New Two-Dimensional Integrable Quantum Models from SUSY Intertwining

Details New Two-Dimensional Integrable Quantum Models from SUSY Intertwining New Two-Dimensional Integrable Quantum Models from SUSY Intertwining

2006-06-12

arxiv.org/abs/hep-th/0606103v1

J.Phys.A39:9297-9308,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1088/0305-4470/39/29/020

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.

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