Concepedia

Projection-valued Measures

Projection-Valued Measures is a mathematical framework in quantum mechanics that assigns to each measurable subset of a measurable space a projection operator on a Hilbert space, such that the assignment is countably additive and idempotent, thereby formalizing the probabilistic outcomes of quantum observables through orthogonal projections.

29

Publications

1.1K

Citations

45

Authors

31

Institutions

Publications per year

2017–2026

2

Variants

Projection-valued MeasurePvm

Parents

Publications

29

Metric Properties of Projections in Semi-Hilbertian Spaces

M. Laura Arias, Gustavo Corach, M. Celeste Gonzalez · Integral Equations and Operator Theory · 2008 · 131 citations · Full text

, , +8

Measures on projections and physical states

Erik Christensen · Communications in Mathematical Physics · 1982 · 93 citations

, , +11

Measures on Projections in W*-algebras of Type II<sub>1</sub>

F. J. Yeadon · Bulletin of the London Mathematical Society · 1983 · 71 citations

, , +2

Projections of Gibbs measures may be non-Gibbsian

Roberto H. Schonmann · Communications in Mathematical Physics · 1989 · 67 citations

, , +11

Insolubility of the quantum measurement problem for unsharp observables

Paul Busch, Abner Shimony · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · 1996 · 62 citations · Full text

, , +15

1–5 of 29

Authors

45

  1. FJ
    F. J. Yeadon

    University of Hull, United Kingdom

    2 publications · 111 citations

    2

    h-index

  2. JD
    J. D. Maitland Wright

    University of Reading, United Kingdom

    2 publications · 80 citations

    2

    h-index

  3. LJ
    L. J. Bunce

    University of Reading, United Kingdom

    2 publications · 80 citations

    2

    h-index

  4. TA
    T. A. Gillespie

    University of Edinburgh, United Kingdom

    1 publications · 15 citations

    1

    h-index

  5. AK
    A. Kupiainen

    University of Helsinki, Finland

    1 publications · 22 citations

    1

    h-index

1–5 of 45

Institutions

31

  1. University of Hull

    Hull, United Kingdom

    3 h-index

    3 publications

    173 citations

  2. University of Reading

    Reading, United Kingdom

    2 h-index

    3 publications

    135 citations

  3. University of Oulu

    Oulu, Finland

    2 h-index

    3 publications

    37 citations

  4. University of Turku

    Turku, Finland

    2 h-index

    4 publications

    88 citations

  5. University of Iowa

    Iowa City, United States

    2 h-index

    4 publications

    57 citations

  6. Rutgers, The State University of New Jersey

    New Brunswick, United States

    1 h-index

    2 publications

    44 citations

  7. Tohoku University

    Sendai, Japan

    1 h-index

    3 publications

    90 citations

  8. University of Bonn

    Bonn, Germany

    1 h-index

    1 publications

    12 citations

1–8 of 31

Venues

  1. Physical Review A

    PRA · 4 publications · 130 citations

    4

    h-index

  2. Bulletin of the London Mathematical Society

    2 publications · 111 citations

    2

    h-index

  3. Journal of Mathematical Physics

    2 publications · 36 citations

    2

    h-index

  4. Journal of Functional Analysis

    2 publications · 38 citations

    2

    h-index

  5. Chaos Solitons & Fractals

    2 publications · 70 citations

    2

    h-index

1–5