The Time-Evolution of States in Quantum Mechanics according to the ETH-Approach [0.03%]
量子力学中ETH方法下的状态时间演化问题研究
Jürg Fröhlich,Alessandro Pizzo
Jürg Fröhlich
It is argued that the Schrödinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated physical systems featuring events. A general statistical law replacing unitary Schrödinger evol...
Local Well-Posedness of Skew Mean Curvature Flow for Small Data in [Formula: see text] Dimensions [0.03%]
高维情形下小初值的斜平均曲率流的局部适定性问题
Jiaxi Huang,Daniel Tataru
Jiaxi Huang
The skew mean curvature flow is an evolution equation for d dimensional manifolds embedded in R d + 2 (or more generally, in a Riemannian manifold). It can be viewed as a Schrödinger analogue of the mean curvature flow, or alternatively...
Quantum Walks: Schur Functions Meet Symmetry Protected Topological Phases [0.03%]
量子漫步：施尔函数与对称受保护拓扑相的相遇
C Cedzich,T Geib,F A Grünbaum et al.
C Cedzich et al.
This paper uncovers and exploits a link between a central object in harmonic analysis, the so-called Schur functions, and the very hot topic of symmetry protected topological phases of quantum matter. This connection is found in the setting...
Zeév Rudnick,Igor Wigman,Nadav Yesha
Zeév Rudnick
Let Ω ⊂ R 2 be a bounded planar domain, with piecewise smooth boundary ∂ Ω . For σ > 0 , we consider the Robin boundary value problem - Δ f = λ f , ∂ f ∂ n + σ f = 0 on ͦ...
Melchior Wirth,Haonan Zhang
Melchior Wirth
In this article we introduce a complete gradient estimate for symmetric quantum Markov semigroups on von Neumann algebras equipped with a normal faithful tracial state, which implies semi-convexity of the entropy with respect to the recentl...
Vincenzo Morinelli,Gerardo Morsella,Alexander Stottmeister et al.
Vincenzo Morinelli et al.
We present a rigorous renormalization group scheme for lattice quantum field theories in terms of operator algebras. The renormalization group is considered as an inductive system of scaling maps between lattice field algebras. We construct...
Thomas Kappeler,Riccardo Montalto
Thomas Kappeler
In this paper we obtain the following stability result for periodic multi-solitons of the KdV equation: We prove that under any given semilinear Hamiltonian perturbation of small size ε > 0 , a large class of periodic multi-solitons o...
Philippe Faist,Mario Berta,Fernando G S L Brandao
Philippe Faist
Recent understanding of the thermodynamics of small-scale systems have enabled the characterization of the thermodynamic requirements of implementing quantum processes for fixed input states. Here, we extend these results to construct optim...
Alessandro Giuliani,Vieri Mastropietro,Marcello Porta
Alessandro Giuliani
Weyl semimetals are 3D condensed matter systems characterized by a degenerate Fermi surface, consisting of a pair of 'Weyl nodes'. Correspondingly, in the infrared limit, these systems behave effectively as Weyl fermions in 3 + 1 dimension...
Higher Order Large Gap Asymptotics at the Hard Edge for Muttalib-Borodin Ensembles [0.03%]
Muttalib-Borodin系在硬边处大间隔高阶渐进行为
Christophe Charlier,Jonatan Lenells,Julian Mauersberger
Christophe Charlier
We consider the limiting process that arises at the hard edge of Muttalib-Borodin ensembles. This point process depends on θ > 0 and has a kernel built out of Wright's generalized Bessel functions. In a recent paper, Claeys, Girotti a...