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6 papers · 1 filter
Grassmann-Gaussian integrals and generalized star products
Sh. Khachatryan, R. Schrader, A. Sedrakyan
In quantum scattering on networks there is a non-linear composition rule for on-shell scattering matrices which serves as a replacement for the multiplicative rule of transfer matr…
Solutions to the Yang-Baxter equations with symmetry: Lax operators
D. Karakhanyan, Sh. Khachatryan
We find a new solution to the -invariant Yang-Baxter equation with simple dependence on the spectral parameter and propose matrix expressions for…
Anisotropic inharmonic Higgs oscillator and related (MICZ-)Kepler-like systems
Armen Nersessian, Vahagn Yeghikyan
We propose the integrable (pseudo)spherical generalization of the four-dimensional anisotropic oscillator with additional nonlinear potential. Performing its Kustaanheimo-Stiefel t…
Multi-center MICZ-Kepler systems
Armen Nersessian, Vadim Ohanyan
We present the classical solutions of the two-center MICZ-Kepler and MICZ-Kepler-Stark systems. Then we suggest the model of multi-center MICZ-Kepler system on the curved spaces eq…
Fusion Rules of the Lowest Weight Representations of osp_q(1|2) at Roots of Unity: Polynomial Realization and Degeneration at Roots of Unity
D. Karakhanyan, Sh. Khachatryan
The degeneracy of the lowest weight representations of the quantum superalgebra and their tensor products at exceptional values of %when deformation parameter take…
Perturbative test of single parameter scaling for 1D random media
R. Schrader, H. Schulz-Baldes, A. Sedrakyan
Products of random matrices associated to one-dimensional random media satisfy a central limit theorem assuring convergence to a gaussian centered at the Lyapunov exponent. The hyp…