57 citations · 477 across the 76 of their papers we have counts for
19 papers · 1 filter
Relativistic Entanglement
Lawrence Horwitz, Rafael I. Arshansky
The relativistic quantum theory of Stueckelberg, Horwitz and Piron (SHP) describes in a simple way the experiment on interference in time of an electron emitted by femtosecond lase…
Geometry of Quantum Riemannian Hamiltonian Evolution
Gil Elgressy, Lawrence Horwitz
This work concerns a study of the quantum mechanical extension of the work of Horwitz et al. [1] on the stability of classical Hamiltonian systems by geometrical methods. Simulatio…
Induced Representations of Tensors and Spinors of any Rank in the SHP Theory
Lawrence P. Horwitz, Meir Zeilig-Hess
We show that a modification of Wigner's induced representation for the description of a relativistic particle with spin can be used to construct spinors and tensors of arbitrary ra…
Spin, angular momentum and spin-statistics for a relativistic quantum many body system
Lawrence Horwitz
The adaptation of Wigner's induced representation for a relativistic quantum theory making possible the construction of wavepackets and admitting covariant expectation values for t…
Semigroup evolution in Wigner Weisskopf pole approximation with Markovian spectral coupling
F. Shikerman, A. Peer, L. P. Horwitz
We establish the relation between the Wigner-Weisskopf theory for the description of an unstable system and the theory of coupling to an environment. According to the Wigner-Weissk…
Transition Decomposition of Quantum Mechanical Evolution
Y. Strauss, J. Silman, S. Machnes +1
We show that the existence of the family of self-adjoint Lyapunov operators introduced in [J. Math. Phys. 51, 022104 (2010)] allows for the decomposition of the state of a quantum…
Energy Gaps in a Spacetime Crystal
L. P. Horwitz, E. Z. Engelberg
This paper presents an analysis of the band structure of a spacetime potential lattice created by a standing electromagnetic wave. We show that there are energy band gaps. We estim…
An Arrow of Time Operator for Standard Quantum Mechanics
Y. Strauss, J. Silman, S. Machnes +1
We introduce a self-adjoint operator that indicates the direction of time within the framework of standard quantum mechanics. That is, as a function of time its expectation value d…
The EPR experiment in the energy-based stochastic reduction framework
J. Silman, S. Machnes, S. Shnider +2
We consider the EPR experiment in the energy-based stochastic reduction framework. A gedanken set up is constructed to model the interaction of the particles with the measurement d…
Approximate resonance states in the semigroup decomposition of resonance evolution
Y. Strauss, L. P. Horwitz, A. Volovick
The semigroup decomposition formalism makes use of the functional model for class contractive semigroups for the description of the time evolution of resonances. For a giv…
The Geometry of Stochastic Reduction of an Entangled System
Ari Belenkiy, Steve Shnider, Lawrence Horwitz
We show that the method of stochastic reduction of linear superpositions can be applied to the process of disentanglement for the spin-0 state of two spin-1/2 particles. We describ…
On the significance of a recent experiment demonstrating quantum interference in time
Lawrence P. Horwitz
I comment on the interpretation of a recent experiment showing quantum interference in time. It is pointed out that the standard nonrelativistic quantum theory, used by the authors…
Stark Effect in Lax-Phillips Theory
Tamar Ben Ari, L. P. Horwitz
The scattering theory of Lax and Phillips, originally developed to describe resonances associated with classical wave equations, has been recently extended to apply as well to the…
Lax-Phillips evolution as an evolution of Gell-Mann-Hartle-Griffiths histories and emergence of the Schröedinger equation for a stable history
D. Bar, L. P. Horwitz
Using the Gell-Mann-Hartle-Griffiths formalism in the framework of the Flesia-Piron form of the Lax-Phillips theory we show that the Schröedinger equation may be derived as a condi…
Phase transitions in a one-dimensional multibarrier potential of finite range
D. Bar, L. P. Horwitz
We have previously studied properties of a one-dimensional potential with equally spaced identical barriers in a (fixed) finite interval for both finite and infinite . It wa…
Dynamical effects of a one-dimensional multibarrier potential of finite range
D. Bar, L. P. Horwitz
We discuss the properties of a large number N of one-dimensional (bounded) locally periodic potential barriers in a finite interval. We show that the transmission coefficient, the…
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…
Lax-Phillips Theory and Quantum Evolution
L. P. Horwitz, E. Eisenberg, Y. Strauss
The scattering theory of Lax and Phillips, designed primarily for hyperbolic systems, such as electromagnetic or acoustic waves, is described. This theory provides a realization of…