Keyword

deformation quantization

Description: Deformation quantization is a mathematical framework that deforms a classical Poisson algebra into a noncommutative algebra to describe quantum systems.

Primary topic: Homotopy and Cohomology in Algebraic Topology (46%)

Wikidata ID: wiki/Q131143202

OpenAlex ID: keywords/deformation-quantization

Deformation Quantization of Poisson Manifolds

2003 · Maxim Kontsevich · Letters in Mathematical Physics · 2,318

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Lectures on the Geometry of Poisson Manifolds

1994 · Izu Vaisman · Birkhäuser Basel eBooks · 816

A simple geometrical construction of deformation quantization

1994 · Boris V. Fedosov · Journal of Differential Geometry · 738

Deformation theory and quantization. II. Physical applications

1978 · F Bayen, M Flato, et al. · Annals of Physics · 664

D-branes and deformation quantization

1999 · Volker Schomerus · Journal of High Energy Physics · 587

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Operads and Motives in Deformation Quantization

1999 · Maxim Kontsevich · Letters in Mathematical Physics · 501

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Operads in Algebra, Topology and Physics

2007 · Martin Markl, Steve Shnider, et al. · Mathematical surveys and monographs · 465

Deformation Quantization and Index Theory

1995 · Boris Fedosov · 460

A Path Integral Approach¶to the Kontsevich Quantization Formula

2000 · Alberto S. Cattaneo, Giovanni Felder · Communications in Mathematical Physics · 417

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Geometric Models for Noncommutative Algebras

1999 · Ana Cannas da Silva, Alan Weinstein · 411

A path integral approach to the Kontsevich quantization formula

2000 · Cattaneo, A S, Felder, G · Zurich Open Repository and Archive (University of Zurich) · 410

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Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds

1983 · Marc de Wilde, Pierre B. A. Lecomte · Letters in Mathematical Physics · 381

Poisson Geometry with a 3-Form Background

2001 · Pavol Ševera, Alan Weinstein · Progress of Theoretical Physics Supplement · 371

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Higher-Dimensional Algebra and Topological Quantum Field Theory

1995 · John C. Baez, James Dolan · 365

Deformation Quantization for Actions of R ]D

1993 · Marc A. Rieffel · 326

Higher-dimensional algebra and topological quantum field theory

1995 · John C. Baez, James Dolan · Journal of Mathematical Physics · 317

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Deformation quantization of Heisenberg manifolds

1989 · Marc A. Rieffel · Communications in Mathematical Physics · 294

Quantization Methods: a Guide for Physicists and Analysts

2005 · S. TWAREQUE ALI, MIROSLAV ENGLIŠ · Reviews in Mathematical Physics · 259

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Derived algebraic geometry

2014 · Bertrand Toën · EMS Surveys in Mathematical Sciences · 250

Quantum mechanics as a deformation of classical mechanics

1977 · F. Bayen, M. Flato, et al. · Letters in Mathematical Physics · 236

Algebraic index theorem

1995 · Ryszard Nest, Boris Tsygan · Communications in Mathematical Physics · 234

Weyl manifolds and deformation quantization

1991 · Hideki Omori, Yoshiaki Maeda, et al. · Advances in Mathematics · 220

An explicit *-product on the cotangent bundle of a Lie group

1983 · S. Gutt · Letters in Mathematical Physics · 201

Deformation Quantization of Algebraic Varieties

2001 · Maxim Kontsevich · Letters in Mathematical Physics · 189

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Deformation Quantization: Quantum Mechanics Lives and Works in Phase-space

2002 · COSMAS ZACHOS · International Journal of Modern Physics A · 182

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Works count: 2,395

Citation count: 30,940