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5 papers · 2 filters
Long-Time Behavior of Typical Pure States from Thermal Equilibrium Ensembles
Cornelia Vogel
We consider an isolated macroscopic quantum system in a pure state evolving unitarily in a separable Hilbert space and take for granted that different macro sta…
Discrete-time systems in quasi-standard form and the coalgebra symmetry
Pavel Drozdov, Giorgio Gubbiotti
In this paper, we characterize all discrete-time systems in quasi-standard form admitting coalgebra symmetry with respect to the Lie--Poisson algebra . The outcom…
The Huang-Yang formula for the low-density Fermi gas: upper bound
Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam +1
We study the ground state energy of a gas of spin fermions with repulsive short-range interactions. We derive an upper bound that agrees, at low density , with the Huang-Y…
Darboux's Theorem, Lie series and the standardization of the Salerno and Ablowitz-Ladik models
Marco Calabrese, Simone Paleari, Tiziano Penati
In the framework of nonlinear Hamiltonian lattices, we revisit the proof of Moser-Darboux's Theorem, in order to present a general scheme for its constructive applicability to Hami…
On the Ginzburg-Landau Energy of Corners
Michele Correggi, Emanuela L. Giacomelli, Ayman Kachmar
It is a well known fact that the geometry of a superconducting sample influences the distribution of the surface superconductivity for strong applied magnetic fields. For instance,…