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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: https://hdl.handle.net/21.11116/0000-0002-DC61-9 Version Permalink: https://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: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1812.08616
URI: http://arxiv.org/abs/1812.08616
DOI: 10.1103/PhysRevD.99.106005
 Degree: -

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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