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For each γ ∈ [0, 1] we consider the Dirichlet form ℰ $$_\mu ^\gamma$$ and the associated Dirichlet operator $$H_\mu ^\gamma$$ for the Gibbs measure μ of quantum unbounded spin systems interacting via superstable and regular potential. The Gibbs measure μ is related to the Gibbs state of the system via a (functional) Euclidean integral procedure. The configuration space for the spin systems...
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