57 citations · 477 across the 76 of their papers we have counts for
6 papers · 1 filter
Representation of the Resonances of a Relativistic Quantum Field Theoretical Model in Lax-Phillips Scattering Theory
Y. Strauss, L. P. Horwitz
We apply the quantum Lax-Phillips scattering theory to a relativistically covariant quantum field theoretical form of the (soluble) Lee model. We construct the translation represen…
Structure and Properties of Hughston's Stochastic Extension of the Schrödinger Equation
Stephen L. Adler, Lawrence P. Horwitz
Hughston has recently proposed a stochastic extension of the Schrödinger equation, expressed as a stochastic differential equation on projective Hilbert space. We derive new projec…
The Radiative Kicked Oscillator: A Stochastic Web or Chaotic Attractor ?
Y. Ashkenazy, L. P. Horwitz
A relativistic charged particle moving in a uniform magnetic field and kicked by an electric field is considered. Under the assumption of small magnetic field, an iterative map is…
Representation of the Resonance of a Relativistic Quantum Field Theoretical Lee-Friedrichs Model in Lax-Phillips Scattering Theory
Y. Strauss, L. P. Horwitz
The quantum mechanical description of the evolution of an unstable system defined initially as a state in a Hilbert space at a given time does not provide a semigroup (exponential)…
Chaos and Maps in Relativistic Dynamical Systems
L. P. Horwitz, Y. Ashkenazy
The basic work of Zaslavskii et al showed that the classical non-relativistic electromagnetically kicked oscillator can be cast into the form of an iterative map on the phase space…
The Effect of Radiation on the Stochastic Web
Y. Ashkenazy, L. P. Horwitz
A charged particle circling in a uniform magnetic field and kicked by an electric field is considered. Under the assumption of small magnetic field, an iterative map is developed.…