Abstract
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 two-dimensional lattice Bose gas. The most remarkable feature of the model is that it allows the coordinate Bethe ansatz: the p-particles' wavefunction is the sum of plane waves. Consistency conditions is the set of 2p equations for p one-particle wave vectors. These 'Bethe ansatz' equations are the main result of this paper. The work was supported by the Australian Research Council
| Original language | English |
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| Pages (from-to) | 3035-3045 |
| Number of pages | 11 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 39 |
| Publication status | Published - 2006 |
| Externally published | Yes |