111 citations · 191 across the 15 of their papers we have counts for
16 papers
Diffraction induced quantum chaos in a one-dimensional Bose gas
M. Olshanii, G. Aupetit-Diallo, S. G. Jackson +2
We investigate the Lieb--Liniger model of interacting one-dimensional bosons coupled to a localized impurity, modeled by a delta barrier. While the Lieb--Liniger gas is integrable,…
Exact Solution for Two -Interacting Bosons on a Ring in the Presence of a -Barrier: Asymmetric Bethe Ansatz for Spatially Odd States
Maxim Olshanii, Mathias Albert, Gianni Aupetit-Diallo +2
In this article, we apply the recently proposed Asymmetric Bethe Ansatz method to the problem of two one-dimensional, short-range-interacting bosons on a ring in the presence of a…
Asymmetric Bethe Ansatz
Steven G. Jackson, Hélène Perrin, Gregory E. Astrakharchik +1
The recently proposed exact quantum solution for two -function-interacting particles with a mass-ratio in a hard-wall box [Y. Liu, F. Qi, Y. Zhang and S. Chen, iScienc…
Four-dimensional reflection groups and electrostatics
Maxim Olshanii, Yuri Styrkas, Dmitry Yampolsky +2
We present a new class of electrostatics problems that are exactly solvable by adding finitely many image charges. Given a charge at some location inside a cavity bounded by up to…
Tau Signatures and Characters of Weyl Groups
Thomas Folz-Donahue, Steven Glenn Jackson, Todor Milev +1
Let be the set of real points of a complex linear reductive group and its classes of irreducible admissible representations with infinitesimal integral r…
The dynamics of digits: Calculating pi with Galperin's billiards
X. M. Aretxabaleta, M. Gonchenko, N. L. Harshman +3
In Galperin billiards, two balls colliding with a hard wall form an analog calculator for the digits of the number . This classical, one-dimensional three-body system (counting…