RT journal article
T1 Sharing symmetries in non-linear systems: Generalized Heisenberg–Weyl algebra on the de Sitter space-time out of the sphere S3
A1 Aldaya, V.
A1 Guerrero, J.
A1 López Ruiz, Francisco Felipe
A2 Física Aplicada
K1 Symmetry
K1 non-linear systems
K1 non-point symmetries
K1 Cartan formalism
K1 Hamilton–Jacobi
K1 inverse Noether theorem
K1 S3 sigma model
K1 generalized position and momentum in de Sitter space-time
AB In this paper, we exploit the formal equivalence of the Solution Manifold of two distinct physical systems to create enough symmetries so as to characterize them by Noether Invariants, thus favoring their future quantization. In so doing, we somehow generalize the Arnold Transformation for non-necessarily linear systems. Very particularly, this algorithm applies to the case of the motion on the de Sitter space-time providing a finite-dimensional algebra generalizing the Heisenberg-Weyl algebra globally. In this case, the basic (contact) symmetry is imported from the motion of a (non-relativistic) particle on the sphere S3. © 2021 World Scientific Publishing Company.
PB WORLD SCIENTIFIC PUBL CO PTE LTD
SN 0219-8878
YR 2021
FD 2021-02-24
LK http://hdl.handle.net/10498/30443
UL http://hdl.handle.net/10498/30443
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 12-nov-2026