activity
20072009
most citedHypergeometric-Gaussian Modes

297 citations · 398 across the 5 of their papers we have counts for

collaborators

5 papers

quant-ph200922 cited

Universal unitary gate for single-photon spinorbit four-dimensional states

Sergei Slussarenko, Ebrahim Karimi, Bruno Piccirillo +2

The recently demonstrated possibility of entangling opposite values of the orbital angular momentum (OAM) of a photon with its spin enables the realization of nontrivial one-photon…

physics.optics200845 cited

Improved focusing with Hypergeometric-Gaussian type-II optical modes

Ebrahim Karimi, Bruno Piccirillo, Lorenzo Marrucci +1

We present a novel family of paraxial optical beams having a confluent hypergeometric transverse profile, which we name hypergeometric Gauss modes of type-II (HyGG-II). These modes…

math-ph200813 cited

Mapping of shape invariant potentials by the point canonical transformation

M. R. Setare, E. Karimi

In this paper by using the method of point canonical transformation we find that the Coulomb and Kratzer potentials can be mapped to the Morse potential. Then we show that the Pösc…

physics.optics2007297 cited

Hypergeometric-Gaussian Modes

Ebrahim Karimi, Gianluigi Zito, Bruno Piccirillo +2

We studied a novel family of paraxial laser beams forming an overcomplete yet nonorthogonal set of modes. These modes have a singular phase profile and are eigenfunctions of the ph…

quant-ph200721 cited

Algebraic approach to the Hulthen potential

Mohammad R. Setare, Ebrahim Karimi

In this paper the energy eigenvalues and the corresponding eigenfunctions are calculated for Hulthen potential. Then we obtain the ladder operators and show that these operators sa…