Browsing by Author "Falomir, Horacio"

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    ζ-function for a model with spectral dependent boundary conditions
    (2025) Falomir, Horacio; Loewe, Marcelo; Muñoz, Enrique; Rojas Gómez-Lobo, Juan Cristóbal
    We explore the meromorphic structure of the zeta-function associated with 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 that follow the general rule valid for second-order differential operator 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.
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    Optical conductivity and transparency in an effective model for graphene
    (2018) Falomir, Horacio; Loewe Lobo, Marcelo Patricio; Muñoz Tavera, Enrique; Raya, Alfredo