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Table of Contents
Chapter 1. Introduction
Chapter 2. Many-Body Quantum Mechanics
Chapter 3. Two Comments on the Derivation of the Time-Dependent Hartree-Fock Equation
Chapter 4. Bogoliubov Theory for Ultra Dilute Bose Gases
Chapter 5. Derivation of the Ginzburg-Landau Theory for Interacting Fermions in a Trap
Chapter 6. Energy expansions for dilute Bose gases from local condensation results: a review of known results
Chapter 7. Bogoliubov theory for the dilute Fermi gas in three dimensions
Chapter 8. Uniform in Time Convergence to Bose-Einstein Condensation for a Weakly Interacting Bose Gas with External Potentials
Chapter 9. Trial states for Bose gases: singular scalings and non-integrable potentials
Chapter 10. Bogoliubov Transformations Beyond Shale-Stinespring: Generic v* v for bosons
Chapter 11. Thermodynamic Game and The Kac Limit in Quantum Lattices
Chapter 12. Topological Polarization in disordered systems
Chapter 13. Open Quantum Systems
Chapter 14. On the Asymptotics Dynamics of Open Quantum Systems
Chapter 15. Boson quadratic GKLS generators
Chapter 16. Semiclassical Analysis
Chapter 17. Some Remarks on Semiclassical Analysis on Two-Steps Nilmanifolds
Chapter 18. Waves in a Random Medium: Endpoint Strichartz Estimates and Number Estimates
Chapter 19. Quasi-Classical Spin Boson Models
Chapter 20. On the Semiclassical Regularity of Thermal Equilibria
Chapter 21. Invariant measures as probabilistic tools in the analysis of nonlinear ODEs & PDEs
Chapter 22. Quantum Field Theory
Chapter 23. An Evolution Equation Approach to Linear Quantum Field Theory
Chapter 24. Renormalization of spinboson interactions mediated by singular form factors:The Casimir-Polder effect for an approximate Pauli-Fierz model: the atom plus wall case
Chapter 25. Dynamical Systems Involving Pseudo-Fermionic Operators and Generalized Quaternion Groups
Chapter 26. Schroedinger and Dirac Operators
Chapter 27. Spectral Asymptotics for Two-dimensional Dirac Operators in Thin Waveguides
Chapter 28. Quadratic forms for Aharonov-Bohm Hamiltonians
Chapter 29. On the magnetic Laplacian with a piecewise constant magnetic field in R3+
Chapter 30. Quantum Systems at The Brink. - Chapter 31. Lowest Eigenvalue Asymptotics in Strong Magnetic Fields with Interior Singularities
Chapter 32. Some Remarks on the Regularized Hamiltonian for Three Bosons with Contact Interactions.
Chapter 2. Many-Body Quantum Mechanics
Chapter 3. Two Comments on the Derivation of the Time-Dependent Hartree-Fock Equation
Chapter 4. Bogoliubov Theory for Ultra Dilute Bose Gases
Chapter 5. Derivation of the Ginzburg-Landau Theory for Interacting Fermions in a Trap
Chapter 6. Energy expansions for dilute Bose gases from local condensation results: a review of known results
Chapter 7. Bogoliubov theory for the dilute Fermi gas in three dimensions
Chapter 8. Uniform in Time Convergence to Bose-Einstein Condensation for a Weakly Interacting Bose Gas with External Potentials
Chapter 9. Trial states for Bose gases: singular scalings and non-integrable potentials
Chapter 10. Bogoliubov Transformations Beyond Shale-Stinespring: Generic v* v for bosons
Chapter 11. Thermodynamic Game and The Kac Limit in Quantum Lattices
Chapter 12. Topological Polarization in disordered systems
Chapter 13. Open Quantum Systems
Chapter 14. On the Asymptotics Dynamics of Open Quantum Systems
Chapter 15. Boson quadratic GKLS generators
Chapter 16. Semiclassical Analysis
Chapter 17. Some Remarks on Semiclassical Analysis on Two-Steps Nilmanifolds
Chapter 18. Waves in a Random Medium: Endpoint Strichartz Estimates and Number Estimates
Chapter 19. Quasi-Classical Spin Boson Models
Chapter 20. On the Semiclassical Regularity of Thermal Equilibria
Chapter 21. Invariant measures as probabilistic tools in the analysis of nonlinear ODEs & PDEs
Chapter 22. Quantum Field Theory
Chapter 23. An Evolution Equation Approach to Linear Quantum Field Theory
Chapter 24. Renormalization of spinboson interactions mediated by singular form factors:The Casimir-Polder effect for an approximate Pauli-Fierz model: the atom plus wall case
Chapter 25. Dynamical Systems Involving Pseudo-Fermionic Operators and Generalized Quaternion Groups
Chapter 26. Schroedinger and Dirac Operators
Chapter 27. Spectral Asymptotics for Two-dimensional Dirac Operators in Thin Waveguides
Chapter 28. Quadratic forms for Aharonov-Bohm Hamiltonians
Chapter 29. On the magnetic Laplacian with a piecewise constant magnetic field in R3+
Chapter 30. Quantum Systems at The Brink. - Chapter 31. Lowest Eigenvalue Asymptotics in Strong Magnetic Fields with Interior Singularities
Chapter 32. Some Remarks on the Regularized Hamiltonian for Three Bosons with Contact Interactions.