Entries Tagged as ‘publications’

November 2, 2009

Redington/Lohdi: Simple 5D wave equation f. Dirac particle

Simple five-dimensional wave-equation for a Dirac particle
by N. Redington (redingtn_at_MIT.EDU) and M. A. K. Lodhi
Although it’s a bit late, I would like to draw the community’s attention to a paper of mine of which no-one seems to be aware:

October 23, 2009

E. Hitzer: Clifford (Geometric) Algebra Wavelet Transform

Clifford (Geometric) Algebra Wavelet Transform
by Eckhard Hitzer
Department of Applied Physics, University of Fukui, 910-8507 Japan
Submitted (October 10, 2009) to:
Proceedings of GraVisMa 2009, 02-04 September 2009, Plzen, Czech Republic, edited by V. Skala and D. Hildenbrand.
Abstract
While the Clifford (geometric) algebra Fourier Transform (CFT) is global, we introduce here the local Clifford (geometric) algebra (GA) wavelet concept. [...]

October 23, 2009

E. Hitzer: Real Cliff. Alg. Cl(n,0), n = 2,3(mod 4) Wavelet Transf.

Real Clifford Algebra Cl(n,0), n = 2,3(mod 4) Wavelet Transform
by Eckhard Hitzer
(Department of Applied Physics, University of Fukui, 910-8507 Japan)
edited by T.E. Simos et al., AIP Proceedings of ICNAAM 2009, No. 1168, pp. 781-784 (2009).
Abstract
We show how for n = 2,3(mod 4) continuous Clifford (geometric) algebra (GA) Cl_n-valued admissible wavelets can be constructed using the [...]

October 23, 2009

P. Girard: Quaternion Grassmann-Hamilton-Clifford algebras

Quaternion Grassmann-Hamilton-Clifford algebras: new mathematical tools for classical and relativistic modeling
by Patrick R. Girard (University of Lyon; Creatis; Insa-Lyon; France)
in O. Doessel and W.C. Schlegel (Eds.): WC 2009, IFMBE Proceedings 25/IV,
pp. 65-68, 2009. www.springerlink.com
Abstract
The paper presents new mathematical tools for classical and relativistic modeling based on a quaternion formulation of Clifford algebras which we shall [...]

September 30, 2009

D. Lundholm: Geometric (Clifford) algebra and its applications

Geometric (Clifford) algebra and its applications
by Douglas Lundholm
(Submitted on 10 May 2006)
Abstract
In this Master of Science Thesis I introduce geometric algebra

September 30, 2009

Lundholm, Svensson: Clifford algebra, geometric algebra, applications

Clifford algebra, geometric algebra, and applications
by Douglas Lundholm, Lars Svensson
(Submitted on 30 Jul 2009)
Abstract:
These are lecture notes for a course on the theory of Clifford algebras,

September 26, 2009

C. Castro: N-ary Algebras, Branes, Polyvector Gauge Theor. in Noncomm. Clifford Spaces

On n-ary Algebras, Branes and Polyvector Gauge Theories in Noncommutative Clifford Spaces
by Carlos Castro
Center for Theoretical Studies of Physical Systems
Clark Atlanta University, Atlanta, GA. 30314; perelmanc@hotmail.com
Submitted to the Journal of Math Phys
September 2009

Abstract
Polyvector-valued gauge field theories in noncommutative Clifford spaces are presented.

September 9, 2009

C. Castro: Polyvector-valued Gauge Field Theories in Clifford Spaces

Polyvector-valued Gauge Field Theories and Quantum Mechanics in Noncommutative Clifford Spaces
by Carlos Castro
Center for Theoretical Studies of Physical Systems
Clark Atlanta University, Atlanta, GA. 30314; perelmanc_at_hotmail.com
submitted to the IJMPA
August 2009
Abstract
The basic ideas and results behind polyvector-valued gauge field theories and Quantum Mechanics in Noncommutative Clifford spaces are presented. The construction of Noncommutative Clifford-space gravity as polyvector-valued [...]

August 13, 2009

C. Castro: p-Branes and Diff. in p+1 Dim.

p-Branes as Antisymmetric Nonabelian Tensorial Gauge Field Theories of Diffeomorphisms in p + 1 dimensions

by Carlos Castro
Department of Physics
Texas Southern University, Houston, Texas. 77004
submitted to the Journal of Mathematical Physics,
August, 2009

Abstract
Long ago, Bergshoeff, Sezgin, Tanni and Townsend have shown

July 28, 2009

Gresnigt: Relativistic Physics in Cl(1,3)

Title:
Relativistic Physics in the Clifford Algebra Cℓ(1, 3)

Authors:
Gresnigt, Niels Gijsbertus

Issue Date:
2009

Abstract:
There is growing evidence that the Clifford algebra Cℓ(1, 3) is the appropriate mathematical structure to formulate physical theories. The geometries of 3-space and spacetime are naturally reflected in the algebras Cℓ(0, 3) and Cℓ(1, 3) respectively.