نتایج جستجو برای: fischer clifford matrices

تعداد نتایج: 86430  

2005
Carlos Castro

Starting with a review of the Extended Relativity Theory in Clifford-Spaces, and the physical motivation behind this novel theory, we provide the generalization of the nonrelativistic Supersymmetric pointparticle action in Clifford-space backgrounds. The relativistic Supersymmetric Clifford particle action is constructed that is invariant under generalized supersymmetric transformations of the ...

Journal: :Physical review 2023

Dynamical characterization of topological phases under quantum quench dynamics has been demonstrated as a powerful and efficient tool. Previous studies have focused on systems which the Hamiltonian consists matrices that commute with each other satisfy Clifford algebra. In this work, we consider Hamiltonians are beyond minimal model. Specifically, two types layered is studied, consisting do not...

Journal: :IJWMIP 2007
Mawardi Bahri Eckhard S. M. Hitzer

In this paper, it is shown how continuous Clifford Cl3,0-valued admissible wavelets can be constructed using the similitude group SIM(3), a subgroup of the affine group of R3. We express the admissibility condition in terms of a Cl3,0 Clifford Fourier transform and then derive a set of important properties such as dilation, translation and rotation covariance, a reproducing kernel, and show how...

Journal: :Logical Methods in Computer Science 2013
Peter Selinger

We define a normal form for Clifford circuits, and we prove that every Clifford operator has a unique normal form. Moreover, we present a rewrite system by which any Clifford circuit can be reduced to normal form. This yields a presentation of Clifford operators in terms of generators and relations.

Journal: :Int. J. Math. Mathematical Sciences 2004
Fred Brackx Nele De Schepper Frank Sommen

A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions. Now the class of weight functions involved is enlarged to encompass Clifford algebra-valued functions. The method consists in transforming the orthogonality relation on the open unit ball into ...

Journal: :Advances in Applied Clifford Algebras 2021

The paper gives a new representation of conformal groups in n dimensions terms hyperquaternions defined as tensor products quaternion algebras (or subalgebra thereof). Being Clifford algebras, provide good pseudo-orthogonal such $$O(p+1,q+1)$$ isomorphic to the nD group with $$n=p+q.$$ yields simple expressions generators, independently matrices or operators. canonical decomposition and invaria...

2008
H. De Bie F. Sommen

The Clifford-Hermite and the Clifford-Gegenbauer polynomials of standard Clifford analysis are generalized to the new framework of Clifford analysis in superspace in a merely symbolic way. This means that one does not a priori need an integration theory in superspace. Furthermore a lot of basic properties, such as orthogonality relations, differential equations and recursion formulae are proven...

Journal: :journal of insect biodiversity and systematics 0
elena cortés fernando el católico, 7, 1a, cp-03804, alcoy, alicante, spain ali ameri department of entomology, faculty of agriculture, tarbiat modares university, p. o. box: 14115–336, tehran, iran ali asghar talebi department of entomology, faculty of agriculture, tarbiat modares university, p. o. box: 14115–336, tehran, iran ehsan rakhshani department of plant protection, college of agriculture, university of zabol, i.r. iran francisco javier peris felipo bleichestrasse 15, ch-4058 basel, switzerland

the subfamily alysiinae (hymenoptera, braconidae) is one of the most peculiar and diverse endoparasitoids of the family braconidae. a sampling survey was done in different parts of iran, mainly in south, central and south eastern provinces. fifteen species are recorded for the first time from iran. they were belonging to tribe alysiini (dinotrema amparoae peris-felipo, 2013; d. borzhomii tobias...

Journal: :International Journal of Geometric Methods in Modern Physics 2021

We present a compact Baker–Campbell–Hausdorff–Dynkin formula for the composition of Lorentz transformations [Formula: see text] in spin representation (a.k.a. rotors) terms their generators text]: This is general to geometric algebras real Clifford algebras) dimension text], naturally generalizing Rodrigues’ rotations text]. In particular, it applies rotors within framework Hestenes’ spacetime ...

2009
Carlos Castro

The basic ideas and results behind polyvector-valued gauge field theories and Quantum Mechanics in Noncommutative Clifford spaces are presented. The star products are noncommutative but associative up to second order only. The construction of Noncommutative Clifford-space gravity as polyvector-valued gauge theories of twisted diffeomorphisms in Clifford-spaces would require quantum Hopf algebra...

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