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  Noncommutative Fourier transform for the Lorentz group via the Duflo map

Oriti, D., & Rosati, G. (2019). Noncommutative Fourier transform for the Lorentz group via the Duflo map. Physical Review D, 99(10): 106005. doi:10.1103/PhysRevD.99.106005.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-DC61-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-BFEA-F
Genre: Journal Article

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 Creators:
Oriti, Daniele1, Author              
Rosati, Giacomo, Author
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: We defined a non-commutative algebra representation for quantum systems whose phase space is the cotangent bundle of the Lorentz group, and the non-commutative Fourier transform ensuring the unitary equivalence with the standard group representation. Our construction is from first principles in the sense that all structures are derived from the choice of quantization map for the classical system, the Duflo quantization map.

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 Dates: 2018-12-2020192019
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: arXiv: 1812.08616
URI: http://arxiv.org/abs/1812.08616
DOI: 10.1103/PhysRevD.99.106005
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 99 (10) Sequence Number: 106005 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258