Titlebook: Quantum Mathematics I; Michele Correggi,Marco Falconi Conference proceedings 2023 The Editor(s) (if applicable) and The Author(s), under e

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On the Semiclassical Regularity of Thermal Equilibriands. As a corollary, we identify explicitly a class of positive temperature states satisfying the regularity assumptions of Chong et al. (From Many-Body Quantum Dynamics to the Hartree Fock and Vlasov Equations with Singular Potentials, pp. 1–74, 2021).

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Topological Polarization in Disordered Systems and the so-called orbital polarization. This work is devoted to the rigorous derivation of the celebrated King-Smith and Vanderbilt formula for orbital polarization in a generalized setting which includes continuous random systems among others.

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Lowest Eigenvalue Asymptotics in Strong Magnetic Fields with Interior Singularitiesr singular points. In particular, we consider a singular magnetic potential of unit length, occurring in the theory of liquid crystals, and determine the leading eigenvalue asymptotics. Moreover, we present examples of magnetic potentials having several singular points, whose cost is minimized by locating them near the boundary of the domain.

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978-981-99-5896-2The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor

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