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7 papers · 2 filters
The Spectral Zeta Function for Laplace Operators on Warped Product Manifolds of the type
Guglielmo Fucci, Klaus Kirsten
In this work we study the spectral zeta function associated with the Laplace operator acting on scalar functions defined on a warped product of manifolds of the type $I\times_{f} N…
Spectral determinants and zeta functions of Schrödinger operators on metric graphs
J. M. Harrison, K. Kirsten, C. Texier
A derivation of the spectral determinant of the Schrödinger operator on a metric graph is presented where the local matching conditions at the vertices are of the general form clas…
Cyclicity in rank-one perturbation problems
Evgeny Abakumov, Constanze Liaw, Alexei Poltoratski
The property of cyclicity of a linear operator, or equivalently the property of simplicity of its spectrum, is an important spectral characteristic that appears in many problems of…
The Epsilon Expansion of Feynman Diagrams via Hypergeometric Functions and Differential Reduction
S. A. Yost, V. V. Bytev, M. Yu. Kalmykov +2
Higher-order diagrams required for radiative corrections to mixed electroweak and QCD processes at the LHC and anticipated future colliders will require numerically stable represen…
Heat Kernel Coefficients for Laplace Operators on the Spherical Suspension
Guglielmo Fucci, Klaus Kirsten
In this paper we compute the coefficients of the heat kernel asymptotic expansion for Laplace operators acting on scalar functions defined on the so called spherical suspension (or…
On the Hurwitz Zeta Function of Imaginary Second Argument
Guglielmo Fucci
In this work we exploit Jonquière's formula relating the Hurwitz zeta function to a linear combination of polylogarithmic functions in order to evaluate the real and imaginary part…
Quantum statistics on graphs
JM Harrison, JP Keating, JM Robbins
Quantum graphs are commonly used as models of complex quantum systems, for example molecules, networks of wires, and states of condensed matter. We consider quantum statistics for…