Annales Henri Poincaré

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Gupta–Bleuler Quantization of the Maxwell Field in Globally Hyperbolic Space-Times
Annales 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 Curvature
Annales 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 o...... hiện toàn bộ
A Nonrelativistic Quantum Field Theory with Point Interactions in Three Dimensions
Annales Henri Poincaré - - 2019
Jonas Lampart
Phase Space Reduction of Star Products on Cotangent Bundles
Annales 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 $$\omega _{B_0 } = \omega _0 + \pi ...... hiện toàn bộ
A Volumetric Penrose Inequality for Conformally Flat Manifolds
Annales Henri Poincaré - Tập 12 - Trang 67-76 - 2010
Fernando Schwartz
We consider asymptotically flat Riemannian manifolds with non-negative scalar curvature that are conformal to $${\mathbb{R}^{n}{\setminus} \Omega, n\ge 3}$$ , and so that their boundary is a minimal hypersurface. (Here, $${\Omeg...... hiện toàn bộ
Localization of Generalized Wannier Bases Implies Chern Triviality in Non-periodic Insulators
Annales 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
Derivation of the Linear Boltzmann Equation from the Damped Quantum Lorentz Gas with a General Scatterer Configuration
Annales Henri Poincaré - Tập 24 - Trang 843-869 - 2022
Jory Griffin
It is a fundamental problem in mathematical physics to derive macroscopic transport equations from microscopic models. In this paper, we derive the linear Boltzmann equation in the low-density limit of a damped quantum Lorentz gas for a large class of deterministic and random scatterer configurations. Previously this result was known only for the single-scatterer problem on the flat torus, and for...... hiện toàn bộ
Derivation of an Ornstein–Uhlenbeck Process for a Massive Particle in a Rarified Gas of Particles
Annales Henri Poincaré - - 2018
Thierry Bodineau, Isabelle Gallagher, Laure Saint‐Raymond
On Quantum Percolation in Finite Regular Graphs
Annales Henri Poincaré - Tập 16 - Trang 2465-2497 - 2014
Charles Bordenave
The aim of this paper is twofold. First, we study eigenvalues and eigenvectors of the adjacency matrix of a bond percolation graph when the base graph is finite and well approximated locally by an infinite regular graph. We relate quantitatively the empirical measure of the eigenvalues and the delocalization of the eigenvectors to the spectrum of the adjacency operator of the percolation on the in...... hiện toàn bộ
Bounding Horizon Area by Angular Momentum, Charge, and Cosmological Constant in 5-Dimensional Minimal Supergravity
Annales Henri Poincaré - Tập 20 - Trang 481-525 - 2018
Aghil Alaee, Marcus Khuri, Hari Kunduri
We establish a class of area–angular momentum–charge inequalities satisfied by stable marginally outer trapped surfaces in 5-dimensional minimal supergravity which admit a $$U(1)^2$$ symmetry. A novel feature is the fact that such surfaces can ha...... hiện toàn bộ
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