The Q-Operator for the Quantum NLS Model


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Abstract

In this paper, we show that an operator introduced by A. A. Tsvetkov enjoys all the necessary properties of a Q-operator. It is shown that the Q-operator of the XXX spin chain with spin ℓ turns into Tsvetkov’s operator in the continuous limit as ℓ→∞. Bibliography: 18 titles.

About the authors

N. M. Belousov

St. Petersburg Department of Steklov Institute of Mathematics

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

S. E. Derkachov

St. Petersburg Department of Steklov Institute of Mathematics

Email: belousovnikita.m@gmail.com
Russian Federation, St. Petersburg


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