Contractions of the LCT Lie algebra for signature (1,4) yield the de Sitter algebra so(1,4) and the Poincaré algebra iso(1,3) in the respective limits of minimum length ℓ and maximum length L.
Dispersion Operators Algebra and Linear Canonical Transformations
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
This work intends to present a study on relations between a Lie algebra called dispersion operators algebra, linear canonical transformation and a phase space representation of quantum mechanics that we have introduced and studied in previous works. The paper begins with a brief recall of our previous works followed by the description of the dispersion operators algebra which is performed in the framework of the phase space representation. Then, linear canonical transformations are introduced and linked with this algebra. A multidimensional generalization of the obtained results is given
fields
physics.class-ph 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Contractions of the relativistic quantum LCT group and the emergence of spacetime symmetries
Contractions of the LCT Lie algebra for signature (1,4) yield the de Sitter algebra so(1,4) and the Poincaré algebra iso(1,3) in the respective limits of minimum length ℓ and maximum length L.