Pregled bibliografske jedinice broj: 1172749
Exponential Formulas, Normal Ordering and the Weyl- Heisenberg Algebra
Exponential Formulas, Normal Ordering and the Weyl- Heisenberg Algebra // Symmetry Integrability and Geometry-Methods and Applications, 17 (2021), 084, 7 doi:10.3842/SIGMA.2021.084 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1172749 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Exponential Formulas, Normal Ordering and the Weyl-
Heisenberg Algebra
Autori
Meljanac, Stjepan ; Štrajn, Rina
Izvornik
Symmetry Integrability and Geometry-Methods and Applications (1815-0659) 17
(2021);
084, 7
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
exponential operators ; normal ordering ; Weyl-Heisenberg algebra ; noncommutative geometry
Sažetak
We consider a class of exponentials in the Weyl- Heisenberg algebra with exponents of type at most linear in coordinates and arbitrary functions of momenta. They are expressed in terms of normal ordering where coordinates stand to the left from momenta. Exponents appearing in normal ordered form satisfy differential equations with boundary conditions that could be solved perturbatively order by order. Two propositions are presented for the Weyl-Heisenberg algebra in 2 dimensions and their generalizations in higher dimensions. These results can be applied to arbitrary noncommutative spaces for construction of star products, coproducts of momenta and twist operators. They can also be related to the BCH formula.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Fizika
POVEZANOST RADA
Ustanove:
Institut "Ruđer Bošković", Zagreb,
Sveučilište u Dubrovniku
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
