40 citations · 294 across the 29 of their papers we have counts for
9 papers · 1 filter
A New Example of the Effects of a Singular Background on the Zeta Function
Horacio Falomir, Joaquín Liniado, Pablo Pisani
To motivate our discussion, we consider a 1+1 dimensional scalar field interacting with a static Coulomb-type background, so that the spectrum of quantum fluctuations is given by a…
Spectral functions of non essentially selfadjoint operators
H. Falomir, P. A. G. Pisani
One of the many problems to which J.S. Dowker devoted his attention is the effect of a conical singularity in the base manifold on the behavior of the quantum fields. In particular…
Perturbation Theory on the Non-Commutative Plane with a Singular Potential
M. Nieto, P. A. G. Pisani, H. Falomir
In this article we study the problem of a non-relativistic particle in the presence of a singular potential in the noncommutative plane. The potential contains a term proportional…
Spectral Functions of Singular Operators
Pablo Pisani
The asymptotic expansion of the heat-kernel for small values of its argument has been studied in many different cases and has been applied to 1-loop calculations in Quantum Field T…
Krein's Formula And Heat-Kernel Expansion For Some Differential Operators With A Regular Singularity
H. Falomir, P. A. G. Pisani
We get a generalization of Krein's formula -which relates the resolvents of different selfadjoint extensions of a differential operator with regular coefficients- to the non-regula…
On the resolvent and spectral functions of a second order differential operator with a regular singularity
H. Falomir, M. A. Muschietti, P. A. G. Pisani
We consider the resolvent of a second order differential operator with a regular singularity, admitting a family of self-adjoint extensions. We find that the asymptotic expansion f…