On the self-adjointness of \(H+A^*+A\)

DOI10.1007/s11040-020-09359-xOpenAlexW3011570003MaRDI QIDQ2211091

Andrea Posilicano

Publication date: 12 November 2020

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05412

zbMATH Keywords

singular perturbationsselfadjoint operatorsKreĭn's resolvent formularenormalizable QFT models

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16)

Related Items (5)

Ground states and associated path measures in the renormalized Nelson model ⋮ The resolvent of the Nelson Hamiltonian improves positivity ⋮ Self-adjointness of a class of multi-spin-boson models with ultraviolet divergences ⋮ Hamiltonians for polaron models with subcritical ultraviolet singularities ⋮ Absence of ground states in the renormalized massless translation-invariant Nelson model

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