Lucas Buzaglo,Xiao He,Tuan Anh Pham et al.
Lucas Buzaglo et al.
We initiate the mathematical study of the boundary Carrollian conformal algebra (BCCA), an infinite-dimensional Lie algebra recently discovered in the context of Carrollian physics. The BCCA is an intriguing object from both physical and ma...
Leonardo García-Heveling
Leonardo García-Heveling
In a previous work, the regular cosmological volume function τ V was introduced as an alternative to the regular cosmological time function of Andersson, Galloway, and Howard. Building on work by Chruściel, Grant and Minguzzi, in thi...
Ground state energy of a dilute Bose gas with three-body hard-core interactions [0.03%]
具有三体硬核相互作用的稀薄玻色气体基态能量
Lukas Junge,François L A Visconti
Lukas Junge
We consider a gas of bosons interacting through a three-body hard-core potential in the thermodynamic limit. We derive an upper bound on the ground state energy of the system at the leading order using a Jastrow factor. Our result matches t...
Approximation of magnetic Schrödinger operators with [Formula: see text] -interactions supported on networks [0.03%]
具有-[Formula: see text]相互作用的网络上磁Schrödinger算子的逼近
Markus Holzmann
Markus Holzmann
This paper deals with the approximation of a magnetic Schrödinger operator with a singular δ -potential that is formally given by ( i ∇ + A ) 2 + Q + α δ Σ by Schrödinger operators with regular potentials in ...
Pavel Exner,Léo Morin
Pavel Exner
We investigate a two-dimensional magnetic Laplacian with two radially symmetric magnetic wells. Its spectral properties are determined by the tunneling between them. If the tunneling is weak and the wells are mirror symmetric, the two lowes...
Shifted Poisson structures on higher Chevalley-Eilenberg algebras [0.03%]
高阶Chevalley-Eilenberg代数上的移位Poisson结构
Cameron Kemp,Robert Laugwitz,Alexander Schenkel
Cameron Kemp
This paper develops a graphical calculus to determine the n-shifted Poisson structures on finitely generated semi-free commutative differential graded algebras. When applied to the Chevalley-Eilenberg algebra of an ordinary Lie algebra, we ...
Normal typicality and dynamical typicality for a random block-band matrix model [0.03%]
随机块带矩阵模型的正常典型性和动力学典型性
László Erdős,Joscha Henheik,Cornelia Vogel
László Erdős
We prove normal typicality and dynamical typicality for a (centered) random block-band matrix model with block-dependent variances. A key feature of our model is that we achieve intermediate equilibration times, an aspect that has not been ...
Evgeny V Ferapontov,Mats Vermeeren
Evgeny V Ferapontov
We demonstrate that interesting examples of Lagrangian multiforms appear naturally in the theory of multidimensional dispersionless integrable systems as (a) higher-order conservation laws of linearly degenerate PDEs in 3D, and (b) in the c...
Andreas Deuchert,Phan Thành Nam,Marcin Napiórkowski
Andreas Deuchert
We consider the homogeneous Bose gas in the three-dimensional unit torus, where N particles interact via a two-body potential of the form N - 1 v ( x ) . The system is studied at inverse temperatures of order N - 2 / 3 , which corresp...
Exponential control of excitations for trapped BEC in the Gross-Pitaevskii regime [0.03%]
trap Bose-Einstein凝聚体在Gross-Pitaevskii制下的激发指数控制
Nils Behrmann,Christian Brennecke,Simone Rademacher
Nils Behrmann
We consider trapped Bose gases in three dimensions in the Gross-Pitaevskii regime whose low energy states are well known to exhibit Bose-Einstein condensation. That is, the majority of the particles occupies the same condensate state. We pr...