José Luis Jaramillo, 2, ∗ Carlos F. Sopuerta, † and Priscilla Canizares ‡ Max Planck Institut für Gravitationsphysik, Albert-Einstein-Institut, 14476 Potsdam, Germany Laboratoire Univers et Théories (LUTH), Observatoire de Paris, CNRS, Université Paris Diderot, 92190 Meudon, France Institut de Ciències de l’Espai (CSIC-IEEC), Facultat de Ciències, Campus UAB, Torre C5 parells, 08193 Bellaterra,...

We explore the extent to which a variant of a celebrated formula due to Jost and Pais, which reduces the Fredholm perturbation determinant associated with the Schrödinger operator on a half-line to a simple Wronski determinant of appropriate distributional solutions of the underlying Schrödinger equation, generalizes to higher dimensions. In this multi-dimensional extension the half-line is rep...

The ground state energy of a quantum field in the background of classical field configurations is considered. The subject of the ground state energy in framework of the quantum field theory is explained. The short review of calculation methods (generalized zeta function and heat kernel expansion ) and its mathematical foundations is given. We use the zeta-functional regularization and express t...

We develop a formalism for the calculation of the ground state energy of a spinor field in the background of a cylindrically symmetric magnetic field. The energy is expressed in terms of the Jost function of the associated scattering problem. Uniform asymptotic expansions needed are obtained from the Lippmann-Schwinger equation. The general results derived are applied to the background of a fin...

Social identity theory typically emphasizes how low status group members resist and challenge imputations of inferiority (Tajfel & Turner, 1979), whereas system justification theory emphasizes the tendency to accept and justify status hierarchies ( Jost & Banaji, 1994). On the theoretical assumption that responses to ingroup inferiority would vary according to individual differences in social d...

Motivated by the work of Regge ([19, 20]) we are interested in the problem of recovering a radial potential in R from its resonance parameters, which are zeros of the appropriately defined Jost function. For a potential of compact support these may in turn be identified as the complex eigenvalues of a non-selfadjoint SturmLiouville problem with an eigenparameter dependent boundary condition. In...

We calculate the vacuum energy of a spinor field in the background of a Nielsen-Olesen vortex. We use the method of representing the vacuum energy in terms of the Jost function on the imaginary momentum axis. Renormalization is carried out using the heat kernel expansion and zeta functional regularization. With this method well convergent sums and integrals emerge which allow for an efficient n...

People are often faced with threats to the legitimacy of their sociopolitical system. According to system-justification theory, when faced with such threats, people are motivated to restore their faith in the status quo by engaging in psychological processes that bolster its apparent legitimacy (Jost, Banaji, & Nosek, 2004). How might such processes of system justification manifest themselves i...