Concepedia

Canonical Commutation Relations

Canonical Commutation Relations is a fundamental algebraic structure in quantum mechanics that specifies the commutation relations between quantum observables corresponding to canonically conjugate variables, most notably position and momentum, by defining their associated operators to satisfy the relation $[ \hat{q}, \hat{p} ] = i\hbar$, distinguishing it as the foundational operator identity underlying the mathematical formulation of quantum theory.

611

Publications

32.9K

Citations

853

Authors

480

Institutions

Publications per year

2017–2026

39

Parents

Publications

611

Simplification of the molecular vibration-rotation hamiltonian

J. K. G. Watson · Molecular Physics · 1968 · 1.1K citations

, , +17

Quantum Cosmology. I

Charles W. Misner · Physical Review · 1969 · 528 citations

, , +15

Non-pointlike particles in harmonic oscillators

Achim Kempf · Journal of Physics A Mathematical and General · 1997 · 469 citations · Full text

, , +15

Hamiltonian operators and algebraic structures related to them

I. M. Gel'fand, I. Ya. Dorfman · Functional Analysis and Its Applications · 1979 · 441 citations

, , +14

Representations of the Canonical Commutation Relations Describing a Nonrelativistic Infinite Free Bose Gas

H. Araki, E. J. Woods · Journal of Mathematical Physics · 1963 · 413 citations

, , +12

1–5 of 611

Authors

853

  1. HA
    Huzihiro Araki

    Kyoto University, Japan

    9 publications · 733 citations

    9

    h-index

  2. CQ
    C. Quesne

    Université Libre de Bruxelles, Belgium

    7 publications · 583 citations

    7

    h-index

  3. GA
    Guillermo A. Mena Marugán

    Instituto de Estructura de la Materia, Spain

    6 publications · 185 citations

    6

    h-index

  4. JC
    Jerónimo Cortez

    Universidad Nacional Autónoma de México, Mexico

    6 publications · 185 citations

    6

    h-index

  5. JM
    José M. Velhinho

    University of Beira Interior, Portugal

    6 publications · 185 citations

    6

    h-index

1–5 of 853

Institutions

480

  1. Universidad Nacional Autónoma de México

    Mexico City, Mexico

    13 h-index

    29 publications

    1.1K citations

  2. Kyoto University

    Kyoto, Japan

    12 h-index

    17 publications

    803 citations

  3. University of Maryland, College Park

    College Park, United States

    11 h-index

    19 publications

    1.2K citations

  4. Université Libre de Bruxelles

    Brussels, Belgium

    10 h-index

    11 publications

    895 citations

  5. University of Rochester

    Rochester, United States

    9 h-index

    12 publications

    1.1K citations

  6. Massachusetts Institute of Technology

    Cambridge, United States

    9 h-index

    12 publications

    1K citations

  7. Cornell University

    Ithaca, United States

    9 h-index

    11 publications

    633 citations

  8. University of Göttingen

    Göttingen, Germany

    8 h-index

    11 publications

    445 citations

1–8 of 480

Venues

  1. Journal of Mathematical Physics

    65 publications · 3.5K citations

    28

    h-index

  2. 22

    h-index

  3. Physical Review

    31 publications · 2.8K citations

    21

    h-index

  4. Physical Review A

    PRA · 25 publications · 2.4K citations

    20

    h-index

  5. Communications in Mathematical Physics

    24 publications · 1.7K citations

    20

    h-index

1–5