Prefer a chat interface with context about you and your work?
Quantum singular complete integrability
Abstract We consider some perturbations of a family of pairwise commuting linear quantum Hamiltonians on the torus with possibly dense pure point spectra. We prove that their Rayleigh–Schrodinger perturbation series converge near each unperturbed eigenvalue under the form of a convergent quantum Birkhoff normal form. Moreover the family is jointly …