2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74333We study the semi-classical behavior of the spectral function of the Schrödinger operator with short range potential. We prove that the spectral function is a semi-classical Fourier integral operator quantizing the forward and backward flow relations of the system. Under a certain geometric condition we explicitly compute the phase in an oscillatory integral representation of the spectral function.10 pagesAnalysis of PDEs35P05, 35S99Semi-Classical Behavior of the Spectral Functiontext