59 citations · 264 across the 16 of their papers we have counts for
16 papers
Energy-level crossings and number-parity effects in a bosonic tunneling model
Davids Agboola, Phillip S. Isaac, Jon Links
An exactly solved bosonic tunneling model is studied along a line of the coupling parameter space, which includes a quantum phase boundary line. The entire energy spectrum is compu…
Uniform electron gases: III. Low-density gases on three-dimensional spheres
Davids Agboola, Anneke L. Knol, Peter M. W. Gill +1
By combining variational Monte Carlo (VMC) and complete-basis-set limit Hartree-Fock (HF) calculations, we have obtained near-exact correlation energies for low-density same-spin e…
Basis functions for electronic structure calculations on spheres
Peter M. W. Gill, Pierre-François Loos, Davids Agboola
We introduce a new basis function (the spherical gaussian) for electronic structure calculations on spheres of any dimension . We find \alert{general} expressions for the one- a…
New quasi-exactly solvable class of generalized isotonic oscillators
Davids Agboola, Jon Links, Ian Marquette +1
We introduce a new family of quasi-exactly solvable generalized isotonic oscillators which are based on the pseudo-Hermite exceptional orthogonal polynomials. We obtain exact close…
Quasi-exactly solvable relativistic soft-core Coulomb models
Davids Agboola, Yao-Zhong Zhang
By considering a unified treatment, we present quasi exact polynomial solutions to both the Klein-Gordon and Dirac equations with the family of soft-core Coulomb potentials $V_q(r)…
Exact solutions to relativistic singular fractional power potentials
Davids Agboola, Yao-Zhong Zhang
We present (exact) solutions of the Dirac equation with equally mixed interactions for a single fermion bounded by the family of fractional power singular potentials. Closed-form e…