Bethe's quantum numbers and rigged configurations

Bethe's quantum numbers and rigged configurations

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 model under the periodic boundary condition. Our method is based on the observation that the sums of Bethe's quant...

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Main Authors: Anatol N. Kirillov, Reiho Sakamoto
Format: Article
Language:English
Published: Elsevier 2016-04-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S055032131600064X
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spelling doaj-132d8df0e95d490b8a1e3f9495a4dd572020-11-24T22:37:31ZengElsevierNuclear Physics B0550-32131873-15622016-04-01905C35937210.1016/j.nuclphysb.2016.02.020Bethe's quantum numbers and rigged configurationsAnatol N. Kirillov0Reiho Sakamoto1Research Institute for Mathematical Sciences, Kyoto University, Sakyo-ku, Kyoto, 606-8502, JapanDepartment of Physics, Tokyo University of Science, Kagurazaka, Shinjuku, Tokyo, 162-8601, JapanWe 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 model under the periodic boundary condition. Our method is based on the observation that the sums of Bethe's quantum numbers within each string behave particularly nicely. We confirm our procedure for all solutions for length 12 chain (totally 923 solutions).http://www.sciencedirect.com/science/article/pii/S055032131600064X
collection DOAJ
language English
format Article
sources DOAJ
author Anatol N. Kirillov
Reiho Sakamoto
spellingShingle Anatol N. Kirillov
Reiho Sakamoto
Bethe's quantum numbers and rigged configurations
Nuclear Physics B
author_facet Anatol N. Kirillov
Reiho Sakamoto
author_sort Anatol N. Kirillov
title Bethe's quantum numbers and rigged configurations
title_short Bethe's quantum numbers and rigged configurations
title_full Bethe's quantum numbers and rigged configurations
title_fullStr Bethe's quantum numbers and rigged configurations
title_full_unstemmed Bethe's quantum numbers and rigged configurations
title_sort bethe's quantum numbers and rigged configurations
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2016-04-01
description 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 model under the periodic boundary condition. Our method is based on the observation that the sums of Bethe's quantum numbers within each string behave particularly nicely. We confirm our procedure for all solutions for length 12 chain (totally 923 solutions).
url http://www.sciencedirect.com/science/article/pii/S055032131600064X
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