2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/88751It is pointed out that for a general short-ranged potential the Lippmann-Schwinger-Low scattering state $|ψ^L_k>$ does not strictly satisfy the Schrodinger eigen equation, and the pair $|ψ^L_n>$, $|ψ^L_k>$ is mutually nonorthogonal if $E_n=E_k$. For this purpose, we carefully use an infinitesimal adiabatic parameter $ε$, a nonlinear relation among transition amplitudes, and a separable interaction as illustration.9 pages (modified version)Quantum PhysicsOn the Non-Orthonormality of Lippmann-Schwinger-Low Statestext