69 citations · 190 across the 13 of their papers we have counts for
5 papers · 1 filter
The Dynamical Algebra of the Hydrogen Atom as a Twisted Loop Algebra
C. Daboul, J. Daboul, P. Slodowy
We show that the dynamical symmetry of the hydrogen atom leads in a natural way to an infinite-dimensional algebra, which we identify as the positive subalgebras of twisted Kac-Moo…
Exact, E=0, Solutions for General Power-Law Potentials. II. Quantum Wave Functions
Jamil Daboul, Michael Martin Nieto
For zero energy, , we derive exact, quantum solutions for {\it all} power-law potentials, , with and . The solutions are, in general…
Exact, E=0, Solutions for General Power-Law Potentials. I. Classical Orbits
Jamil Daboul, Michael Martin Nieto
For zero energy, , we derive exact, classical solutions for {\em all} power-law potentials, , with and . When the angular momentum is non…
Exact, E=0, Classical and Quantum Solutions for General Power-Law Oscillators
Michael Martin Nieto, Jamil Daboul
For zero energy, , we derive exact, classical and quantum solutions for {\em all} power-law oscillators with potentials , and . When the…
Quantum Bound States with Zero Binding Energy
Jamil Daboul, Michael Martin Nieto
After reviewing the general properties of zero-energy quantum states, we give the explicit solutions of the \seq with for the class of potentials , where $-\infty…