### Abstract

Original language | English |
---|---|

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 |

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### Cite this

*Journal of Physics A: Mathematical and General*,

*39*, 3035-3045.

}

*Journal of Physics A: Mathematical and General*, vol. 39, pp. 3035-3045.

**Ansatz of Hans Bethe for a two-dimensional Bose gas.** / Sergeev, Sergey.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Ansatz of Hans Bethe for a two-dimensional Bose gas

AU - Sergeev, Sergey

PY - 2006

Y1 - 2006

N2 - 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

AB - 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

M3 - Article

VL - 39

SP - 3035

EP - 3045

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 1751-8113

ER -