Luef, J. Prata, João) A deformation quantization theory for noncommutative quantum mechanics. J. Math. Phys. 51Shaw Prize (3,546 words) [view diff] exact match in snippet view article find links to article
in algebra, geometry and mathematical physics and in particular deformation quantization, motivic integration and mirror symmetry. 2013 David L. DonohoGeometry Festival (2,867 words) [view diff] case mismatch in snippet view article find links to article
Tribute to Louis Nirenberg Akito Futaki (Yau Center, Tsinghua) - Deformation Quantization, and Obstructions to the Existence of Closed Star Products Jean-PierreMethod of quantum characteristics (3,908 words) [view diff] exact match in snippet view article find links to article
Op(L2(Rn)). This property is fully transferred to the phase space upon deformation quantization and, in the limit of ħ → 0, to the classical mechanics. Table compares