Marcello Porta,Harman Preet Singh
Marcello Porta
We consider the transport properties of non-interacting, gapless one-dimensional quantum systems and of the edge modes of two-dimensional topological insulators, in the presence of time-dependent perturbations. We prove the validity of Kubo...
Medet Nursultanov,Lauri Oksanen,Plamen Stefanov
Medet Nursultanov
We study the inverse backscattering problem for time-dependent potentials. We prove uniqueness and Lipschitz stability for the recovery of small potentials. ...
A S Cattaneo,N Moshayedi,A Smailovic Funcasta
A S Cattaneo
Three-dimensional supergravity in the Batalin-Vilkovisky formalism is constructed by showing that the theory including the Rarita-Schwinger term is equivalent to an AKSZ theory. ...
Jeroen S W Lamb,Giuseppe Tenaglia,Dmitry Turaev
Jeroen S W Lamb
We propose a notion of random horseshoe for one-dimensional random dynamical systems with non-uniform expansion, and we provide sufficient conditions that guarantee their abundant existence, which is shown to hold for a class of non-uniform...
Negative Eigenvalue Estimates for the 1D Schrödinger Operator with Measure-Potential [0.03%]
带测度位势的一维Schrödinger算子的负特征值估计
Robert Fulsche,Medet Nursultanov,Grigori Rozenblum
Robert Fulsche
We investigate the negative part of the spectrum of the operator - ∂ 2 - μ on L 2 ( R ) , where a locally finite Radon measure μ ≥ 0 serves as a potential. We obtain estimates for the eigenvalue counting function,...
Boundedness of the Fifth Derivative for the One-Particle Coulombic Density Matrix at the Diagonal [0.03%]
一粒子库仑密度矩阵对角线第五导数的有界性上限研究
Peter Hearnshaw
Peter Hearnshaw
Boundedness is demonstrated for the fifth derivative of the one-particle reduced density matrix for non-relativistic Coulombic wavefunctions in the vicinity of the diagonal. To prove this result, improved pointwise bounds are obtained for c...
Hamiltonian Formulation and Aspects of Integrability of Generalised Hydrodynamics [0.03%]
广义流体动力学的哈密顿表述及其可积性问题
Thibault Bonnemain,Vincent Caudrelier,Benjamin Doyon
Thibault Bonnemain
Generalised hydrodynamics (GHD) describes the large-scale inhomogeneous dynamics of integrable (or close to integrable) systems in one dimension of space, based on a central equation for the fluid density or quasi-particle density: the GHD ...
Lionor M A Kehrberger
Lionor M A Kehrberger
This paper initiates a series of works dedicated to the rigorous study of the precise structure of gravitational radiation near infinity. We begin with a brief review of an argument due to Christodoulou (in: The Ninth Marcel Grossmann Meeti...
Ioana Coman,Pietro Longhi,Jörg Teschner
Ioana Coman
We propose a geometric characterisation of the topological string partition functions associated with the local Calabi-Yau (CY) manifolds used in the geometric engineering of d = 4 , N = 2 supersymmetric field theories of class S . A quan...
Melanie Graf,Eleni-Alexandra Kontou,Argam Ohanyan et al.
Melanie Graf et al.
The classical singularity theorems of R. Penrose and S. Hawking from the 1960s show that, given a pointwise energy condition (and some causality as well as initial assumptions), spacetimes cannot be geodesically complete. Despite their grea...