Results 11 to 20 of about 341,392 (155)

Algebra de Clifford [PDF]

Momento, 1990
El algebra de Clifford (o algebra geometrical como lenguaje unificado para matemáticos y físicos ha adquirido auge en los últimos años y David Hestenes ha sido uno de sus grandes impulsores con trabajos de datan desde los años 60.
María Carolina Spinel G.
doaj   +2 more sources

Algebra de Clifford del espacio tiempo [PDF]

Momento, 1990
En un artículo previo, presentamos la estructura y relaciones básicas del algebra de Clifford Gn generada por el producto geométrico de los vectores de un espacio vectorial Vn sobre el cuerpo de los reales en la versión moderna de Hestenes. Este artículo
Ma. Carolina Spinel G.
doaj   +1 more source

Clifford algebra with mathematica [PDF]

, 2015
The Clifford algebra of a n-dimensional Euclidean vector space provides a general language comprising vectors, complex numbers, quaternions, Grassman algebra, Pauli and Dirac matrices.
Andrade, M.A., Aragon-Camarasa, G., Aragon-Gonzalez, G., Aragon, J.L.   +3 more
core   +8 more sources

Square root of a multivector in 3D Clifford algebras

Nonlinear Analysis, 2020
The problem of square root of multivector (MV) in real 3D (n = 3) Clifford algebras Cl3;0, Cl2;1, Cl1;2 and Cl0;3 is considered. It is shown that the square root of general 3D MV can be extracted in radicals.
Adolfas Dargys, Artūras Acus
doaj   +1 more source

Spectrum and Analytic Functional Calculus for Clifford Operators via Stem Functions

Concrete Operators, 2021
The main purpose of this work is the construction of an analytic functional calculus for Clifford operators, which are operators acting on certain modules over Clifford algebras.
Vasilescu Florian-Horia
doaj   +1 more source

Computation of Minimal Polynomials and Multivector Inverses in Non-Degenerate Clifford Algebras

Mathematics
Clifford algebras are an active area of mathematical research having numerous applications in mathematical physics and computer graphics, among many others.
Dimiter Prodanov
doaj   +1 more source

Leveraging prior known vector Green functions in solving perturbed Dirac equation in Clifford algebra [PDF]

, 2020
Published online August 14, 2020Solving boundary value problems with boundary element methods requires specific Green functions suited to the boundary conditions of the problem.
Seagar, Andrew, Shahpari, Morteza, Seagar, A., Shahpari, M.   +3 more
core   +1 more source

Seminormal systems of operators in Clifford environments [PDF]

Opuscula Mathematica, 2017
The primary goal of our article is to implement some standard spin geometry techniques related to the study of Dirac and Laplace operators on Dirac vector bundles into the multidimensional theory of Hilbert space operators.
Mircea Martin
doaj   +1 more source

Clifford algebra-parametrized octonions and generalizations

, 2015
Introducing products between multivectors of Cl-0,Cl-7 (the Clifford algebra over the metric vector space R-0,R-7) and octonions, resulting in an octonion, and leading to the non-associative standard octonionic product in a particular case, we generalize
da Rocha, R, Vaz, J
core   +1 more source

Global surpluses of spin-base invariant fermions

Physics Letters B, 2015
The spin-base invariant formalism of Dirac fermions in curved space maintains the essential symmetries of general covariance as well as similarity transformations of the Clifford algebra.
Holger Gies, Stefan Lippoldt
doaj   +1 more source