29 citations · 110 across the 17 of their papers we have counts for
17 papers
The Lorentz Force and Energy-Momentum for Off-Shell Electromagnetism
M. C. Land, L. P. Horwitz
The kinematics of pre-Maxwell electrodynamics is examined and interpretations of these fields is found through an examination of the associated Lorentz force and the structure of t…
An Underlying Geometrical Manifold for Hamiltonian Mechanics
L. P. Horwitz, A. Yahalom, J. Levitan +1
We show that there exists an underlying manifold with a conformal metric and compatible connection form, and a metric type Hamiltonian (which we call the geometrical picture) that…
Tunneling as a Source for Quantum Chaos
Ofir Flom, Asher Yahalom, Haggai Zilberberg +2
We use an one dimensional model of a square barrier embedded in an infinite potential well to demonstrate that tunneling leads to a complex behavior of the wave function and that t…
Quantum Field Theory of Classically Unstable Hamiltonian Dynamics
Yossi Strauss, Lawrence P. Horwitz, Jacob Levitan +1
We study a class of dynamical systems for which the motions can be described in terms of geodesics on a manifold (ordinary potential models can be cast into this form by means of a…
Uncertainty Relation for Chaos
A. Yahalom, M. Lewkowicz, J. Levitan +3
A necessary condition for the emergence of chaos is given. It is well known that the emergence of chaos requires a positive exponent which entails diverging trajectories. Here we s…
Study of a self-adjoint operator indicating the direction of time within standard quantum mechanics
Y. Strauss, J. Silman, S. Machnes +1
In [J. Math. Phys. 51 (2010) 022104] a self-adjoint operator was introduced that has the property that it indicates the direction of time within the framework of standard quantum m…