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math-ph2025
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…
math-ph2025
Degeneracies In a Weighted Sum of Two Squares
Ishan Vinayagam Ramesh, Maxim Olshanii
This work is an attempt to classify and quantify instances when a weighted sum of two squares of positive integers, , can be realized in more than one way. Our pr…