Advances in Applied Clifford Algebras

Volume 4, No. 1
June 1994

TABLE OF CONTENTS of Journal

 LETTERS and COMMENTS

• Page 1-12: J. Keller, Quaternionic, Complex, Duplex and Real Clifford Algebras  tab1,  tab2, tab3
  

PAPERS

1. Page 13-26: P. Hillion, Beltrami-Moses Spinors in Electromagnetism
2. Page 27-34: G. Casanova, L'Inversion et L'Algebre de Clifford
3. Page 35-64: J. Van Hamme, General Powers of the Dirac Operator
4. Page 65-72: F. Sommen, N. Van Acker, Functions of two Vector Variables
5. Page 73-88: W. Bajguz, A.K.K. Kwasniewski, Clifford Algebras, Quantum Mechanics and Fibonacci-Like Sequences, eq(3.1)
   
6. Page 89-92: P. Reany, Complex Clifford Algebra and nth-Order Linear Differential Equations

ABSTRACTS of Recent Papers (pages 93-104)

1. N. van den Hijligenberg, Deformations of Nilpotent parts of the Neveu-Schwarz and Ramond Superalgebras (J. Math. Phys., 35 (3), 1427 (1994)).
2. L.C. Biedenharn, Berndt Mueller and marco Tarlini, The Dirac-Coulomb Problem for the k-Poincare Quantum Group (Physics Letters, B318 613-616 (1993)).
3. A.A. Ungar, The ABstract Complex Lorentz Transformation group with Real Metric. I. Special Relativity Formalism to Deal with the Holomorphic Automorphism Group of the Unit Ball in any Complex Hilbert Space.
4. W. Talebaoui, Algebraic Spinor Solution to the Kahler Equation
5. S.F. Gull, Charged Particles at Potential Steps
6. J.L. Gomex Pardo, C. Nastasescu, Graded Clifford Theory and Duality
7. H. Kruger, New Solutions of the Dirac Equation for Central Fields
8. F. Sommen, N. Van Acker, SO(m)-Invariant Differential Operators on Clifford Algebra-Valued Functions
9. R. Boudet, The Role of the Duality Rotation in the Dirac Theory. Comparison Between the Darwin and the Kruger solutions for the Central Potential Problem
10. C. Daviau, Linear and Nonlinear Dirac Equation
11. P.G. Vroegindeweij, The Equations of Dirac and the M_2(H)-Representation of Cl_1,2
12. A.O. Barut, N. Unal, On Poisson Brackets and Symplectic Structures for the Classical and Quantum Zitterbewegung
13. A.O. Barut, A.J. Bracken, Particle-Like Configurations of the Electromagnetic Field: and Extension of de Broglie's Ideas
14. G. Bergdolt, The Complete Reduction of Clifford Algebras
15. J. Mickelsson, On a Relation Between Maxwell and Dirac Theories
16. W.A. Rodrigues J., J. Vaz Jr., E. Recami, G. Salesi, About Zitterbewegung and Electron Structure
17. F.J. Chinea, A Clifford Algebra Approach to General Relativity
18. R. Coulangeon, Reseaux Quaternioniens et Invariant de Venkov
19. S. Rodriguez-Romo, An Analysis of Fierz Identities, Factorization and Inversion Theorems
20. S. Rodriguez-Romo, Algebraic Spinors and Directed Random Walks in the McKane-Parisi-Sourlas Theorem
21. G.V. Shishkin, V.M. Villalba, Electrically Neutral Dirac Particles in the Presence of External Fields: Exact Solutions
22. D. Hestenes, Zitterbewegung in Radiative Processes
23. R. Barbier, J. Meyer, M. Kibler, A U_qp(u_2) Model for Rotational Bands of Nuclei
24. W.A. Rodrigues, Q.A.G. de Souza, The Clifford Bundle and the Nature of the Gravitational Field
25. C. Carimalo, On the Spinor Structure of the Proton Wave Function

BOOK REVIEWS and Recommended Readings (pages 105-107)

• Clifford Algebras in Analysis and Related Topics, (Proceeding of Univ. of Arkansas Lecture Series, April 1993), by John Ryan, CRC Press, (October 1995), 384 pp., ISBN:0-8493-8481-8
• 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).

---

ERRATUM

Advan. in Appl. Cliff. Alg. Vol. 3 No. 2 (1993) pp 215.

(back to main page)