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Quantum deformations, noncommutative geometries and the deformation of dynamical models

2011/01/B/ST2/03354

Keywords

Descriptors

  • ST2_1: Fundamentalne oddziaływania i pola
  • ST2_11: Teoria względności i grawitacja
  • ST1_12: Fizyka matematyczna

Panel

ST2 – Fundamental constituents of matter: particle, nuclear, plasma, atomic, molecular, gas and optical physics

Host institution

Uniwersytet Wrocławski, Wydział Fizyki i Astronomii

Voivodeship: dolnośląskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Jerzy Andrzej Lukierski

Number of co-investigators in the project: 7

Call

OPUS 1 – announced on 2011-03-15

Amount awarded
327 800 PLN
Project start date
2011-12-09
Project end date
2014-12-08
Project duration
36 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. Komputer do multimedialnych prezentacji oraz do obliczeń numerycznych i symbolicznych. Cost: 4 000 PLN
  2. Laptop dla młodszych pracowników naukowych. Cost: 2 000 PLN

Information in the final report

Publication in academic press/journals (30)

  1. Coherent states and quantum numbers for twist-deformed oscillator model

    Authors:
    Marcin Daszkiewicz, Cezary J. Walczyk
    Academic press:
    Acta Physica Polonica B (year: 2014, volume: 45, pages: 917-924), Publisher: Jagiellonian University
    Status:
    Published
    DOI:
    10.5506/APhysPolB.45.917 – link to the publication

  2. Supersymmetrization Schemes of D=4 Maxwell Algebra

    Authors:
    Kiyoshi Kamimura, Jerzy Lukierski
    Academic press:
    Physics Letters B 707 (2012) 292-297 (year: 2012, volume: 707, pages: 292-297), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2011.12.037 – link to the publication

  3. Braided Field Quantization from Quantum Poincare Covariance

    Authors:
    Jerzy Lukierski, Mariusz Woronowicz
    Academic press:
    Int. Jour. Mod. Phys. A (year: 2012, volume: 27, pages: 1250084), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S2010194512006794 – link to the publication

  4. Generalizations of Maxwell (super)algebras by the expansion method

    Authors:
    J. A. de Azcarraga, J. M. Izquierdo, J. Lukierski, M. Woronowicz
    Academic press:
    Nucl. Phys. B (year: 2013, volume: 869, pages: 303-314), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nuclphysb.2012.12.008 – link to the publication

  5. OPERA neutrinos and deformed special relativity

    Authors:
    Giovanni Amelino-Camelia, Laurent Freidel, Jerzy Kowalski-Glikman, Lee Smolin
    Academic press:
    Mod.Phys.Lett. (year: 2012, volume: 27, pages: 1250063), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217732312500630 – link to the publication

  6. Cosmic acceleration from modified gravity with Palatini formalism

    Authors:
    A. Borowiec, M. Kamionka, A. Kurek, M. Szydlowski
    Academic press:
    JCAP 02 (2012) 027 (year: 2012, volume: 2, pages: 27), Publisher: IOPscience
    Status:
    Published
    DOI:
    10.1088/1475-7516/2012/02/027 – link to the publication

  7. N=1/2 Deformations of Chiral Superspaces from New Quantum Poincare and Euclidean Superalgebras

    Authors:
    A. Borowiec, J. Lukierski, M. Mozrzymas, V. N. Tolstoy
    Academic press:
    JHEP 1206 (2012) 154 (year: 2012, volume: 6, pages: 154), Publisher: IOPscience
    Status:
    Published
    DOI:
    10.1007/JHEP06(2012)154 – link to the publication

  8. Kerr black hole in canonically deformed space-time

    Authors:
    Marcin Daszkiewicz, Cezary J. Walczyk
    Academic press:
    ADVANCED STUDIES IN THEORETICAL PHYSICS (year: 2014, volume: 8, pages: 1113-1123), Publisher: HIKARI Ltd.
    Status:
    Published
    DOI:
    10.12988/astp.2014.49127 – link to the publication

  9. Landau energy spectrum and quantum oscillator model for twisted N-enlarged Newton-Hooke space-time

    Authors:
    Marcin Daszkiewicz
    Academic press:
    Acta Physica Polonica B (year: 2014, volume: 45, pages: 2047-2056), Publisher: Jagiellonian University
    Status:
    Published
    DOI:
    10.5506/APhysPolB.45.2047 – link to the publication

  10. Twisting and κ-Poincaré

    Authors:
    Andrzej Borowiec, Jerzy Lukierski and Anna Pachoł
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (year: 2014, volume: 47, pages: 405203 /12s), Publisher: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1751-8113/47/40/405203 – link to the publication

