Q-operators for the open Heisenberg spin chain

@article{Frassek2015QoperatorsFT,
  title={Q-operators for the open Heisenberg spin chain},
  author={Rouven Frassek and Istv{\'a}n M. Sz{\'e}cs{\'e}nyi},
  journal={Nuclear Physics},
  year={2015},
  volume={901},
  pages={229-248}
}
Abstract We construct Q-operators for the open spin- 1 2 XXX Heisenberg spin chain with diagonal boundary matrices. The Q-operators are defined as traces over an infinite-dimensional auxiliary space involving novel types of reflection operators derived from the boundary Yang–Baxter equation. We argue that the Q-operators defined in this way are polynomials in the spectral parameter and show that they commute with transfer matrix. Finally, we prove that the Q-operators satisfy Baxter's TQ… Expand

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