1 citations · 2 across the 3 of their papers we have counts for
4 papers
Canonical quantization on the half-line and in an interval based upon a new concept for the momentum in a space with boundaries
M. H. Al-Hashimi, U. -J. Wiese
For a particle moving on a half-line or in an interval the operator is not self-adjoint and thus does not qualify as the physical momentum. Consequently c…
A New Concept for the Momentum of a Quantum Mechanical Particle in a Box
M. H. Al-Hashimi, U. -J. Wiese
For a particle in a box, the operator is not Hermitean. We provide an alternative construction of a momentum operator , which has a Hermitean comp…
Energy and Angular Momentum Dependent Potentials with Closed Orbits
Munir Al-Hashimi
The Bertrand theorem concluded that; the Kepler potential, and the isotropic harmonic oscillator potential are the only systems under which all the orbits are closed. It was never…
Fate of Accidental Symmetries of the Relativistic Hydrogen Atom in a Spherical Cavity
M. H. Al-Hashimi, A. M. Shalaby, U. -J. Wiese
The non-relativistic hydrogen atom enjoys an accidental symmetry, that enlarges the rotational symmetry, by extending the angular momentum algebra with the Runge-Le…