A class of Fredholm integral equations of the second kind is studied, with kernel separable outside the basic interval (a,b). Using theorems of matrix algebra the solution for x outside (a,b) is found in terms of the Fredholm determinants in a simple and compact form. As a particular case, the quantum propagator for one-dimensional problems is obtained.
On a class of integral equations having application in quantum dynamics
Ilaria Cacciari;Paolo Moretti
2007
Abstract
A class of Fredholm integral equations of the second kind is studied, with kernel separable outside the basic interval (a,b). Using theorems of matrix algebra the solution for x outside (a,b) is found in terms of the Fredholm determinants in a simple and compact form. As a particular case, the quantum propagator for one-dimensional problems is obtained.File in questo prodotto:
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