Approximate Solutions to the Dirac Equation with Effective Mass for the Manning–Rosen Potential in N Dimensions

The solutions of the effective mass Dirac equation for the Manning–Rosen potential with the centrifugal term are studied approximately in N dimension. The relativistic energy spectrum and two-component spinor eigenfunctions are obtained by the asymptotic iteration method. We have also investigated eigenvalues of the effective mass Dirac–Manning–Rosen problem for α = 0  or  α = 1. In this case, the Manning–Rosen potential reduces to the Hulthen potential.     

Geometrization in the Yang-Mills extended supergravity and Klein-Kaluza versions

We relate personal encounters of three kinds with geometrical approaches, in the development of a relativistic quantum field theory of the fundamental interactions—including interactions with Nathan Rosen. We characterize the geometrical structures involved and discuss the more recent attempts to develop a unified theory based on a Klein-Kaluza contraction of the eightfold extended supergravity.Invited paper, dedicated to Nathan Rosen on the occasion of his seventy-fifth birthday.On leave from Tel Aviv University, Israel, and the University of Texas at Austin, Texas.     

Gravitational field of electrically charged mass in the Lobachevski space

A variant of the Rosen bimetric general relativity with the Lobachevski background space metric is considered. An exact static external solution for the gravitational field of a concentrated electrically charged mass is found when the space is spherically symmetric. When the Lobachevski constant k , the solution turns into the Nordström-Reissner solution in general relativity, expressed via the harmonic coordinates. The results are also valid for the Chernikov theory with two connections and one metric.Dedicated to Professor N. Rosen on the occasion of his 85th birthday.     

Bi-metric theories of gravitation

The bi-metric theory recently proposed by Rosen is examined in the case of superdense static objects.     

Splitting spacetime and cloning qubits: linking no‐go theorems across the ER=EPR duality

We analyze the no‐cloning theorem in quantum mechanics through the lens of the proposed ER=EPR (Einstein‐Rosen = Einstein‐Podolsky‐Rosen) duality between entanglement and wormholes. In particular, we find that the no‐cloning theorem is dual on the gravity side to the no‐go theorem for topology change, violating the axioms of which allows for wormhole stabilization and causality violation. Such a duality between important no‐go theorems elucidates the proposed connection between spacetime geometry and quantum entanglement.     

Quantum secure direct communication network with Einstein–Podolsky–Rosen pairs

We discuss the four requirements for a real point-to-point quantum secure direct communication (QSDC) first, and then present two efficient QSDC network schemes with an N ordered Einstein–Podolsky–Rosen pairs. Any one of the authorized users can communicate another one on the network securely and directly.     

Spin Correlations in Nonrelativistic Quantum Mechanics

Einstein—Podolsky—Rosen spin correlations in the framework of nonrelativistic quantum mechanics for moving observers are calculated. The measurements are performed in bounded regions of space (detectors), not necessarily simultaneously. The resulting correlation function depends not only on the directions of spin measurements but also on the relative velocity of the observers.     

Analytical Solution of the Schrödinger Equation for the Linear Combination of the Manning–Rosen and the Class of Yukawa Potentials

Russian Physics Journal - In the present work, an analytical solution for bound states of the modified Schrödinger equation is found for the new supposed combined Manning–Rosen potential...     

Teleportation of Any Form of Two-Mode Quantum States

By using two two-mode Einstein–Podolsky–Rosen (EPR) pair eigenstates or two two-mode squeezed states as quantum channels we study the quantum teleportation of any form of two-mode quantum states, which conclude discrete and continuous variable quantum states.     

Letter: Some Remarks on Standing Gravitational Waves

An intuitive definition of standing gravitational waves is proposed. Some main classes of exact vacuum solutions are searched for standing gravitational waves, in most cases with a negative result. Only some Einstein–Rosen waves meet the conditions.     

A discussion of the Pseudo-Weyl-type metrics

We discuss the pseudo-Weyl vacuum field for which the two metric functions, and , depend on the three coordinates, z, andt. It is shown that no solutions exist that depend on all three coordinates. Consideration is given to the time-dependent metric of Einstein and Rosen and the same (null) result is shown to hold for that case. Thus, the most general solutions to the Weyl-type metric appear to be those already found by Weyl and by Einstein and Rosen.     

On Axially Symmetric Domain Walls and Cosmic Strings in Bimetric Theory

It is shown that the axially symmetric thick domain walls and cosmic strings do not survive in the frame work of bimetric theory of gravitation proposed by Rosen (Gen. Relativ. Gravit. 4:435, 1973). Hence vacuum models are presented and studied.     

Inhomogeneous Plane Symmetric String Cosmological Models in Bimetric Theory

It is shown that the inhomogeneous plane symmetric perfect fluid distribution and cosmic strings do not survive in frame work of bimetric theory of gravitation proposed by Rosen (Gen. Relativ. Gravit. 4:435, 1973). Hence vacuum models are presented and studied.     

Approximate solutions of Klein-Gordon equation with improved Manning-Rosen potential in D-dimensions using SUSYQM

In this paper, we present solutions of the Klein–Gordon equation for the improved Manning–Rosen potential for arbitrary l state in d-dimensions using the supersymmetric shape invariance method. We obtained the energy levels and the corresponding wave functions expressed in terms of Jacobi polynomial in a closed form for arbitrary l state. We also calculate the oscillator strength for the potential.     

Exact theorems concerning CP and CPT violations in <Emphasis Type="Italic">C</Emphasis>=−1 entangled state of pseudoscalar neutral mesons

Neutral pseudoscalar mesons in an entangled or Einstein–Podolsky–Rosen state are routinely produced in ϕ and B factories. Based on the peculiar properties of an entangled state, we present some general exact theorems about parameters characterizing CP and CPT violations, by using various asymmetries defined for the correlated decays of the two entangled mesons, which are rigorously calculated.     

High energy quantum teleportation using neutral kaons

We describe a scheme of stochastic implementations of quantum teleportation and entanglement swapping in terms of neutral kaons. In this scheme, the kaon whose state is to be teleported collides with one of the two entangled kaons in an Einstein–Podolsky–Rosen state. Subsequent detection of the outgoing particles of the collision completes the two-qubit projection on Alice side. There appear novel features, which connects quantum information science with fundamental laws of particle physics.     

Gravitational Decoherence and EPR Correlations

It is shown that gravitons in a mixed (thermal) state can lead to a decoherence in large quantum systems. As a consequence the nonlocal Einstein–Podolsky–Rosen phenomena resulting from quantum coherence can disappear in some particle states after a quantization of Einstein gravity.     

Geometrization in the Yang-Mills,extended supergravity,and Klein-Kaluza versions

We relate personal encounters of three kinds with geometrical approaches in the development of a relativistic quantum field theory of the fundamental interactions—including interactions with Nathan Rosen. We characterize the geometrical structures involved and discuss the more recent attempts to develop a unified theory based on a Klein-Kaluza contraction of the eightfold extended supergravity.Publisher's note: The full paper will appear inFoundations of Physics, Volume 15, Number 3, March 1985.