65 citations · 330 across the 28 of their papers we have counts for
28 papers
Invitation to the Bethe ansatz
Reiho Sakamoto
We review the algebraic Bethe ansatz for the Heisenberg model. The exposition includes some of recent advancements with emphasis on a relation with the rigged configurations. We al…
Type rigged configuration bijection
Masato Okado, Reiho Sakamoto, Anne Schilling +1
We establish a bijection between the set of rigged configurations and the set of tensor products of Kirillov--Reshetikhin crystals of type in full generality. We prove…
Bethe's Quantum Numbers And Rigged Configurations
Anatol N. Kirillov, Reiho Sakamoto
We propose a method to determine the quantum numbers, which we call the rigged configurations, for the solutions to the Bethe ansatz equations for the spin-1/2 isotropic Heisenberg…
Rigged Configurations Approach For The Spin-1/2 Isotropic Heisenberg Model
Reiho Sakamoto
We continue the rigged configurations analysis of the solutions to the Bethe ansatz equations for the spin-1/2 isotropic Heisenberg model. We analyze the non self-conjugate strings…
Rigged Configurations and Cylindric Loop Schur Functions
Thomas Lam, Pavlo Pylyavskyy, Reiho Sakamoto
Rigged configurations are known to provide action-angle variables for remarkable discrete dynamical systems known as box-ball systems. We conjecture an explicit piecewise-linear fo…
Some Remarks On Nepomechie--Wang Eigenstates For Spin 1/2 XXX Model
Anatol N. Kirillov, Reiho Sakamoto
We compute the energy eigenvalues of Nepomechie--Wang's eigenstates for the spin 1/2 isotropic Heisenberg chain.