52 citations · 52 across the 3 of their papers we have counts for
4 papers
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…
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…
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…
Chaotic enhancement of decay. The effect of classical phase space structure
Yosef Ashkenazy, Luca Bonci, Jacob Levitan +1
We investigate the decay process from a time dependent potential well in the semiclassical regime. The classical dynamics is chaotic and the decay rate shows an irregular behavior…