57 citations · 226 across the 16 of their papers we have counts for
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Nonlocal Ghost Formalism for Quantum Gravity
Giampiero Esposito
The quantum theory of a free particle on a portion of two-dimensional Euclidean space bounded by a circle and subject to non-local boundary conditions gives rise to bulk and surfac…
Boundary-Value Problems for the Squared Laplace Operator
Giampiero Esposito
The squared Laplace operator acting on symmetric rank-two tensor fields is studied on a (flat) Riemannian manifold with smooth boundary. Symmetry of this fourth-order elliptic oper…
New Results in Heat-Kernel Asymptotics on Manifolds with Boundary
Giampiero Esposito
A review is presented of some recent progress in spectral geometry on manifolds with boundary: local boundary-value problems where the boundary operator includes the effect of tang…
Complex Parameters in Quantum Mechanics
Giampiero Esposito
The Schrodinger equation for stationary states in a central potential is studied in an arbitrary number of spatial dimensions, say q. After transformation into an equivalent equati…
Two-boundary problems in Euclidean quantum gravity
Giampiero Esposito, Alexander Yu. Kamenshchik
Recent work in the literature has studied a new set of local boundary conditions for the quantized gravitational field, where the spatial components of metric perturbations, and gh…
Casimir Effect in Problems with Spherical Symmetry: New Perspectives
Giampiero Esposito, Alexander Yu. Kamenshchik, Klaus Kirsten
Since the Maxwell theory of electromagnetic phenomena is a gauge theory, it is quite important to evaluate the zero-point energy of the quantized electromagnetic field by a careful…