Douglas Lundholm,Robert Seiringer
Douglas Lundholm
We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter α . The lower bounds extend to ...
Ruben Stienstra,Walter D van Suijlekom
Ruben Stienstra
We give an operator-algebraic interpretation of the notion of an ideal generated by the unbounded operators associated with the elements of the Lie algebra of a Lie group that implements the symmetries of a quantum system. We use this inter...
Normal forms of dispersive scalar Poisson brackets with two independent variables [0.03%]
两个自变量的色散标量泊松张量的规范形
Guido Carlet,Matteo Casati,Sergey Shadrin
Guido Carlet
We classify the dispersive Poisson brackets with one dependent variable and two independent variables, with leading order of hydrodynamic type, up to Miura transformations. We show that, in contrast to the case of a single independent varia...
P Exner,S Kondej
P Exner
We consider a class of two-dimensional Schrödinger operator with a singular interaction of the δ type and a fixed strength β supported by an infinite family of concentric, equidistantly spaced circles, and discuss what happens be...
A noncommutative catenoid [0.03%]
非交换猫烯曲线
Joakim Arnlind,Christoffer Holm
Joakim Arnlind
A noncommutative algebra corresponding to the classical catenoid is introduced together with a differential calculus of derivations. We prove that there exists a unique metric and torsion-free connection that is compatible with the complex ...
Joe P Chen,Alexander Teplyaev,Konstantinos Tsougkas
Joe P Chen
We study the spectral zeta functions of the Laplacian on fractal sets which are locally self-similar fractafolds, in the sense of Strichartz. These functions are known to meromorphically extend to the entire complex plane, and the locations...
A Mudrov
A Mudrov
We construct a [Formula: see text]-equivariant local star product on the complex sphere [Formula: see text] as a non-Levi conjugacy class [Formula: see text]. ...
Jock McOrist
Jock McOrist
The effective field theory of heterotic vacua that realise [Formula: see text] preserving [Formula: see text] supersymmetry is studied. The vacua in question admit large radius limits taking the form [Formula: see text], with [Formula: see ...
Calum Ross,Bernd J Schroers
Calum Ross
We exhibit a close relation between vortex configurations on the 2-sphere and magnetic zero-modes of the Dirac operator on [Formula: see text] which obey an additional nonlinear equation. We show that both are best understood in terms of th...
Andrew N W Hone,Vladimir Novikov,Jing Ping Wang
Andrew N W Hone
We classify integrable scalar polynomial partial differential equations of second order generalizing the short pulse equation. ...