# On quantum integrability of the Landau-Lifshitz model

@article{Melikyan2008OnQI,
title={On quantum integrability of the Landau-Lifshitz model},
author={Ashot Melikyan and A. Pinzul},
journal={Journal of Mathematical Physics},
year={2008},
volume={50},
pages={103518}
}
• Published 1 December 2008
• Physics
• Journal of Mathematical Physics
We investigate the quantum integrability of the Landau–Lifshitz (LL) model and solve the long-standing problem of finding the local quantum Hamiltonian for the arbitrary n-particle sector. The particular difficulty of the LL model quantization, which arises due to the ill-defined operator product, is dealt with by simultaneously regularizing the operator product and constructing the self-adjoint extensions of a very particular structure. The diagonalizibility difficulties of the Hamiltonian of…
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