New truncated q-GC gyrostat and its physical implication |
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| Institution: | 1. Theoretical Physics Division, Nankai Institute of Mathematics, Tianjin 300071, China;2. Physics Department, Northeast Normal University, Changchun 130024, China;1. Moscow Institute of Physics and Technology, Inststitutskii per. 9, Dolgoprudny, Moscow region, 141700, Russian Federation;2. ITEP, B.Cheremushkinskaya 25, Moscow 117218, Russian Federation;3. Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina str. 8, 119991, Moscow, Russian Federation;4. Skolkovo Institute of Science and Technology, 143026 Moscow, Russian Federation;5. National Research University Higher School of Economics, Russian Federation;6. Institute of Biochemical Physics of Russian Academy of Sciences, Kosygina str. 4, 119334, Moscow, Russian Federation |
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| Abstract: | A new form of the truncated global transfer matrix T(x) is given for the 6-vertex R(x)-matrix. It is a q-deformation of the new Goryachev-Chaplygin gyrostat. The derived Hamiltonian gives the correct form of the q-top obeying the RTT relation. Physically, the q-GC top can be viewed as a model including quadratic terms in the magnetic translation operators. |
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