New Two-Dimensional Integrable Quantum Models from SUSY Intertwining

M. V. Ioffe; J. Negro; L. M. Nieto; D. N. Nishnianidze

doi:10.1088/0305-4470/39/29/020

New Two-Dimensional Integrable Quantum Models from SUSY Intertwining

高能物理 - 理论 2009-11-11 v1 数学物理 math.MP 量子物理

作者: M. V. Ioffe , J. Negro , L. M. Nieto , D. N. Nishnianidze

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摘要

Supersymmetrical intertwining relations of second order in the derivatives are investigated for the case of supercharges with deformed hyperbolic metric $g_{ik}=diag(1,-a^2)$ . Several classes of particular solutions of these relations are found. The corresponding Hamiltonians do not allow the conventional separation of variables, but they commute with symmetry operators of fourth order in momenta. For some of these models the specific SUSY procedure of separation of variables is applied.

关键词

supersymmetry supersymmetry breaking integrable hamiltonian systems

引用

@article{arxiv.hep-th/0606103,
  title  = {New Two-Dimensional Integrable Quantum Models from SUSY Intertwining},
  author = {M. V. Ioffe and J. Negro and L. M. Nieto and D. N. Nishnianidze},
  journal= {arXiv preprint arXiv:hep-th/0606103},
  year   = {2009}
}

备注

18 pages

New Two-Dimensional Integrable Quantum Models from SUSY Intertwining

摘要

关键词

引用

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