Advances in Applied Clifford Algebras

Proc. Suppl. 7, (S1), 1997

Proceedings of the International Conference on
The Theory of the Electron

Contents:

1. Chapter 1:
2. Chapter 2: Electron
3. Chapter 3: Spin
4. Chapter 4: Standart Model and Massless Particles
5. Chapter 5: Bundles & Clifford Algebras

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Organizer and Editors:

Zbigniew Oziewicz, Email: oziewicz@proton.ift.uni.wroc.pl
University of Wroclaw, Poland

International Advisory Board:

Chapter 1:

• Page 3, Jaime Keller, On the Electron Theory
• Page 26, Monty Chisholm,  William Kingdon Clifford (1845-1879) and His wife Lucy (1846-1929)
• Page 41,  Reconocimiento a Antonio Weingartshofer
• Page 45, Antonio Weingartshofer, 25 years of studying laser - electron interactions A survey of multiphoton processes

Chapter 2: Electron

• Page 63, Marcos Moshinsky, Baru's procedure for the relativistic many body problems versus other approaches
• Page 71, Angelo Della Selva, Javier Magnin and Luigi Masperi, Bargmann - Michel - Telegdi equation and one-particle relativistic approach
• Page 79, Rocio Jáuregui, Carlos Bunge and Eugenio Ley-Koo, Electrons in atoms: how well can we describe
• Page 97, David Hestenes, Real Dirac theory
• Page 145, Heinz  Krüger, The electron as selfinteracting lightlike pointcharge.  Classification of lightlike curves in spacetime under the group of SO_1,3 motions
• Page 163, Gaston Casanova, The electron´s double nature
• Page 167, Alfonso Campolattaro, Classical electrodynamics and rlativistic quantum mechanics
• Page 175, Claude Daviau, Solutions of the Dirac equation and of a nonlinear Dirac equation for the hydrogen atom

Chapter 3: Spin

• Page 197, William E. Baylis, Eigenspinors and electron spin
• Page 215, Yuri Rylov, Statistical ensemble technique in application to description of the electron
• Page 229, Tom Waite, Is there a classical description of the Dirac electron?
• Page 245, James B. Westgard, The velocity gauge in quantization
• Page 253, Erasmo Recami and Giovanni Salesi, Kinematics and hydrodynamics of spinning particles
• Page 269, Giovanni Salesi and Erasmo Recami, The velocity operator for spinning particles in quantum mechanics
• Page 279, Robert Yamaleev, Fractional power of momenta and paragrassmann extension of Pauli equation

Chapter 4: Standard Model and Beyond

• Page 291, Ricardo Gaitán and Hernando González, New fermions and extra gauge bosons in extended models
• Page 303, Valeri V. Dvoeglazov, Majorana - like models in the physics of neutral particles
• Page 321, Roger Boudet, The Glashow - Salam - Weinberg electroweak theory in the real algebra of spacetime
• Page 337, Rolf Dahm, Relativistic SU₄ and quaternions
• Page 357, Asim O. Barut and José Ricardo Zeni, Neutrinos and electromagnetic fields
• Page 369, Jayme Vaz, Jr. and Waldyr Alves Rodrigues, Jr., Maxwell and Dirac theories as an already unfied theory

Chapter 5: Bundles & Clifford Algebras

• Page 389, Matías Moreno and Rosa María Méndez - Moreno, Kaluza & Klein theories with Dirac supersymmetry and Dirac equation
• Page 399, Bertfied Fauser and Herald Stumpf, Positronium as an example of algebraic composite calculations.  How to build an algebraic approach to composites
• Page 419, Magdalena Gusiew-Czudzak and Jaime Keller, The twistor bundle: the Casimir operators of the Poincaré Lie algebra and the Dirac operator
• Page 439, Jaime Keller, Spinors, Twistors, Screws, Mexors and the Massive Spinning Electron
• Page 457, Waldyr Alves Rodrigues, Jr., and Jayme Vaz, Jr.,  Subluminal and superluminal solutions in vacuum of the Maxwell equations and the massless Dirac equation
• Page 467, Zbigniew Oziewicz, Clifford Algebras of multivectors.  The minimum polynomials of the tensor product of the Dirac matrices and the opposite Clifford algebra
• Page 487, Marcelo A. Aguilar and Miguel Socolovsky, Reductions and extensions in bundles and homotopy

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