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arxiv: 1008.1627 · v1 · pith:553KQFOVnew · submitted 2010-08-10 · 🧮 math.FA

Existence of a ground state for the Nelson model with a singular perturbation

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keywords existencegroundstatehamiltoniannelsonperturbationarbitraryconsidered
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The existence of a ground state of the Nelson Hamiltonian with a perturbation is considered. The self-adjointness of the Hamiltonian and the existence of a ground state are proven for arbitrary values of coupling constants.

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