In mathematics and physics, deformation quantization roughly amounts to finding a (quantum) algebra whose classical limit is a given (classical) algebra...

context, it is also called the second quantization of fields, in contrast to the semi-classical first quantization of single particles. When it was first...

generalization involving infinite degrees of freedom is field quantization, as in the "quantization of the electromagnetic field", referring to photons as field...

Takhtajan; Flato, Moshe; Sternheimer, Daniel; Giuseppe, Dito (1997). "Deformation Quantization and Nambu Mechanics". Communications in Mathematical Physics. 183...

(1993–1994). "Deformation quantization". Séminaire Bourbaki. 36: 389–409. ISSN 0303-1179. Kontsevich, Maxim (2003-12-01). "Deformation Quantization of Poisson...

modern abstractions include deformation quantization and geometric quantization.) Expectation values in phase-space quantization are obtained isomorphically...

Stefan Waldmann: On the representation theory of deformation quantization, In: Deformation Quantization: Proceedings of the Meeting of Theoretical Physicists...

the deformation quantization of the corresponding Poisson algebra. It is due to Maxim Kontsevich. Given a Poisson algebra (A, {⋅, ⋅}), a deformation quantization...

appears, for instance, in an associative algebra structure on a deformation quantization of a Poisson algebra. A microdifferential operator is a type of...

equivalent mathematical representation of quantum mechanics known as deformation quantization. According to the correspondence principle, in certain limits the...

quantization is a mathematical approach to defining a quantum theory corresponding to a given classical theory. It attempts to carry out quantization...

most notably on knot theory, quantization, and mirror symmetry. One of his results is a formal deformation quantization that holds for any Poisson manifold...

reduced Planck constant ħ, so the "deformation parameter" ħ/S can be effectively taken to be zero (cf. Weyl quantization.) Thus typically, quantum commutators...

in the areas of algebraic geometry, differential geometry, and deformation quantization. In 2006, the Government of India awarded him the Shanti Swarup...

into mathematical offshoots such as Kontsevich's deformation-quantization (see Kontsevich quantization formula) and noncommutative geometry. The phase-space...

Pyramid vector quantization (PVQ) is a method used in audio and video codecs to quantize and transmit unit vectors, i.e. vectors whose magnitudes are...

mathematician, working in noncommutative algebra, algebraic geometry and deformation quantization. He is a professor of mathematics at the Ben-Gurion University...

Weyl quantization. It is now understood that Weyl quantization does not satisfy all the properties one would require for consistent quantization and therefore...

invited speaker, with the talk From topological field theory to deformation quantization and reduction, at the International Congress of Mathematicians...

"deformed", although the deformation will no longer remain a group algebra or enveloping algebra. More precisely, deformation can be accomplished within...

coisotropic completely integrable system Darboux chart deformation quantization deformation quantization. dilating derived symplectic geometry Derived algebraic...

{\mathfrak {a}}[\![u]\!]} is called a deformation quantization of a {\displaystyle {\mathfrak {a}}} . A quantized enveloping algebra. The dual of such...

A. Rossi, Charles Torossian, Thomas Willwacher: Logarithms and Deformation Quantization, Inventiones Mathematicae, vol. 206, 2016, pp. 1–26, Arxiv with...

in algebra, geometry and mathematical physics and in particular deformation quantization, motivic integration and mirror symmetry. 2013 David L. Donoho...

generalizations are index theorems based on spectral triples and deformation quantization of Poisson structures. An elliptic operator D on a compact smooth...

version of Poisson and coisotropic structures with applications to deformation quantization. Lately Toën and Vezzosi (partly in collaboration with Anthony...

algebra but instead an associative algebra that can be regarded as a deformation of the universal enveloping algebra of s l 2 {\displaystyle {\mathfrak...

{\displaystyle b\to 0} ⁠ (min-plus semiring), and thus can be viewed as a deformation ("quantization") of the tropical semiring. Notably, the addition operation, logadd...

Liouville theory, geometrostatic sigma models, quantum algebras, and deformation quantization. Curtright is a Fellow of the American Physical Society (1998)...

(2011), no. 1, 115–139 (with N. Dias F. Luef, J. Prata, João) A deformation quantization theory for noncommutative quantum mechanics. J. Math. Phys. 51...