561 citations · 2.4k across the 91 of their papers we have counts for
93 papers
Refining the general comparison theorem for Klein-Gordon equation
Richard L. Hall, Hassan Harb
By recasting the Klein--Gordon equation as an eigen-equation in the coupling parameter the basic Klein--Gordon comparison theorem may be written $f_1\leq f_2\implies G_1(E…
General comparison theorems for the Klein-Gordon equation in d dimensions
Richard L. Hall, Hassan Harb
We study bound-state solutions of the Klein-Gordon equation for bounded vector potentials which in one spatial dime…
Potential envelope theory and the local energy theorem
Ryan Gibara, Richard L. Hall
We consider a one--particle bound quantum mechanical system governed by a Schrödinger operator , where is an attractive central potential, and $v>…
Exact normalized eigenfunctions for general deformed Hulthén potentials
Richard L. Hall, Nasser Saad, K. D. Sen
The exact solutions of Schrödinger's equation with the deformed Hulthén potential are given, along with a closed--form form…
The -dimensional softcore Coulomb potential and the generalized confluent Heun equation
Richard L Hall, Nasser Saad, Kyle R. Bryenton
An analysis of the generalized confluent Heun equation in -dimensional space, where $\{α_i, β_i, \…
Exact and approximate solutions of Schrödinger's equation with hyperbolic double-well potentials
Richard L. Hall, Nasser Saad
Analytic and approximate solutions for the energy eigenvalues generated by the hyperbolic potentials are constructed.…