66 citations · 320 across the 18 of their papers we have counts for
5 papers · 1 filter
Construction of exact solutions to eigenvalue problems by the asymptotic iteration method
Hakan Ciftci, Richard L. Hall, Nasser Saad
We apply the asymptotic iteration method (AIM) [J. Phys. A: Math. Gen. 36, 11807 (2003)] to solve new classes of second-order homogeneous linear differential equation. In particula…
Study of anharmonic singular potentials
Nasser Saad, Richard L. Hall, Qutaibeh D. Katatbeh
A simple and efficient variational method is introduced to accelerate the convergence of the eigenenergy computations for a Hamiltonian H with singular potentials. Closed-form anal…
A basis for variational calculations in d dimensions
Richard L. Hall, Qutaibeh D. Katatbeh, Nasser Saad
In this paper we derive expressions for matrix elements (ϕ_i,Hϕ_j) for the Hamiltonian H=-Δ+\sum_q a(q)r^q in d > 1 dimensions. The basis functions in each angular momentum subspac…
Relativistic N-boson systems bound by pair potentials V(r_{ij}) = g(r_{ij}^2)
Richard L. Hall, Wolfgang Lucha, Franz F. Schoeberl
We study the lowest energy E of a relativistic system of N identical bosons bound by pair potentials of the form V(r_{ij}) = g(r_{ij}^2) in three spatial dimensions. In natural uni…
Phase shifts and resonances in the Dirac equation
Piers Kennedy, Richard L. Hall, Norman Dombey
We review the analytic results for the phase shifts delta_{l}(k) in non-relativistic scattering from a spherical well. The conditions for the existence of resonances are establishe…