Browsing Mathematics, Statistics & Physics by Author "Wiese, U.-J."
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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 ... -
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 ... -
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. ...