The Mathematics of the Spinning Particle Problem
Abstract
Description
We introduce an original approach to geometric calculus in which we define derivatives and integrals on functions which depend on extended bodies in space--that is, paths, surfaces, and volumes etc. Though this theory remains to be fully completed, we present it at its current stage of development, and discuss it's connection to physical research, in particular its application to spinning particles in curved space.
18 pages, LaTeX, no figures. Submitted to Proceedings of the 5th International Conference on Clifford Algebras and their Applications in Mathematical Physics, Ixtapa-Zihuatanejo, Mexico, June 27-July 4, 1999, (R. Ablamowicz and B. Fauser eds.). Presentation slides available at http://www.clifford.org/~terler/talks/
18 pages, LaTeX, no figures. Submitted to Proceedings of the 5th International Conference on Clifford Algebras and their Applications in Mathematical Physics, Ixtapa-Zihuatanejo, Mexico, June 27-July 4, 1999, (R. Ablamowicz and B. Fauser eds.). Presentation slides available at http://www.clifford.org/~terler/talks/