150 citations · 355 across the 12 of their papers we have counts for
12 papers
Convergent Quantum Normal Forms, -symmetry and reality of the spectrum
Emanuela Caliceti, Sandro Graffi
A class of non-selfadjoint, $\PT$-symmetric operators is identified similar to a self-adjoint one, thus entailing the reality of the spectrum. The similarity transformation is expl…
Quadratic PT-symmetric operators with real spectrum and similarity to self-adjoint operators
Emanuela Caliceti, Sandro Graffi, Michael Hitrik +1
It is established that a PT-symmetric elliptic quadratic differential operator with real spectrum is similar to a self-adjoint operator precisely when the associated fundamental ma…
A criterion for the reality of the spectrum of PT symmetric Schroedinger operators with complex-valued periodic potentials
E. Caliceti, S. Graffi
Consider in the \Sc operator family depending on the real parameter , where is a complex-valued but symmetric periodic potential. A…
From Useful Algorithms for Slowly Convergent Series to Physical Predictions Based on Divergent Perturbative Expansions
E. Caliceti, M. Meyer-Hermann, P. Ribeca +2
This review is focused on the borderline region of theoretical physics and mathematics. First, we describe numerical methods for the acceleration of the convergence of series. Thes…
Perturbation theory of PT-symmetric Hamiltonians
E. Caliceti, F. Cannata, S. Graffi
In the framework of perturbation theory the reality of the perturbed eigenvalues of a class of $\PT$symmetric Hamiltonians is proved using stability techniques. We apply this metho…
Spectral theory and distributional Borel summability for the quantum Hénon-Heiles model
Emanuela Caliceti
The Borel summability in the distributional sense is established of the divergent perturbation theory for the ground state resonance of the quantum Hénon-Heiles model.