Electronic International Standard Serial Number (EISSN)
1873-5649
abstract
The standard Fourier transform method is used to analyze the expression of the Green's function regular at infinity for the Sturm-Liouville matrix operator in the important case of position independent parameters. A quadratic eigenvalue and eigenvector problem appears naturally. The classification of the former problem solutions allows to obtain the Green's function in a compact general form. Different physical problems were analyzed and the corresponding Green's function for various elementary excitations in less studied systems was predicted also.
Classification
subjects
Mathematics
Physics
keywords
sturm-liouville problem; green's function; multilayer systems; qep problem