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


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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.

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N. Bogoliubov

St. Petersburg Department of Steklov Institute of Mathematics

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Email: nmbogoliubov@gmail.com
俄罗斯联邦, St. Petersburg

C. Malyshev

St. Petersburg Department of Steklov Institute of Mathematics

Email: nmbogoliubov@gmail.com
俄罗斯联邦, St. Petersburg

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