Speaker
Prof.
Marcelo Loewe
(Universidad San Sebastian)
Description
Abstract. We explore the meromorphic structure of the ζ-function associated to
the boundary eigenvalue problem of a modified Sturm-Liouville operator subject to
spectral dependent boundary conditions at one end of a segment of length l. We
find that it presents isolated simple poles which follow the general rule valid for second
order differential subject to standard local boundary conditions. We employ our results
to evaluate the determinant of the operator and the Casimir energy of the system it
describes, and study its dependence on l for both the massive and the massless cases.
Author
Prof.
Marcelo Loewe
(Universidad San Sebastian)
Co-authors
Prof.
Enrique Muñoz
(Pontificia Universidad Católica de Chile)
Prof.
Horacio Falomir
(Univeridad Nacional de La Plata)
Prof.
Juan Cristóbal Rojas
(Universidad Católica del Norte)
