The Ground-State Vector of the  XY  Heisenberg Chain and the Gauss Decomposition

N. Bogoliubov; C. Malyshev

doi:10.1007/s10958-019-04501-9

The Ground-State Vector of the XY Heisenberg Chain and the Gauss Decomposition

Authors: Bogoliubov N.¹, Malyshev C.¹
Affiliations:
1. St. Petersburg Department of Steklov Institute of Mathematics
Issue: Vol 242, No 5 (2019)
Pages: 628-635
Section: Article
URL: https://journals.rcsi.science/1072-3374/article/view/243009
DOI: https://doi.org/10.1007/s10958-019-04501-9
ID: 243009

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Abstract
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Abstract

We consider the XY Heisenberg spin \( \frac{1}{2} \) chain in the fermion representation. The construction of the ground-state vector is based on the group-theoretical approach. An exact expression for the ground-state vector will allow one to study the combinatorics of the correlation functions of the model.

About the authors

N. Bogoliubov

St. Petersburg Department of Steklov Institute of Mathematics

Author for correspondence.
Email: nmbogoliubov@gmail.com
Russian Federation, St. Petersburg

C. Malyshev