The method of q-oscillator lattices, proposed recently in Bazhanov and Sergeev 2005 (Preprint hep-th/0509181), provides the tool for a construction of various integrable models of quantum mechanics in (2 + 1)-dimensional spacetime. In contrast to any one-dimensional quantum chain, its two-dimensional generalizations - quantum lattices - admit different geometrical structures. In this paper, we consider the q-oscillator model on a special lattice. The model may be interpreted as a...[Show more]
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