Gupta–Bleuler Quantization of the Maxwell Field in Globally Hyperbolic Space-TimesAnnales Henri Poincaré - Tập 16 - Trang 1837-1868 - 2015
Felix Finster, Alexander Strohmaier
We give a complete framework for the Gupta–Bleuler quantization of the free
electromagnetic field on globally hyperbolic space-times. We describe
one-particle structures that give rise to states satisfying the microlocal
spectrum condition. The field algebras in the so-called Gupta–Bleuler
representations satisfy the time-slice axiom, and the corresponding vacuum
states satisfy the microlocal spec... hiện toàn bộ
Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant CurvatureAnnales Henri Poincaré - - 2021
Martin Kolb, Tobias Weich, Lasse L. Wolf
The kinetic Brownian motion on the sphere bundle of a Riemannian manifold
$$\mathbb {M}$$ is a stochastic process that models a random perturbation of the
geodesic flow. If $$\mathbb {M}$$ is an orientable compact constantly curved
surface, we show that in the limit of infinitely large perturbation the $$L^2$$
-spectrum of the infinitesimal generator of a time-rescaled version of the
process conv... hiện toàn bộ
Phase Space Reduction of Star Products on Cotangent BundlesAnnales Henri Poincaré - Tập 6 - Trang 485-552 - 2005
Niels Kowalzig, Nikolai Neumaier, Markus J. Pflaum
In this paper we construct star products on Marsden-Weinstein reduced spaces in
case both the original phase space and the reduced phase space are
(symplectomorphic to) cotangent bundles. Under the assumption that the original
cotangent bundle T*Q carries a symplectic structure of form $$\omega _{B_0 } =
\omega _0 + \pi *B_0 $$ with B0 a closed two-form on Q, is equipped by the
cotangent lift of a... hiện toàn bộ
A Volumetric Penrose Inequality for Conformally Flat ManifoldsAnnales Henri Poincaré - Tập 12 - Trang 67-76 - 2010
Fernando Schwartz
We consider asymptotically flat Riemannian manifolds with non-negative scalar
curvature that are conformal to $${\mathbb{R}^{n}{\setminus} \Omega, n\ge 3}$$ ,
and so that their boundary is a minimal hypersurface. (Here, $${\Omega\subset
\mathbb{R}^{n}}$$ is open bounded with smooth mean-convex boundary.) We prove
that the ADM mass of any such manifold is bounded below by
$${\frac{1}{2}\left(V/\bet... hiện toàn bộ
SU(2) and SU(1,1) Y-Maps in Loop Quantum GravityAnnales Henri Poincaré - Tập 21 - Trang 2411-2431 - 2020
Leonid Perlov
In this paper we first provide the proof of $$\hbox {SU}(2)$$ Y-Map convergence.
Then, by using $$\hbox {SU}(1,1)$$ LQG simplicity constraints, we define $$\hbox
{SU}(1,1)$$ Y-Map from infinitely differentiable with a compact support
functions on $$\hbox {SU}(1,1)$$ to the functions (not necessarily square
integrable) on $$\hbox {SL}(2,C)$$ , and prove its convergence as well.
Pure Point Dynamical and Diffraction SpectraAnnales Henri Poincaré - Tập 3 - Trang 1003-1018 - 2002
J.-Y. Lee, R. V. Moody, B. Solomyak
We show that for multi-colored Delone point sets with finite local complexity
and uniform cluster frequencies the notions of pure point diffraction and pure
point dynamical spectrum are equivalent.
Localization of Generalized Wannier Bases Implies Chern Triviality in Non-periodic InsulatorsAnnales Henri Poincaré - Tập 24 - Trang 895-930 - 2022
Giovanna Marcelli, Massimo Moscolari, Gianluca Panati
We investigate the relation between the localization of generalized Wannier
bases and the topological properties of two-dimensional gapped quantum systems
of independent electrons in a disordered background, including magnetic fields,
as in the case of Chern insulators and quantum Hall systems. We prove that the
existence of a well-localized generalized Wannier basis for the Fermi projection
impli... hiện toàn bộ
Relation Between Regge Calculus and BF Theory on Manifolds with DefectsAnnales Henri Poincaré - Tập 20 - Trang 1403-1437 - 2018
Marcin Kisielowski
In Regge calculus, the space–time manifold is approximated by certain abstract
simplicial complex, called a pseudomanifold, and the metric is approximated by
an assignment of a length to each 1-simplex. In this paper for each
pseudomanifold, we construct a smooth manifold which we call a manifold with
defects. This manifold emerges from the purely combinatorial simplicial complex
as a result of gl... hiện toàn bộ