4 papers
Quantum Systems with jump-discontinuous mass. I
Fabio Deelan Cunden, Giovanni Gramegna, Marilena Ligabò
We consider a free quantum particle in one dimension whose mass profile exhibits jump discontinuities. The corresponding Hamiltonian is a self-adjoint realisation of the kinetic-en…
Wandering range of robust quantum symmetries
Daniel Burgarth, Paolo Facchi, Marilena Ligabò +2
This paper introduces the concept of the wandering range of a robust symmetry of a Hamiltonian . This quantity measures how the perturbed time evolution $\mathrm{e}^{\mathrm…
Truncated quantum observables and their semiclassical limit
Fabio Deelan Cunden, Marilena Ligabò, Maria Caterina Susca
For quantum observables truncated on the range of orthogonal projections of rank , we study the corresponding Weyl symbol in the phase space in the semiclassical limi…
Robustness of quantum symmetries against perturbations
Paolo Facchi, Marilena Ligabò, Vito Viesti
We investigate quantum symmetries in terms of their large-time stability with respect to perturbations of the Hamiltonian. We find a complete algebraic characterization of the set…