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math-ph2020★ 4 cited
On the Generalised Equipartition Law
Guido Magnano, Beniamino Valsesia
We observe that the so-called Generalised Equipartition Law for hamiltonian systems is actually valid only under specific hypotheses -- unfortunately omitted in some textbooks -- w…
math-ph2020
New Separation of Variables for the Classical XXX and XXZ Heisenberg Spin Chains
Guido Magnano, Taras Skrypnyk
We propose a non-standard separation of variables for the classical integrable XXX and XXZ spin chains with degenerate twist matrix. We show that for the case of such twist matrice…