124 citations · 309 across the 17 of their papers we have counts for
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The General Solution for the Relativistic and Nonrelativistic Schrödinger Equation for the -Function Potential in 1-dimension Using Cutoff Regularization, and the Fate of Universality
M. H. Al-Hashimi, M. Salman, A. M. Shalaby
A general method has been developed to solve the Schrödinger equation for an arbitrary derivative of the -function potential in 1-d using cutoff regularization. The work treats…
Majorana Fermions in a Box
M. H. Al-Hashimi, A. M. Shalaby, U. -J. Wiese
Majorana fermion dynamics may arise at the edge of Kitaev wires or superconductors. Alternatively, it can be engineered by using trapped ions or ultracold atoms in an optical latti…
The Solution of the Relativistic Schrodinger Equation for the -Function Potential in 1-dimension Using Cutoff Regularization
M. H. Al-Hashimi, A. M. Shalaby
We study the relativistic version of Schrödinger equation for a point particle in 1-d with potential of the first derivative of the delta function. The momentum cutoff regularizati…
A Solution of the Relativistic Schrödinger Equation for the -Function Potential in 1-dimensiona with Cutoff Regularization
M. H. Al-Hashimi, Abouzeid M. Shalaby
We study the solution of the relativistic Schrödinger equation for a point particle in 1-d under -function potential by using cutoff regularization. We show that the problem is…
Asymptotic Freedom, Dimensional Transmutation, and an Infra-red Conformal Fixed Point for the -Function Potential in 1-dimensional Relativistic Quantum Mechanics
M. H. Al-Hashimi, A. M. Shalaby, U. -J. Wiese
We consider the Schrödinger equation for a relativistic point particle in an external 1-dimensional -function potential. Using dimensional regularization, we investigate both bo…
Supersymmetric Descendants of Self-Adjointly Extended Quantum Mechanical Hamiltonians
M. H. Al-Hashimi, M. Salman, A. Shalaby +1
We consider the descendants of self-adjointly extended Hamiltonians in supersymmetric quantum mechanics on a half-line, on an interval, and on a punctured line or interval. While t…