Hassan Harb

activity

20082020

most citedComparison theorems for the Klein-Gordon equation in d dimensions

17 citations · 17 across the 1 of their papers we have counts for

collaborators

3 papers

math-ph2020

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 $v > 0,$ the basic Klein--Gordon comparison theorem may be written $f_1\leq f_2\implies G_1(E…

math-ph2019

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 $φ^{''} (x) = [m^{2} - (E - v f (x))^{2}] φ (x),$ for bounded vector potentials which in one spatial dime…

math-ph2008★ 17 cited

Comparison theorems for the Klein-Gordon equation in d dimensions

Richard L. Hall, M. D. S. Aliyu

Two comparison theorems are established for discrete eigenvalues of the Klein-Gordon equation with an attractive central vector potential in d >= 1 dimensions. (I) If ψ_1 and ψ_2 a…