57 citations · 477 across the 76 of their papers we have counts for
5 papers · 1 filter
Canonical Transformation of Potential Model Hamiltonian Mechanics to Geometrical Form I
Y. Strauss, L. P. Horwitz, A. Yahalom +1
Using the methods of symplectic geometry, we establish the existence of a canonical transformation from potential model Hamiltonians of standard form in a Euclidean space to an equ…
A Statistical Mechanical Model for Mass Stability in the SHP Theory
Lawrence Horwitz
We construct a model for a particle in the framework of the theory of Stueckelberg, Horwitz and Piron (SHP) as an ensemble of events subject to the laws of covariant classical equi…
On the geometry of Hamiltonian chaos
Lawrence Horwitz, Jacob Levitan, Meir Lewkowicz +2
We show that Gutzwiller's characterization of chaotic Hamiltonian systems in terms of the curvature associated with a Riemannian metric tensor in the structure of the Hamiltonian c…
Could the classical relativistic electron be a strange attractor?
L. P. Horwitz, N. Katz, O. Oron
We review the formulation of the problem of the electromagnetic self-interaction of a relativistic charged particle in the framework of the manifestly covariant classical mechanics…
Relativistic Brownian Motion
O. Oron, L. P. Horwitz
We solve the problem of formulating Brownian motion in a relativistically covariant framework in 1+1 and 3+1 dimensions. We obtain covariant Fokker-Planck equations with (for the i…