11,288 research outputs found
Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data
In this work we study regularity properties of solutions to fractional
elliptic problems with mixed Dirichlet-Neumann boundary data when dealing with
the Spectral Fractional Laplacian
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Semiconductor cavity QED: Bandgap induced by vacuum fluctuations
We consider theoretically a semiconductor nanostructure embedded in
one-dimensional microcavity and study the modification of its electron energy
spectrum by the vacuum fluctuations of the electromagnetic field. To solve the
problem, a non-perturbative diagrammatic approach based on the Green's function
formalism is developed. It is shown that the interaction of the system with the
vacuum fluctuations of the optical cavity opens gaps within the valence band of
the semiconductor. The approach is verified for the case of large photon
occupation numbers, proving the validity of the model by comparing to previous
studies of the semiconductor system excited by a classical electromagnetic
field. The developed theory is of general character and allows for unification
of quantum and classical descriptions of the strong light-matter interaction in
semiconductor structures
Finite-volume matrix elements of two-body states
In this talk, we present a framework for studying structural information of
resonances and bound states coupling to two-hadron scattering states. This
makes use of a recently proposed finite-volume formalism to determine a class
of observables that are experimentally inaccessible but can be accessed via
lattice QCD. In particular, we shown that finite-volume two-body matrix
elements with one current insertion can be directly related to scattering
amplitudes coupling to the external current. For two-hadron systems with
resonances or bound states, one can extract the corresponding form factors of
these from the energy-dependence of the amplitudes.Comment: 7 pages, 2 figures, Proceedings of Lattice 201
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