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

880 citations

Showing 2010 · math-phShow all

5 papers · 2 filters

math-ph2010★ 38 cited

Extending the class of solvable potentials: III. The hyperbolic single wave

H. Bahlouli, A. D. Alhaidari

A new solvable hyperbolic single wave potential is found by expanding the regular solution of the 1D Schrödinger equation in terms of square integrable basis. The main characterist…

math-ph2010★ 32 cited

Extending the class of solvable potentials: II. Screened Coulomb potential with a barrier

A. D. Alhaidari

This is the second article in a series where we succeed in enlarging the class of solvable problems in one and three dimensions. We do that by working in a complete square integrab…

math-ph2010★ 23 cited

Dirac equation with coupling to 1/r singular vector potentials for all angular momenta

A. D. Alhaidari

We consider the Dirac equation in 3+1 dimensions with spherical symmetry and coupling to 1/r singular vector potential. An approximate analytic solution for all angular momenta is…

math-ph2010★ 13 cited

J-matrix method of scattering in one dimension: The nonrelativistic theory

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

We formulate a theory of nonrelativistic scattering in one dimension based on the J-matrix method. The scattering potential is assumed to have a finite range such that it is well r…

math-ph2010★ 8 cited

Relativistic Double Barrier Problem with Three Sub-Barrier Transmission Resonance Regions

A. D. Alhaidari, H. Bahlouli, A. Jellal

We obtain exact scattering solutions of the Dirac equation in 1+1 dimensions for a double square barrier vector potential. The potential floor between the two barriers is higher th…