  11. Generalized Poincare algebras, Hopf algebras and kappa-Minkowski spacetime

    Authors:
    D. Kovacevic, S. Meljanac, A. Pachol, R. Strajn
    Academic press:
    Phys.Lett. B711 (2012) 122-127 (year: 2012, volume: 711, pages: 122-127), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2012.03.062 – link to the publication

  12. Massive twistor particle with spin generated by Souriau–Wess–Zumino term and its quantization

    Authors:
    Sergey Fedoruk , JerzyLukierski
    Academic press:
    Physics Letters B (year: 2014, volume: 733, pages: 309–315), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2014.04.059 – link to the publication

  13. κ-Deformations and Extended κ-Minkowski Spacetimes

    Authors:
    Andrzej Borowiec, Anna Pachol
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (year: 2014, volume: 10, pages: 107/ 24s), Publisher: NATL ACAD SCI UKRAINE, INST MATH
    Status:
    Published
    DOI:
    10.3842/SIGMA.2014.107 – link to the publication

  14. Generally covariant formulation of relative locality in curved spacetime

    Authors:
    F. Cianfrani,J. Kowalski-Glikman, and G. Rosati
    Academic press:
    PHYSICAL REVIEW D (year: 2014, volume: 89, pages: 044039 /8s), Publisher: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.89.044039 – link to the publication

  15. Beyond Fock space in three-dimensional semiclassical gravity

    Authors:
    Michele Arzano, Jerzy Kowalski-Glikman and Tomasz Trzesniewski
    Academic press:
    Classical and Quantum Gravity (year: 2014, volume: 31, pages: 035013 /13s), Publisher: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/0264-9381/31/3/035013 – link to the publication

  16. A model of hydrogen atom for twisted acceleration-enlarged Newton-Hooke space-times

    Authors:
    Marcin Daszkiewicz
    Academic press:
    Chin.J.Phys. (year: 2013, volume: 51, pages: 646-656), Publisher: Airiti Librery
    Status:
    Published
    DOI:
    10.6122/CJP.51.646 – link to the publication

  17. Equivalent forces in Newton equation from twist deformations and noninertial coordinate frames

    Authors:
    Marcin Daszkiewicz
    Academic press:
    Mod.Phys.Lett. A28 (2013) 1350154 (year: 2013, volume: 28, pages: 46032), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S021773231350154X – link to the publication

  18. Twist deformation of l-conformal Galilei Hopf algebra

    Authors:
    Marcin Daszkiewicz
    Academic press:
    Adv.Stud.Theor.Phys. 7 (2013) 471-478 (year: 2013, volume: 7, pages: 471-478), Publisher: Hikari Ltd,
    Status:
    Published

  19. Living in Curved Momentum Space

    Authors:
    J. Kowalski-Glikman
    Academic press:
    Int.J.Mod.Phys. A28 (2013) 1330014 (year: 2013, volume: 28, pages: 12420), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217751X13300147 – link to the publication

  20. Unified description for κ-deformations of orthogonal groups

    Authors:
    A. Borowiec, A. Pachol
    Academic press:
    European Physical Journal C (year: 2014, volume: 74, pages: 2812 (9pp.)), Publisher: Springer
    Status:
    Published
    DOI:
    10.1140/epjc/s10052-014-2812-8 – link to the publication

  21. New spinorial particle model in tensorial space-time and interacting higher spin fields

    Authors:
    Sergey Fedoruk, Jerzy Lukierski
    Academic press:
    JHEP (year: 2013, volume: 2, pages: 128), Publisher: IOPscience
    Status:
    Published
    DOI:
    10.1007/JHEP02(2013)128 – link to the publication

  22. Twist deformation of doubly enlarged Newton-Hooke Hopf algebra

    Authors:
    M. Daszkiewicz
    Academic press:
    Mod.Phys.Lett. A (year: 2012, volume: 27, pages: 1250066), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217732312500666 – link to the publication

  23. Gauge Theory on Twisted k-Minkowski: Old Problems and Possible Solutions?

    Authors:
    Marija DIMITRIJEVIC, Larisa JONKE and Anna PACHOŁ
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (year: 2014, volume: 10, pages: 063 /22s), Publisher: NATL ACAD SCI UKRAINE, INST MATH
    Status:
    Published
    DOI:
    10.3842/SIGMA.2014.063 – link to the publication

  24. N-enlarged Galilei Hopf algebra and its twist deformations

    Authors:
    M. Daszkiewicz
    Academic press:
    Mod.Phys.Lett. A (year: 2012, volume: 27, pages: 1250083), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217732312500836 – link to the publication

  25. Different realizations of kappa-momentum space

    Authors:
    Stjepan Meljanac, Anna Pachol, Andjelo Samsarov, Kumar S. Gupta,
    Academic press:
    Phys.Rev.D (year: 2013, volume: 87, pages: 125009), Publisher: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.87.125009 – link to the publication

