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  1. 8 Structure of Hilbert Space

    Before we can actually start to analyze the structure of compound Hilbert spaces in a similar way in which the topology of phase space has been...
    J. Gemmer, M. Michel, G. Mahler in Quantum Thermodynamics
    Chapter
  2. The Hilbert space of de Sitter quantum gravity

    We obtain solutions of the Wheeler-DeWitt equation with positive cosmological constant for a closed universe in the large-volume limit. We argue that...

    Tuneer Chakraborty, Joydeep Chakravarty, ... Suvrat Raju in Journal of High Energy Physics
    Article Open access 23 January 2024
  3. C Hilbert Space Averages and Variances

    In this chapter we calculate the concrete Hilbert space average of the special quantities introduced in Chap. 17, i.e. k gr...
    J. Gemmer, M. Michel, G. Mahler in Quantum Thermodynamics
    Chapter
  4. Doubled Hilbert space in double-scaled SYK

    We consider matter correlators in the double-scaled SYK (DSSYK) model. It turns out that matter correlators have a simple expression in terms of the...

    Kazumi Okuyama in Journal of High Energy Physics
    Article Open access 17 April 2024
  5. Kinematical Hilbert Space

    This chapter covers the conceptual structure of spacetime in terms of loop states, as well as the formulation of operators which extract physical...
    Sundance Bilson-Thompson in Loop Quantum Gravity for the Bewildered
    Chapter 2024
  6. The bulk Hilbert space of double scaled SYK

    The emergence of the bulk Hilbert space is a mysterious concept in holography. In [ 1 ], the SYK model was solved in the double scaling limit by...

    Article Open access 11 November 2022
  7. Continuous percolation in a Hilbert space for a large system of qubits

    The development of percolation theory was historically shaped by its numerous applications in various branches of science, in particular in...

    Shohei Watabe, Michael Zach Serikow, ... Alexandre Zagoskin in The European Physical Journal Special Topics
    Article Open access 14 November 2023
  8. Hilbert Space: An Introduction

    An elementary introduction to Hilbert spaces is given.
    Chapter 2023
  9. Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space

    Abstract

    Random Hamiltonian flows in an infinite-dimensional phase space is represented by random unitary groups in a Hilbert space. For this, the...

    V. M. Busovikov, Yu. N. Orlov, V. Zh. Sakbaev in Theoretical and Mathematical Physics
    Article 27 February 2024
  10. investigating nonlinear fractional systems: reproducing kernel Hilbert space method

    The reproducing kernel Hilbert space method (RK-HS method) is used in this research for solving some important nonlinear systems of fractional...

    Nourhane Attia, Ali Akgül, Rubayyi T. Alqahtani in Optical and Quantum Electronics
    Article 23 November 2023
  11. Many-body Hilbert space scarring on a superconducting processor

    Quantum many-body scarring (QMBS) is a recently discovered form of weak ergodicity breaking in strongly interacting quantum systems, which presents...

    Pengfei Zhang, Hang Dong, ... Ying-Cheng Lai in Nature Physics
    Article 13 October 2022
  12. Strong rojections in Hilbert Space and Quantum Logic

    In the paper we study linear operators on complex Hilbert spaces which are strong real-orthogonal projections. It is a generalization of such...

    Marjan Matvejchuk, Elena Vladova in International Journal of Theoretical Physics
    Article 24 September 2022
  13. Extension of the Generalized Lebesgue–Feynman–Smolyanov Measure on a Hilbert Space

    Abstract

    As is well known, on an infinite-dimensional Hilbert space, there is no countably additive sigma-finite locally finite nonzero...

    Article 17 March 2023
  14. Global anomalies on the Hilbert space

    We show that certain global anomalies can be detected in an elementary fashion by analyzing the way the symmetry algebra is realized on the torus...

    Diego Delmastro, Davide Gaiotto, Jaume Gomis in Journal of High Energy Physics
    Article Open access 18 November 2021
  15. B Hilbert Space Average under Microcanonical Conditions

    We consider a space with the Cartesian coordinates {η AB ab ,ξ AB...
    J. Gemmer, M. Michel, G. Mahler in Quantum Thermodynamics
    Chapter
  16. Erratum to: Higher spin de Sitter Hilbert space

    Dionysios Anninos, Frederik Denef, ... Zimo Sun in Journal of High Energy Physics
    Article Open access 14 June 2024
  17. Differences and Commutators of Projections on a Hilbert Space

    We establish some new properties of pairs of idempotents and pairs of projections on a Hilbert space. The functional dependences of some operators...

    Article 22 January 2022
  18. The Hilbert space of large N Chern-Simons matter theories

    We demonstrate that the known expressions for the thermal partition function of large N Chern-Simons matter theories admit a simple Hilbert space...

    Shiraz Minwalla, Amiya Mishra, ... Tarun Sharma in Journal of High Energy Physics
    Article Open access 04 July 2022
  19. Hilbert series for ALP EFTs

    Axions and axion-like particles (ALPs) are ubiquitous in popular attempts to solve supercalifragilisticexpialidocious puzzles of Nature. A widespread...

    Christophe Grojean, Jonathan Kley, Chang-Yuan Yao in Journal of High Energy Physics
    Article Open access 27 November 2023
  20. Riemann-Hilbert problems, Toeplitz operators and ergosurfaces

    The Riemann-Hilbert approach, in conjunction with the canonical Wiener-Hopf factorisation of certain matrix functions called monodromy matrices,...

    M. Cristina Câmara, Gabriel Lopes Cardoso in Journal of High Energy Physics
    Article Open access 05 June 2024
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