منابع مشابه
Clifford Algebra with Mathematica
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. In this work, we present an introduction to the main ideas of Clifford algebra, with the main goal to develop a package for Clifford algebra calculations for the computer algebra program Mathematica∗. The Cliffor...
متن کاملClifford algebra as quantum language
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. Aggregates using such representations for their permutations obey Clifford statistics. The vectors supporting the Clifford algebras of permutations and rotations are plexors an...
متن کاملClifford Type Algebra Characteristics Investigation
There are many applications of hypercomplex number systems in the methods of processing and presenting information. The quaternion system has particular importance, applications which can solve many practical problems: the navigation and management of mobile objects, in mechanics, electrodynamics, cryptography, digital signal processing, and others. Numerous applications of quaternions is cause...
متن کاملClifford Algebra, Geometry and Physics
The geometric calculus based on Clifford algebra is a very useful tool for geometry and physics. It describes a geometric structure which is much richer than the ordinary geometry of spacetime. A Clifford manifold (C-space) consists not only of points, but also of 1-loops, 2-loops, etc.. They are associated with multivectors which are the wedge product of the basis vectors, the generators of Cl...
متن کاملProjective Geometry with Clifford Algebra*
Projective geometry is formulated in the language of geometric algebra, a unified mathematical language based on Clifford algebra. This closes the gap between algebraic and synthetic approaches to projective geometry and facilitates connections with the rest of mathematics.
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ژورنال
عنوان ژورنال: Advances in Applied Clifford Algebras
سال: 2001
ISSN: 0188-7009,1661-4909
DOI: 10.1007/bf03219147