Tigran Hakobyan

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We construct the family of spin chain Hamiltonians, which have affine quantum group symmetry Uq ĝ. Their eigenvalues coincide with the eigenvalues of the usual spin chain Hamiltonians, but have the degeneracy of levels, corresponding to affine Uq ĝ. The space of states of these spin chains is formed by the tensor product of fully reducible representations(More)
Electron and phonon states in two different models of intentionally disordered superlattices are studied analytically as well as numerically. The localization length is calculated exactly and we found that it diverges for particular energies or frequencies, suggesting the existence of delocalized states for both electrons and phonons. Numerical calculations(More)
We give a simple geometric explanation for the similarity transformation mapping one-dimensional conformal mechanics to free-particle system. Namely, we show that this transformation corresponds to the inversion of the Klein model of Lobachevsky space (non-compact complex projective plane) fI CP 1 . We also extend this picture to the N = 2k superconformal(More)
We construct the family of spin chain hamiltonians, which have affine quantum group symmetry Uq ĝ. Their eigenvalues coincide with the eigenvalues of the usual spin chain hamiltonians, but have the degeneracy of levels, corresponding to affine Uq ĝ. The space of states of these spin chains is formed by the tensor product of fully reducible representations.(More)
We give a simple geometric explanation for the similarity transformation mapping one-dimensional conformal mechanics to free-particle system. Namely, we show that this transformation corresponds to the inversion of the Klein model of Lobachevsky space (non-compact complex projective plane) fI CP 1 . We also extend this picture to the N = 2k superconformal(More)