Browsing by Author "Shalaby, A. M."
Now showing items 1-5 of 5
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Asymptotic freedom, dimensional transmutation, and an infrared conformal fixed point for the ? -function potential in one-dimensional relativistic quantum mechanics
Al-Hashimi, M.H.; Shalaby, A.M.; Wiese, U.-J. ( American Physical Society , 2014 , Article)We consider the Schr?dinger equation for a relativistic point particle in an external one-dimensional ?-function potential. Using dimensional regularization, we investigate both bound and scattering states, and we obtain ... -
Dimensional regularization of the spatial wave function for a singular contact interaction in the relativistic schrodinger equation
Shalaby, A.M. ( Institute of Physics Publishing , 2016 , Conference Paper)Based on our previous work in PRD 89, 125023 (2014), we stress here (for the first time) the regularization of the spatial wave function for the δ-contact interaction within the relativistic Schrodinger equation. The ... -
Fate of accidental symmetries of the relativistic hydrogen atom in a spherical cavity
Al-Hashimi, M.H.; Shalaby, A.M.; Wiese, U.-J. ( Elsevier Masson , 2015 , Article)The non-relativistic hydrogen atom enjoys an accidental SO(4) symmetry, that enlarges the rotational SO(3) symmetry, by extending the angular momentum algebra with the Runge–Lenz vector. In the relativistic hydrogen atom ... -
The general solution for the relativistic and nonrelativistic Schrödinger equation for the δ(n) -function potential in 1-dimension using cutoff regularization, and the fate of universality
Al-Hashimi, M. H.; Salman, M.; Shalaby, A. M. ( World Scientific Publishing , 2022 , Article)A general method has been developed to solve the Schrödinger equation for an arbitrary derivative of the δ-function potential in 1-d using cutoff regularization. The work treats both the relativistic and nonrelativistic ... -
Majorana fermions in a box
Al-Hashimi, M.?H.; Shalaby, A.?M.; Wiese, U.-J. ( American Physical Society , 2017 , Article)Motivated by potential applications to ultracold matter, we perform a theoretical study of Majorana fermions confined to a finite volume, whose boundary conditions are characterized by self-adjoint extension parameters. ...