Correggi M., Falconi M. Quantum Mathematics II 2023

Textbook in PDF format

Preface
Quantum Field Theory
Dynamical Systems Involving Pseudo-Fermionic Operators and Generalized Quaternion Groups
An Evolution Equation Approach to Linear Quantum Field Theory
Renormalization of Spin–Boson Interactions Mediated by Singular Form Factors
The Casimir-Polder Effect for an Approximate Pauli-Fierz Model: The Atom Plus Wall Case
Open Quantum Systems
Asymptotic Dynamics of Open Quantum Systems and ModularTheory
Boson Quadratic GKLS Generators
Many-Body Quantum Mechanics
Energy Expansions for Dilute Bose gases from Local Condensation Results: A Review of Known Results
Bogoliubov Theory for Ultra Dilute Bose Gases
Thermodynamic Game and the Kac Limit in Quantum Lattices
Uniform in Time Convergence to Bose–Einstein Condensation for a Weakly Interacting Bose Gas with an External Potential
Bogoliubov Theory for the Dilute Fermi Gas in Three Dimensions
Bogoliubov Transformations Beyond Shale–Stinespring: Generic v* v for Bosons
Trial States for Bose Gases: Singular Scalings and Non-integrable Potentials