Noncommutative Fourier transform for the Lorentz group via the Duflo map

Oriti, Daniele und Rosati, Giacomo (2019): Noncommutative Fourier transform for the Lorentz group via the Duflo map. In: Physical Review D, Bd. 99, Nr. 10, 106005

Abstract

We defined a noncommutative algebra representation for quantum systems whose phase space is the cotangent bundle of the Lorentz group, and the noncommutative 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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 2470-0010
• Sprache: Englisch