604 citations
- Central China Normal UniversityCN32 papers
- Purdue University West LafayetteUS17 papers
- Chinese Academy of SciencesCN11 papers
- Institute of Modern PhysicsCN10 papers
- Baylor UniversityUS9 papers
- Centre National de la Recherche ScientifiqueFR9 papers
- Fudan UniversityCN9 papers
- Texas A&M UniversityUS9 papers
- Wuhan University of Science and TechnologyCN9 papers
- University of Chinese Academy of SciencesCN8 papers
- University of WaterlooCA8 papers
- Brookhaven National LaboratoryUS7 papers
9 papers · 1 filter
The exotic structure of the spectral -function for the Schrödinger operator with Pöschl--Teller potential
Guglielmo Fucci, Jonathan Stanfill
This work focuses on the analysis of the spectral -function associated with a Schrödinger operator endowed with a Pöschl--Teller potential. We construct the spectral -functio…
The spectral -function for quasi-regular Sturm--Liouville operators
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill
In this work we analyze the spectral -function associated with the self-adjoint extensions, , of quasi-regular Sturm--Liouville operators that are bounded from below. B…
Casimir pistons with generalized boundary conditions: a step forward
Guglielmo Fucci, Klaus Kirsten, Jose M. Munoz-Castaneda
In this work we study the Casimir effect for massless scalar fields propagating in a piston geometry of the type where is an interval of the real line and is a…
Asymptotic Expansion of the Heat Kernel Trace of Laplacians with Polynomial Potentials
Guglielmo Fucci
It is well-known that the asymptotic expansion of the trace of the heat kernel for Laplace operators on smooth compact Riemmanian manifolds can be obtained through termwise integra…
Expansion of Infinite Series Containing Modified Bessel Functions of the Second Kind
Guglielmo Fucci, Klaus Kirsten
The aim of this work is to analyze general infinite sums containing modified Bessel functions of the second kind. In particular we present a method for the construction of a proper…
Heat Kernel Asymptotic Expansion on Unbounded Domains with Polynomially Confining Potentials
Guglielmo Fucci
In this paper we analyze the small-t asymptotic expansion of the trace of the heat kernel associated with a Laplace operator endowed with a spherically symmetric polynomially confi…