67 citations · 117 across the 5 of their papers we have counts for
5 papers
Nonconservative Lagrangian mechanics II: purely causal equations of motion
David W. Dreisigmeyer, Peter M. Young
This work builds on the Volterra series formalism presented in [D. W. Dreisigmeyer and P. M. Young, J. Phys. A \textbf{36}, 8297, (2003)] to model nonconservative systems. Here we…
Extending Bauer's corollary to fractional derivatives
David W. Dreisigmeyer, Peter M. Young
We comment on the method of Dreisigmeyer and Young [D. W. Dreisigmeyer and P. M. Young, J. Phys. A \textbf{36}, 8297, (2003)] to model nonconservative systems with fractional deriv…
Nonconservative Lagrangian Mechanics: A generalized function approach
David W. Dreisigmeyer, Peter M. Young
We reexamine the problem of having nonconservative equations of motion arise from the use of a variational principle. In particular, a formalism is developed that allows the inclus…
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…
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…