Author

D. Noja

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Preprint Sep 2026

A renormalized Lee Model: resolvent and spectral analysis

We construct and analyze a renormalized three-dimensional massive Lee model; its renormalized Hamiltonian is defined intrinsically through an abstract construction which explicitly provides the operator domain, action and a Kre\u\i n-like resolvent formula. Conservation of the total excitation number reduces the spectr...

C. Cacciapuoti, F. Muscolino, D. Noja et al. · 0 citations

Preprint Aug 2026

Robin Laplacians with point interactions on unbounded domains: discrete spectrum and coupling asymptotics

We investigate the discrete spectrum of finitely many point interactions for Neumann and Robin Laplacians on special unbounded and exterior $C^{1,1}$ domains in dimensions two and three. The operators are realized as self-adjoint extensions through an ordinary boundary triple whose gamma field and Weyl matrix are const...

D. Noja, Francesco Raso Stoia · 0 citations

Preprint Jul 2026

The Dirichlet Laplacian with a point interaction on unbounded Lipschitz domains

We study one-centre point interactions for the Dirichlet Laplacian on unbounded domains in dimensions two and three, with emphasis on exterior domains and special Lipschitz domains. These operators are singular perturbations constructed as self-adjoint extensions of the Dirichlet Laplacian restricted to functions vanis...

D. Noja, Francesco Raso Stoia · 1 citation