Concepedia

Geometric Quantization

Geometric Quantization is a mathematical framework within symplectic geometry that systematically constructs quantum mechanical systems from classical Hamiltonian systems by associating Hilbert spaces and operators to symplectic manifolds equipped with additional geometric structures such as prequantum line bundles and polarizations.

404

Publications

18.6K

Citations

503

Authors

336

Institutions

Publications per year

2017–2026

43

Parents

Publications

404

Geometric quantum computation using nuclear magnetic resonance

Jonathan A. Jones, Vlatko Vedral, Artur Ekert et al. · Nature · 2000 · 822 citations · Full text

, , +13

A simple geometrical construction of deformation quantization

Boris Fedosov · Journal of Differential Geometry · 1994 · 791 citations · Full text

, , +14

Geometric quantization and multiplicities of group representations

Victor Guillemin, S. Sternberg · Inventiones mathematicae · 1982 · 648 citations

, , +12

Gromov-Witten Invariants and Quantization of Quadratic Hamiltonians

Alexander Givental · Moscow Mathematical Journal · 2001 · 440 citations

, , +16

Geometric quantization of Chern-Simons gauge theory

Scott Axelrod, Steve Della Pietra, Edward Witten · Journal of Differential Geometry · 1991 · 389 citations · Full text

, , +17

1–5 of 404

Authors

503

  1. JE
    Jørgen Ellegaard Andersen

    Aarhus University, Denmark

    6 publications · 138 citations

    6

    h-index

  2. RB
    Ranee Brylinski

    Pennsylvania State University, United States

    5 publications · 178 citations

    5

    h-index

  3. GM
    Gijs M. Tuynman

    Université de Lille, France

    5 publications · 175 citations

    5

    h-index

  4. CR
    Carlo Rovelli

    Centre de Physique Théorique, France

    5 publications · 209 citations

    5

    h-index

  5. AL
    Andrea Loi

    University of Cagliari, Italy

    4 publications · 192 citations

    4

    h-index

1–5 of 503

Institutions

336

  1. University of California, Berkeley

    Berkeley, United States

    12 h-index

    15 publications

    1K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    11 h-index

    17 publications

    1.1K citations

  3. Université Paris Cité

    Paris, France

    10 h-index

    11 publications

    281 citations

  4. Pennsylvania State University

    State College, United States

    7 h-index

    9 publications

    301 citations

  5. Kyoto University

    Kyoto, Japan

    6 h-index

    6 publications

    209 citations

  6. The University of Texas at Austin

    Austin, United States

    6 h-index

    8 publications

    261 citations

  7. Massachusetts Institute of Technology

    Cambridge, United States

    6 h-index

    8 publications

    1.7K citations

  8. University of Maryland, College Park

    College Park, United States

    5 h-index

    7 publications

    521 citations

1–8 of 336

Venues

  1. Journal of Mathematical Physics

    33 publications · 988 citations

    19

    h-index

  2. Communications in Mathematical Physics

    26 publications · 1.4K citations

    19

    h-index

  3. arXiv (Cornell University)

    Repository · 29 publications · 675 citations

    15

    h-index

  4. ArXiv.org

    Repository · 21 publications · 492 citations

    14

    h-index

  5. Journal of Physics A Mathematical and General

    11 publications · 244 citations

    11

    h-index

1–5