Zobrazeno 1 - 10
of 158
pro vyhledávání: '"Charles Laurent"'
Autor:
Charles, Laurent
We introduce a new class of pseudodifferential operators, called Heisenberg semiclassical pseudodifferential operators, to study the space of sections of a power of a line bundle on a compact manifold, in the limit where the power is large. This clas
Externí odkaz:
http://arxiv.org/abs/2309.04955
Autor:
Charles, Laurent
Publikováno v:
Analysis & PDE 17 (2024) 1907-1952
We consider a compact Riemannian manifold with a Hermitian line bundle whose curvature is non degenerate. Under a general condition, the Laplacian acting on high tensor powers of the bundle exhibits gaps and clusters of eigenvalues. We prove that for
Externí odkaz:
http://arxiv.org/abs/2109.05508
Autor:
Charles, Laurent
We consider a magnetic Laplacian on a compact manifold, with a constant non-degenerate magnetic field. In the large field limit, it is known that the eigenvalues are grouped in clusters, the corresponding sums of eigenspaces being called the Landau l
Externí odkaz:
http://arxiv.org/abs/2012.14190
Autor:
Charles, Laurent, Polterovich, Leonid
We show that for a special class of geometric quantizations with "small" quantum errors, the quantum classical correspondence gives rise to an asymptotic projective representation of the group of Hamiltonian diffeomorphisms. As an application, we get
Externí odkaz:
http://arxiv.org/abs/2009.05856
Autor:
Charles, Laurent, Floch, Yohann Le
We describe the asymptotic behaviour of the quantum propagator generated by a Berezin-Toeplitz operator with real-valued principal symbol. We also give precise asymptotics for smoothed spectral projectors associated with the operator in the autonomou
Externí odkaz:
http://arxiv.org/abs/2009.05279
Autor:
Charles, Laurent
We introduce new tools for analytic microlocal analysis on K\"ahler manifolds. As an application, we prove that the space of Berezin-Toeplitz operators with analytic contravariant symbol is an algebra. We also give a short proof of the Bergman kernel
Externí odkaz:
http://arxiv.org/abs/1912.06819
Autor:
Charles, Laurent
In the setting of geometric quantization, we associate to any prequantum bundle automorphism a unitary map of the corresponding quantum space. These maps are controlled in the semiclassical limit by two invariants of symplectic topology: the Calabi m
Externí odkaz:
http://arxiv.org/abs/1910.05073
Autor:
Charles, Laurent, Polterovich, Leonid
We discuss a link between symplectic displacement energy, a fundamental notion of symplectic topology, and the quantum speed limit, a universal constraint on the speed of quantum-mechanical processes. The link is provided by the quantum-classical cor
Externí odkaz:
http://arxiv.org/abs/1609.05395
Autor:
Charles, Laurent
We give a new proof of Witten asymptotic conjecture for Seifert manifolds with non vanishing Euler class and one exceptional fiber. Our method is based on semiclassical analysis on a two dimensional phase space torus. We prove that the Witten-Resheti
Externí odkaz:
http://arxiv.org/abs/1605.04124
Publikováno v:
Peer Community Journal, Vol 2, Iss , Pp - (2022)
Personal ornaments manufactured on marine and fossil shell are a significant element of Upper Palaeolithic symbolic material culture, and are often found at considerable distances from Pleistocene coastlines or relevant fossil deposits. Here, we repo
Externí odkaz:
https://doaj.org/article/e667cac472154f2b9ed4957ede08def4
