Email this article The Ground-State Vector of the XY Heisenberg Chain and the Gauss Decomposition
- Authors: Bogoliubov N.1, Malyshev C.1
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Affiliations:
- St. Petersburg Department of Steklov Institute of Mathematics
- Issue: Vol 242, No 5 (2019)
- Pages: 628-635
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/243009
- DOI: https://doi.org/10.1007/s10958-019-04501-9
- ID: 243009
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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
St. Petersburg Department of Steklov Institute of Mathematics
Email: nmbogoliubov@gmail.com
Russian Federation, St. Petersburg
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