52 citations · 66 across the 11 of their papers we have counts for
12 papers
Raychaudhuri Equation,Geometrical Flows and Geometrical Entropy
Lawrence Paul Horwitz, Vishnu S Namboothiri, Gautham Varma K +3
Raychaudhuri equation is derived by assuming geometric flow in spacetime M of n+1 dimensions. The equation turns into a harmonic oscillator form under suitable transformations.Ther…
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…
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…
Entropy measures as geometrical tools in the study of cosmology
Gilbert Weinstein, Yosef Strauss, Sergey Bondarenko +4
Classical chaos is often characterized as exponential divergence of nearby trajectories. In many interesting cases these trajectories can be identified with geodesic curves. We def…
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…