Results 61 to 70 of about 266 (166)

The mathematical physical meaning of the Rarita Schwinger equation factored by a weighted Dirac operator, Part I

Bulletin of Computational Applied Mathematics, 2021
In this article we give a tour through Physics to explain the meaning of the Rarita Schwinger equation and determine its relationship with the Clifford algebras. We also relate the proposed first operators of Rarita Schwinger with the recent operators of
Benjamín de Zayas, Carmen Judith Vanegas   +1 more
doaj  

Structural Properties of The Clifford–Weyl Algebra ${𝒜}_q^{\pm }$

Mathematics
The Clifford–Weyl algebra 𝒜q±, as a class of solvable polynomial algebras, combines the anti-commutation relations of Clifford algebras 𝒜q+ with the differential operator structure of Weyl algebras 𝒜q−. It exhibits rich algebraic and geometric properties.
Jia Zhang, Gulshadam Yunus
doaj   +1 more source

Response to 'Comment on "Quantum correlations are weaved by the spinors of the Euclidean primitives"'. [PDF]

R Soc Open Sci, 2022
Christian J.
europepmc   +1 more source

On Multimatrix Models Motivated by Random Noncommutative Geometry II: A Yang-Mills-Higgs Matrix Model. [PDF]

Ann Henri Poincare, 2022
Perez-Sanchez CI.
europepmc   +1 more source

A Study of LFT Embeddings in the Second Order Clifford Algebra Cl(R²,º)

IEEE Access
Knowledge graph embedding models represent entities as vectors in continuous spaces and their relations by geometric transformations, mainly translation, and rotation.
Kossi Amouzouvi, Sahar Vahdati, Bowen Song, Bernard O. Bainson, Nur A. Zarin Nishat, Jens Lehmann   +5 more
doaj   +1 more source

An exceptional G(2) extension of the Standard Model from the correspondence with Cayley-Dickson algebras automorphism groups. [PDF]

Sci Rep, 2021
Masi N.
europepmc   +1 more source

A unified approach to spinor duals via Clifford algebras and $G_\Omega$ groups

Trends in Computational and Applied Mathematics
Recent developments in the construction of generalized Dirac duals have revealed, within the structure of the Clifford algebra $\mathbb{C}\otimes\mathcal{C}\ell_{1,3},$ the existence of distinct algebraic formulations of spinors duals with potential ...
R. T. Cavalcanti, J.M. Hoff da Silva
doaj   +1 more source

Clifford Algebras Meet Tree Decompositions. [PDF]

Algorithmica, 2019
Włodarczyk M.
europepmc   +1 more source

The Study Variety of Conformal Kinematics. [PDF]

Adv Appl Clifford Algebr, 2022
Kalkan B, Li Z, Schröcker HP, Siegele J.   +3 more
europepmc   +1 more source

Algebraic classification of Hietarinta’s solutions of Yang-Baxter equations: invertible 4 × 4 operators

Journal of High Energy Physics
In order to examine the simulation of integrable quantum systems using quantum computers, it is crucial to first classify Yang-Baxter operators. Hietarinta was among the first to classify constant Yang-Baxter solutions for a two-dimensional local Hilbert
Somnath Maity, Vivek Kumar Singh, Pramod Padmanabhan, Vladimir Korepin   +3 more
doaj   +1 more source