output
19932026
most citedDynamical decoupling and noise spectroscopy with a superconducting flux qubit

880 citations

Showing 2007Show all

12 papers · 1 filter

math.DG2007★ 14 cited

Constructing a Space from the System of Geodesic Equations

E. Fredericks, F. M. Mahomed, E. Momoniat +1

Given a space it is easy to obtain the system of geodesic equations on it. In this paper the inverse problem of reconstructing the space from the geodesic equations is addressed. A…

quant-ph2007

Solution of the wave equation in a tridiagonal representation space

E. El Aaoud, H. Bahlouli, A. D. Alhaidari

We use variable transformation from the real line to finite or semi-infinite spaces where we expand the regular solution of the 1D time-independent Schrodinger equation in terms of…

physics.atom-ph2007★ 31 cited

Charged particle in the field an electric quadrupole in two dimensions

A. D. Alhaidari

We obtain analytic solution of the time-independent Schrodinger equation in two dimensions for a charged particle moving in the field of an electric quadrupole. The solution is wri…

physics.atom-ph2007★ 35 cited

Taming the Yukawa potential singularity: improved evaluation of bound states and resonance energies

A. D. Alhaidari, H. Bahlouli, M. S. Abdelmonem

Using the tools of the J-matrix method, we absorb the 1/r singularity of the Yukawa potential in the reference Hamiltonian, which is handled analytically. The remaining part, which…

physics.chem-ph2007★ 39 cited

Analytic solution of the Schrodinger equation for an electron in the field of a molecule with an electric dipole moment

A. D. Alhaidari

We relax the usual diagonal constraint on the matrix representation of the eigenvalue wave equation by allowing it to be tridiagonal. This results in a larger solution space that i…

physics.chem-ph2007★ 81 cited

The rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation: I. Bound states

I. Nasser, M. S. Abdelmonem, H. Bahlouli +1

This is the first in a series of articles in which we study the rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation. Here, we compute t…

math.AC2007

Ratliff-Rush Closure of Ideals in Integral Domains

Abdeslam Mimouni

This paper studies the Ratliff-Rush closure of ideals in integral domains. By definition, the Ratliff-Rush closure of an ideal of a domain is the ideal given by $\tilde{I}:…

math-ph2007★ 7 cited

On the Exponential Decay of the n-point Correlation Functions and the Analyticity of the Pressure

Assane Lo

The goal of this paper is to provide estimates leading to a direct proof of the exponential decay of the n-point correlation functions for certain unbounded models of Kac type. The…

math.RA2007

Injective Morita contexts (revisited)

J. Y. Abuhlail, S. K. Nauman

This paper is an exposition of the so-called injective Morita contexts (in which the connecting bimodule morphisms are injective) and Morita contexts (in which the connecting bi…

physics.atom-ph2007★ 32 cited

Relativistic scattering with spatially-dependent effective mass in the Dirac equation

A. D. Alhaidari, H. Bahlouli, A. Al-Hasan +1

We formulate an algebraic relativistic method of scattering for systems with spatially dependent mass based on the J-matrix method. The reference Hamiltonian is the three-dimension…

quant-ph2007★ 39 cited

Relativistic extension of the complex scaling method

A. D. Alhaidari

We construct a tridiagonal matrix representation for the three dimensions Dirac-Coulomb Hamiltonian that provides for a simple and straightforward relativistic extension of the com…

math.RA2007

A Zariski Topology for Bicomodules and Corings

Jawad Y. Abuhlail

In this paper we introduce and investigate top (bi)comodules} of corings, that can be considered as dual to top (bi)modules of rings. The fully coprime spectra of such (bi)comodule…