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Publisher’s description: This book is the first volume that provides an unique overview of the most recent and relevant contributions in the field of mathematical physics with a focus on the mathematical features of quantum mechanics. It is a collection of review papers together with brand new works related to the activities of the INdAM Intensive Period “INdAM Quantum Meetings (IQM22)”, which took place at the Politecnico di Milano in Spring 2022 at Politecnico di Milano. The range of topics covered by the book is wide, going ranging from many-body quantum mechanics to semiclassical analysis, quantum field theory, Schrödinger and Dirac operators and open quantum systems
The articles of this volume will be reviewed individually. For Volume II see [Zbl 1531.81009].
Indexed articles:
Breteaux, S.; Nier, F., Waves in a random medium: endpoint Strichartz estimates and number estimates, 3-87 [Zbl 07920802]
Chong, Jacky J.; Lafleche, Laurent; Saffirio, Chiara, On the semiclassical regularity of thermal equilibria, 89-105 [Zbl 07920803]
Correggi, Michele; Falconi, Marco; Merkli, Marco, Quasi-classical Spin Boson models, 107-127 [Zbl 07920804]
Kammerer, Clotilde Fermanian; Fischer, Véronique; Flynn, Steven, Some remarks on semi-classical analysis on two-step nilmanifolds, 129-162 [Zbl 07920805]
Borrelli, William; Kerraoui, Nour; Ourmières-Bonafos, Thomas, Spectral asymptotics for two-dimensional Dirac operators in thin waveguides, 165-182 [Zbl 07920806]
De Nittis, Giuseppe; Polo Ojito, Danilo, Topological polarization in disordered systems, 183-204 [Zbl 07920807]
Fermi, Davide, Quadratic forms for Aharonov-Bohm Hamiltonians, 205-228 [Zbl 07920808]
Ferretti, Daniele; Teta, Alessandro, Some remarks on the regularized Hamiltonian for three bosons with contact interactions, 229-246 [Zbl 07920809]
Giacomelli, Emanuela L., On the magnetic Laplacian with a piecewise constant magnetic field in \(\mathbb{R}^3_+\), 247-258 [Zbl 07920810]
Hundertmark, Dirk; Jex, Michal; Lange, Markus, Quantum systems at the brink, 259-273 [Zbl 07920811]
Kachmar, Ayman; Pan, Xing-Bin, Lowest eigenvalue asymptotics in strong magnetic fields with interior singularities, 275-297 [Zbl 07920812]
Ammari, Zied; Farhat, Shahnaz; Sohinger, Vedran, Invariant measures as probabilistic tools in the analysis of nonlinear ODEs and PDEs, 301-317 [Zbl 07920813]
Benedikter, Niels; Desio, Davide, Two comments on the derivation of the time-dependent Hartree-Fock equation, 319-333 [Zbl 07920814]
Calignano, Andrea; Correggi, Michele, Derivation of the Gross-Pitaevskii theory for interacting fermions in a trap, 335-356 [Zbl 07920815]