  26. Wheeler-DeWitt equation and AdS/CFT correspondence

    Authors:
    Francesco Cianfrani, Jerzy Kowalski-Glikman
    Academic press:
    Phys.Lett. B (year: 2013, volume: 725, pages: 463-467), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2013.07.034 – link to the publication

  27. Relative Locality in Curved Space-time

    Authors:
    Jerzy Kowalski-Glikman, Giacomo Rosati
    Academic press:
    Mod.Phys.Lett. A (year: 2013, volume: 28, pages: 1350101), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217732313501010 – link to the publication

  28. Reply to ''Comment on 'Relative locality and the soccer ball problem

    Authors:
    Giovanni Amelino-Camelia, Laurent Freide, Jerzy Kowalski-Glikman, Lee Smolin
    Academic press:
    Phys.Rev. D88 (2013) 028702 (year: 2013, volume: 88, pages: 2872), Publisher: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.88.028702 – link to the publication

  29. Quantum mechanics of many particles defined on twisted N-enlarged Newton-Hooke space-times

    Authors:
    Marcin Daszkiewicz
    Academic press:
    Acta Phys. Polon. B (year: 2013, volume: 44, pages: 699-711), Publisher: Jagiellonian University
    Status:
    Published
    DOI:
    10.5506/APhysPolB.44.699 – link to the publication

  30. Landau energy levels for twisted N-enlarged Newton-Hooke space-time

    Authors:
    Marcin Daszkiewicz
    Academic press:
    Acta Phys.Polon. B (year: 2013, volume: 44, pages: 59-68), Publisher: Jagiellonian University
    Status:
    Published
    DOI:
    10.5506/APhysPolB.44.59 – link to the publication

Articles in post-conference publications (7)

  1. Noncommutative Space-Time from Quantized Twistors

    Authors:
    J. Lukierski, M. Woronowicz
    Conference:
    Conforence in Honour of the 90th Birthday of Freeman Dyson (year: 2014, pages: 407 - 412), Publisher: World Scientific Publishing Co.
    Date:
    conference 26-29 August 2o13, Singapore
    Status:
    Published

  2. New class of quantum deformations of D=4 Euclidean supersymmetry

    Authors:
    A. Borowiec, J. Lukierski, M. Mozrzymas, V.N. Tolstoy
    Conference:
    XXIX International Cooloquium on Group-Theoretical Methods in Physics (year: 2013, pages: 443 - 454 (8pp.)), Publisher: World Scientific Publishing Co.
    Date:
    conference Tianjin, China, 20-26 August 2012
    Status:
    Published

  3. Curved Momentum Space and Relative Locality

    Authors:
    Jerzy Kowalski-Glikman
    Conference:
    29th Max Born Symposium: Super, Quantum & Twistors II, Wroclaw, Poland (year: 2012, pages: 1261008), Publisher: World Scientific
    Date:
    conference 28-30 June 2011.
    Status:
    Published
    DOI:
    link to the publication

  4. Short review on noncommutative spacetimes

    Authors:
    Anna Pachol
    Conference:
    6th International Workshop DICE2012 Spacetime – Matter – Quantum Mechanics: From the Planck Scale to Emergent Phenomena (year: 2013, pages: 12039), Publisher: IOPscience
    Date:
    conference 17–21 September 2012, Castiglioncello (Tuscany), Italy
    Status:
    Published
    DOI:
    link to the publication

  5. Generating of additional force terms in Newton equation by twist-deformed Hopf algebras and classical symmetries

    Authors:
    Marcin Daszkiewicz
    Conference:
    29th Max Born Symposium: Super, Quantum & Twistors II, Wroclaw, Poland (year: 2012, pages: 1261003), Publisher: World Scientific
    Date:
    conference 28-30 June 2011
    Status:
    Published
    DOI:
    link to the publication

  6. Bicrossproduct construction versus Weyl-Heisenberg algebra

    Authors:
    A. Borowiec, A. Pachoł
    Conference:
    7th International Conference on Quantum Theory and Symmetries (QTS7) (year: 2012, pages: 12090), Publisher: IOPscientific
    Date:
    conference 7-13.08.2011, Praga
    Status:
    Published
    DOI:
    link to the publication

  7. Maxwell group and HS field theory

    Authors:
    S Fedoruk, J Lukierski
    Conference:
    XXIst International Conference on Integrable Systems and Quantum Symmetries (ISQS21) (year: 2013, pages: 46039), Publisher: Journal of Physics: Conference Series 474 (1), 012016
    Date:
    conference 12-16.06.2013, Prague
    Status:
    Published

Book publications / chapters in book publications (1)

  1. Quantum gravity models - a brief conceptual summary

    Authors:
    Jerzy Lukierski
    Book:
    Mathematical Structure of the Universe (year: 2014, volume: brak, pages: 277-300), Publisher: Copernicus Center Press Sp. z o.o.
    Status:
    Published

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