Zobrazeno 1 - 10
of 546
pro vyhledávání: '"A Faupin"'
We study effective models describing systems of quantum particles interacting with quantized (electromagnetic) fields in the quasi-classical regime, i.e., when the field's state shows a large average number of excitations. Once the field's degrees of
Externí odkaz:
http://arxiv.org/abs/2407.18600
We study the number $N_{<0}(H_s)$ of negative eigenvalues, counting multiplicities, of the fractional Schr\"odinger operator $H_s=(-\Delta)^s-V(x)$ on $L^2(\mathbb{R}^d)$, for any $d\ge1$ and $s\ge d/2$. We prove a bound on $N_{<0}(H_s)$ which depend
Externí odkaz:
http://arxiv.org/abs/2405.01903
Autor:
Breteaux, Sébastien, Faupin, Jérémy, Lemm, Marius, Yang, Dong Hao Ou, Sigal, Israel Michael, Zhang, Jingxuan
We consider Markovian open quantum dynamics (MOQD). We show that, up to small-probability tails, the supports of quantum states evolving under such dynamics propagate with finite speed in any finite-energy subspace. More precisely, we prove that if t
Externí odkaz:
http://arxiv.org/abs/2303.08921
We prove maximal speed estimates for nonlinear quantum propagation in the context of the Hartree equation. More precisely, under some regularity and integrability assumptions on the pair (convolution) potential, we construct a set of energy and space
Externí odkaz:
http://arxiv.org/abs/2302.10519
We consider a non-relativistic electron bound by an external potential and coupled to the quantized electromagnetic field in the standard model of non-relativistic QED. We compute the energy functional of product states of the form $u\otimes \Psi_f$,
Externí odkaz:
http://arxiv.org/abs/2210.03448
Publikováno v:
Biomechanics, Vol 4, Iss 2, Pp 219-234 (2024)
This narrative review aims to provide a comprehensive overview of the scientific literature on wheelchair badminton and its distinctive aspects, encompassing abilities and disabilities, propulsion technique, and the use of a racket. The relatively yo
Externí odkaz:
https://doaj.org/article/6b684d1fb7e5423bbbcc43ac94b52add
Publikováno v:
The Physics and Mathematics of Elliott Lieb. The 90th Anniversary Volume I. R.L. Frank, A. Laptev, M. Lewin and R. Seiringer (eds.) EMS Press. (2022)
We prove a maximal velocity bound for the dynamics of Markovian open quantum systems. The dynamics are described by one-parameter semi-groups of quantum channels satisfying the von Neumann-Lindblad equation. Our result says that dynamically evolving
Externí odkaz:
http://arxiv.org/abs/2207.08991
We consider a spinless, non-relativistic particle bound by an external potential and linearly coupled to a quantized radiation field. The energy $\mathcal{E}(u,f)$ of product states of the form $u\otimes \Psi_f$, where $u$ is a normalized state for t
Externí odkaz:
http://arxiv.org/abs/2207.06053
Autor:
Faupin, Jérémy, Frantz, Nicolas
We consider non-self-adjoint operators in Hilbert spaces of the form $H=H_0+CWC$, where $H_0$ is self-adjoint, $W$ is bounded and $C$ is a metric operator, $C$ bounded and relatively compact with respect to $H_0$. We suppose that $C(H_0-z)^{-1}C$ is
Externí odkaz:
http://arxiv.org/abs/2203.12406
Autor:
Mathieu Deves, Christophe Sauret, Ilona Alberca, Lorian Honnorat, Yoann Poulet, Arnaud Hays, Arnaud Faupin
Publikováno v:
Methods and Protocols, Vol 7, Iss 5, p 84 (2024)
Background: Monitoring player mobility in wheelchair sports is crucial for helping coaches understand activity dynamics and optimize training programs. However, the lack of data from monitoring tools, combined with a lack of standardized processing a
Externí odkaz:
https://doaj.org/article/bc0de48357b44df8a72c0c372ffa7919