69 citations · 190 across the 13 of their papers we have counts for
13 papers
Symmetries of the pseudo-diffusion equation, and its unconventional 2-sided kernel
Jamil Daboul, Faruk Gungor, Dongsheng Liu +1
We determine by two related methods the invariance algebra $\g$ of the \emph{`pseudo-diffusion equation'} (PSDE) $$ L~Q \equiv \left[\frac {\partial}{\partial t} -\frac 1 4 \left(\…
Extended Orbits-Fixedpoints Relations
Jamil Daboul
I extend further, using new proofs, two generalizations of an earlier orbits-fixed-points theorem, which was restricted to group action of the symmetric group. The extended equalit…
Contraction of broken symmetries via Kac-Moody formalism
Jamil Daboul
I investigate contractions via Kac-Moody formalism. In particular, I show how the symmetry algebra of the standard 2-D Kepler system, which was identified by Daboul and Slodowy as…
Analysis of the SGA method for obtaining energy spectra
Patricio Cordero, Jamil Daboul
We analyze and clarify how the SGA (spectrum generating algebra) method has been applied to different potentials. We emphasize that each energy level obtained originally by M…
Quantum gates on hybrid qudits
Jamil Daboul, Xiaoguang Wang, Barry C Sanders
We introduce quantum hybrid gates that act on qudits of different dimensions. In particular, we develop two representative two-qudit hybrid gates (SUM and SWAP) and many-qudit hybr…
Unitary transformations for testing Bell inequalities
S. D. Bartlett, D. A. Rice, B. C. Sanders +2
It is shown that optical experimental tests of Bell inequality violations can be described by SU(1,1) transformations of the vacuum state, followed by photon coincidence detections…