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quant-ph2021
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…
quant-ph2020★ 1 cited
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…
quant-ph2015★ 1 cited
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…