79 citations · 481 across the 29 of their papers we have counts for
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math-ph2008★ 42 cited
Cuboctahedric Higgs oscillator from the Calogero model
T. Hakobyan, A. Nersessian, V. Yeghikyan
We exclude the center of mass of the N-particle rational Calogero model and consider the angular part of the resulting Hamiltonian. We show that it describes the motion of the part…
hep-th2008★ 26 cited
Lobachevsky geometry of (super)conformal mechanics
Tigran Hakobyan, Armen Nersessian
We give a simple geometric explanation for the similarity transformation mapping one-dimensional conformal mechanics to free-particle system. Namely, we show that this transformati…
cond-mat.str-el2008★ 12 cited
Antiferromagnetic ordering of energy levels for spin ladder with four-spin cyclic exchange: Generalization of the Lieb-Mattis theorem
Tigran Hakobyan
The Lieb-Mattis theorem is generalized to an antiferromagnetic spin-ladder model with four-spin cyclic exchange interaction. We prove that for J>2K, the antiferromagnetic ordering…