Browsing by Author "De Nittis, Giuseppe"
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- ItemA new light on the FKMM invariant and its consequences(2023) De Nittis, Giuseppe; Kiyonori Gomi
- ItemAbout the notion of eigenstates for C*-algebras and some application in quantum mechanics(AIP Publishing, 2023) De Nittis, Giuseppe; Polo Ojito, Danilo JoséThis work is concerned with the notion of eigenstates for C*-algebras. After reviewing some basic and structural results, we explore the possibility of reinterpreting certain typical concepts of quantum mechanics (e. g. dynamical equilibrium states, ground states, gapped states, Fermi surfaces) in terms of (algebraic) eigenstates.
- ItemC*-algebric methods for transport phenomena(2023) Polo Ojito, Danilo; De Nittis, Giuseppe; Pontificia Universidad Católica de Chile. Facultad de Matemáticas
- ItemDerivation of Ray Optics Equations in Photonic Crystals via a Semiclassical Limit(2017) De Nittis, Giuseppe; Lein, M
- ItemDifferential geometric invariants for time-reversal symmetric Bloch-bundles : the "Real" case(2016) De Nittis, Giuseppe; Gomi, K.
- ItemErratum: “Exponentially localized Wannier functions in periodic zero flux magnetic fields” [J. Math. Phys. 52, 112103 (2011)](2020) De Nittis, Giuseppe; Max Lein
- ItemLinear Response Theory(2017) De Nittis, Giuseppe; Max Lein
- ItemOn the K-theoretic classification of dynamically stable systems(2019) De Nittis, Giuseppe; Kiyonori Gomi
- ItemSpectral continuity for aperiodic quantum systems: Applications of a folklore theorem(2020) Siegfried Beckus; Jean Bellissard; De Nittis, Giuseppe
- ItemThe cohomological nature of the Fu-Kane-Mele invariant(2018) De Nittis, Giuseppe; Gomi, Kiyonori
- ItemThe non-commutative topology of two-dimensional dirty superconductors(2018) De Nittis, Giuseppe; Schulz-Baldes, Hermann
- ItemThe noncommutative geometry of the Landau Hamiltonian: differential aspects(2022) De Nittis, Giuseppe; Maximiliano Sandoval
- ItemTopological description of pure invariant states of the Weyl C-algebra(2025) De Nittis, Giuseppe; González Rendel, SantiagoIn this work we study the topology of certain families of states of the Weyl $C^*$-algebra with finite degrees of freedom. We focus on families of pure states characterized by symmetries and a (semi-)regularity condition, and obtain precise topological descriptions through homeomorphisms with other explicit spaces. Of special importance are the families of pure, semi-regular states invariant under either continuous (plane-wave states) or discrete (Bloch-wave states) spatial translations, and the family of states invariant under discrete, mutually commuting spatial and momentum translations (Zak-wave states), all of which we completely characterize.
- ItemTopology of invariant states(2025) González Rendel, Santiago; De Nittis, Giuseppe; Pontificia Universidad Católica de Chile. Instituto de FísicaWe provide an abstract topological classification scheme for symmetry-invariant states, and discuss its application in the setting of finite degrees of freedom and no spin. We define two invariant states to be equivalent if the localized states conforming them as a superposition can be continuously deformed into each other. Using this notion, we show that the equivalence classes of the so-called gapped states classify the topological phases of topological insulators of types A and AI.