Advances in Applied Clifford Algebras

Volume 4, No. 2
December 1994

TABLE OF CONTENTS of Journal

PAPERS

1. Page 109-122: P. Reany, Unipodal Algebra Reopens the Theory of Algebraic Equations
2. Page 123-130: N. Fleury and M. Rausch de Traubenberg, Finite Dimensional Representations of Clifford Algebras of Polynomials
3. Page 131-144: M. Rausch de Traubenberg, Clifford Algebras of Polynomials Generalized Grassmann Algebras and q-Deformed Heisenberg Algebras
4. Page 145-156: M. Durdevic, Braided Clifford Algebras as Braided Quantum Groups
5. Page 157-164: G. Casanova, L'Algebre de Clifford et la Dialectique de Hegel

ABSTRACTS of Recent Papers (page 165-179)

1. Yu. N. Obukhov and S.N. Solodukhin, Dirac Equation and the Ivanenko-Landau-Kahler Equation
2. H.W. Crater and P. Van Alstine, Structure of Quantum-Mechanical Relativistic Two-Body Interactions for Spinning Particles
3. Eduard Prugovecki, On Foundational and Geometric Critical Aspects of Quantum Electrodynamics
4. Tarun Biswas, Special Relativistic Newtonian Gravity
5. R. Shaw, Finite Geometry, Dirac Groups and the Table of Real Clifford Algebras
6. Naohisa Ogawa, Dirac Sea and Chiral Anomaly
7. John R. Fanchi, Evaluating the Validity of Parametrized Relativistic Wave Equations
8. Pierre Minnaert and Marek Mozrzymas, On the Superalgebras Built from SO(3) Tensor Operators
9. Michael G. Fuda, A New Picture for Light Front Dynamics, II
10. Sorin Lugojan, Quaternionc Derivability
11. Susumu Okubo, Representations of Clifford Algebras and its Applications
12. J.P. Crawford, Clifford Algebra: Notes on the Spinor Metric and Lorentz, Poincare and Conformal Groups
13. Stephen Parrott, Unphysical and Physical(?) Solutions of the Lorentz-Dirac Equation
14. Robin L. Hudson and Sylvia Pulmannova, Sum Logics and Tensor Products
15. A.O. Barut and M. Pavsic, Dirac's Shell Model of the Electron and the General Theory of Moving Relativistic Charged Membranes
16. Ulrich Bleyer, Energy Levels of the Hydrogen Atom due to a Generalized Dirac Equation
17. E. Comay, Remarks on the Physical Meaning of the Lorentz-Dirac Equation
18. G.F. Torres del Castillo, Spinors in Three Dimensions. III
19. T.A. Ivanova, Octonions, Self-Duality and Strings
20. Franco Piazzese, On the Relationships Between the Dirac Spinors and Clifford Subalgebra Cl+_1,3
21. D. Waxman, The Fredholm Determinant for a Dirac Operator
22. J.D. Edmonds Jr., Connections Between the two Dirac Equations
23. A. Maia Jr., E. Recami, W.A. Rodrigues, Jr. and M.A. F. Rosa, Magnetic Monopoles Without Strings by Kahler-Clifford Algebra: Geometrical Interpretation of a Satisfactory Formalism
24. K.K. Wan and J.J. Powis, Quatnum Mechanics in Dirac's Front Form
25. W.S. Leng, What are the Conditions for a Unique Mathematical Model for Physics?-and some Physical Predictions that Result
26. G.F. Torres del Castillo, R. Cartas Fuentevilla, Solution of Nonscalar Equations in Cylindrical Coordinates. II
27. Huang Liping, Jordan Canonical Form of a Matrix over the Quaternion Field
28. A.O. Barut, H.G. Cruz, Classical Relativistic Spinning Particle with Anomalous Magnetic Moment-the Precession of Spin
29. Matej Pavsic, Erasmo Recami, Waldyr A. Rodrigues Jr., Spin and Electron Structure
30. A.V. Shchelkachev, Relativistically Invariant Representation of Arbitrary Bilinear Combinations of Dirac Spinors
31. P. Piccinni, On the Infinitesimal Automorphism of Quaternionic Structures
32. R. Mignani, E. Recami, Complex Electromagnetic Four-Potential and the Cabibbo-Ferrari Relation for Magnetic Monopoles

BOOK REVIEWS and Recommended Readings

• Division Algebras: Octonions Quaternions Complex Numbers and the Algebraic Design of Physics by Geoffrey M. Dixon, Dept. of Physics, Brandeis University, Waltham, MA, USA, Kluwer Academic Publishers, Dordrecht (July 1994); 248 pp. Hardbound ISBN: 0-7923-2890-6
• Arbitration Thesis, University of Gent (1994) Hurwitz Pairs and Applications of Mobius Transformations, Jan Cnops, Arbitration THesis, University of Gent (1994).
• Differential Geometric Methods in Theoretical Physics (XII Conference, Ixtapa-Zihuatanejo, Mexico Sept. 1993), ed. by Jaime Keller and Zbigniew Oziewics, Adv. Appl. Cliff. Alg. Proc. Suppl. 4 (S1) (1994).