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

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Renormalization of Spin–Boson Interactions Mediated by Singular Form Factorssimilar rotating-wave structure, to interactions mediated by possibly singular (non-normalizable) form factors satisfying a weaker growth constraint. To this purpose, a construction of annihilation and creation operators as continuous maps on a scale of Fock spaces, together with a rigorous renormal

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Uniform in Time Convergence to Bose–Einstein Condensation for a Weakly Interacting Bose Gas with an l state of our system is a product state, we show that in the trace topology of one-body density matrices, the dynamics of the system can be described by the solution to the corresponding Hartree type equation. Using a dispersive estimate for the Hartree type equation, we obtain an error term that i

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