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arXiv · 2010.03235

The resolvent of the Nelson Hamiltonian improves positivity

Jonas Lampart
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Abstract

We prove that the resolvent of the renormalised Nelson Hamiltonian at fixed total momentum P improves positivity in the (momentum) Fock-representation, for every P. Our argument is based on an explcit representation of the renormalised operator and its domain using interior boundary conditions.

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Jonas Lampart. 2020-10-07. The resolvent of the Nelson Hamiltonian improves positivity. https://doi.org/10.1007/s11040-021-09374-6

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