2 papers
quant-ph2001
Dynamic and Geometric Phase Formulasin the Hestenes-Dirac Theory
David W. Dreisigmeyer, Richard Clawson, R. Eykholt +1
We examine the dynamic and geometric phases of the electron in quantum mechanics using Hestenes' spacetime algebra formalism. First the standard dynamic phase formula is translated…
math-ph2001
Feynman's Path Integrals as Evolutionary Semigroups
David W. Dreisigmeyer, Peter M. Young
We show that, for a class of systems described by a Lagrangian L(x,\dot{x},t) = 1/2\dot{x}^{2} - V(x,t) the propagator can be reduced via Noether's Theorem to a standard path integ…