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Um passeio por várias álgebras na descrição do momento angular
Revista Brasileira de Ensino de FísicaResumo A forma mais comum de definir matematicamente o momento angular é através da operação de produto vetorial como definido por Josiah Willard Gibbs e ao mesmo tempo por Oliver Heaviside.
Emerson Dionísio Belançon +1 more
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, 2012 This Saylor course is an extension of abstract algebra I and revisits structures like groups, rings and fields as well as mappings like homomorphisms and isomorphisms.
algebra, The Saylor Foundation
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Monogenic Functions in Conformal Geometry
Symmetry, Integrability and Geometry: Methods and Applications, 2007 Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, usually referred to as the ...
Michael Eastwood, John Ryan
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Remarks on Q-oscillators representation of Hopf-type boson algebras
Le Matematiche, 1998 We present a method of constructing known deformed or undeformed oscillators as quotients of certain models of Hopf-type oscillator algebras, using similar techniques to those of determining fix point sets of the adjoint action of a Hopf algebra ...
Anna Maria Paolucci, Ioannis Tsohantjis
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Szegő projections for hardy spaces of monogenic functions and applications
International Journal of Mathematics and Mathematical Sciences, 2002 We introduce Szegő projections for Hardy spaces of monogenic functions defined on a bounded domain Ω in ℝn. We use such projections to obtain explicit orthogonal decompositions for L2(bΩ).
Swanhild Bernstein, Loredana Lanzani
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Representation of Integral Formulas for the Extended Quaternions on Clifford Analysis
MathematicsThis work addresses a significant gap in the existing literature by developing integral representation formulas for extended quaternion-valued functions within the framework of Clifford analysis. While classical Cauchy-type and Borel–Pompeiu formulas are
Ji Eun Kim
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Clifford Algebra as Quantum Language
, 2001 We suggest Clifford algebra as a useful simplifying language for present quantum dynamics. Clifford algebras arise from representations of the permutation groups as they arise from representations of the rotation groups.
David Ritz Finkelstein +3 more
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The Geometric Algebra Java Package: Novel Structure Implementation of 5D Geometric Algebra R_<4, 1> for Object Oriented Euclidean Geometry, Space-Time Physics and Object Oriented Computer Algebra [PDF]
, 2005 This paper first briefly reviews the algebraic background of the conformal (homogeneous) model of Euclidean space in Clifford geometric algebra R_ = Cl(4,1), concentrating on the subalgebra structure.
HITZER, Eckhard MS, UTAMA, Ginanjar
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Some statistical aspects of the spinor field Fermi-Bose duality
Condensed Matter Physics, 2012 The structure of 29-dimensional extended real Clifford-Dirac algebra, which has been introduced in our paper Phys. Lett. A, 2011, Vol. 375, 2479, is considered in brief.
V.M. Simulik, I.Yu. Krivsky, I.L. Lamer
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