66 citations · 301 across the 16 of their papers we have counts for
4 papers · 2 filters
Exact solutions for semirelativistic problems with non-local potentials
Richard L. Hall
It is shown that exact solutions may be found for the energy eigenvalue problem generated by the class of semirelativistic Hamiltonians of the form H = sqrt{m^2+p^2} + hat{V}, wher…
Green's function for a Schroedinger operator and some related summation formulas
Attila B. von Keviczky, Nasser Saad, Richard L. Hall
Summation formulas are obtained for products of associated Lagurre polynomials by means of the Green's function K for the Hamiltonian H = -{d^2\over dx^2} + x^2 + Ax^{-2}, A > 0. K…
Iterative solutions to the Dirac equation
Hakan Ciftci, Richard L. Hall, Nasser Saad
We consider a single particle which is bound by a central potential and obeys the Dirac equation in d dimensions. We first apply the asymptotic iteration method to recover the know…
Perturbation theory in a framework of iteration methods
Hakan Ciftci, Richard L. Hall, Nasser Saad
In a previous paper (J. Phys. A 36, 11807 (2003)), we introduced the `asymptotic iteration method' for solving second-order homogeneous linear differential equations. In this paper…