14 citations · 62 across the 7 of their papers we have counts for
5 papers · 1 filter
Boundaries without boundaries
Paolo Facchi, Giancarlo Garnero, Giuseppe Marmo +2
Starting with a quantum particle on a closed manifold without boundary, we consider the process of generating boundaries by modding out by a group action with fixed points, and we…
Quantum cavities with alternating boundary conditions
Paolo Facchi, Giancarlo Garnero, Marilena Ligabò
We consider the quantum dynamics of a free nonrelativistic particle moving in a cavity and we analyze the effect of a rapid switching between two different boundary conditions. We…
Quantum Fluctuation Relations
Paolo Facchi, Giancarlo Garnero, Marilena Ligabò
We present here a set of lecture notes on exact fluctuation relations. We prove the Jarzynski equality and the Crooks fluctuation theorem, two paradigmatic examples of classical fl…
Quantum Thermodynamics and Canonical Typicality
Paolo Facchi, Giancarlo Garnero
We present here a set of lecture notes on quantum thermodynamics and canonical typicality. Entanglement can be constructively used in the foundations of statistical mechanics. An a…
Self-adjoint extensions and unitary operators on the boundary
Paolo Facchi, Giancarlo Garnero, Marilena Ligabò
We establish a bijection between the self-adjoint extensions of the Laplace operator on a bounded regular domain and the unitary operators on the boundary. Each unitary encodes a s…