Results 81 to 90 of about 19,016 (193)

Clifford Algebras and Liquid Crystalline Fermions

Physical Review X
We show that Clifford algebras provide a natural language to describe the physics of liquid crystal defects in 3D. This framework shows that most of these defects have fermionic nature, as the director field profile on a 2D cross section can ...
N. Johnson, L. C. Head, O. D. Lavrentovich, A. N. Morozov, G. Negro, E. Orlandini, C. A. Smith, G. M. Vasil, D. Marenduzzo   +8 more
doaj   +1 more source

A Symbolic Algorithm for Computation of Non-degenerate Clifford Algebra Matrix Representations

, 2019
Clifford algebras are an active area of mathematical research. The main objective of the paper is to exhibit a construction of a matrix algebra isomorphic to a Clifford algebra of signature (p,q), which can be automatically implemented using general ...
Prodanov, Dimiter
core  

$\mathbb{A}$-Differentiability over Associative Algebras

Mathematics
The unital associative algebra structure A on Rn allows for defining elementary functions and functions defined by convergent power series. For these, the usual derivative has a simple form even for higher-order derivatives, which allows us to have the A-
Julio Cesar Avila, Martín Eduardo Frías-Armenta, Elifalet López-González   +2 more
doaj   +1 more source

Representation of nuclear magnetic moments via a Clifford algebra formulation of Bohm's hidden variables. [PDF]

Sci Rep, 2022
Santilli RM, Sobczyk G.
europepmc   +1 more source

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  

One-dimensional Quaternion Fourier Transform and Some Applications

Bulletin of Computational Applied Mathematics, 2021
The Fourier transform is a very useful tool in many areas. This transform has been defined in many contexts, as complex numbers, quaternions, and Clifford algebras.
Eusebio Ariza García, Claudia Jiménez Heredia, Carlos Chipantiza   +2 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