Quantum Mathematics I
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 activitie...
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| Altri autori: | , |
| Natura: | Elettronico eBook |
| Lingua: | inglese |
| Pubblicazione: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2023.
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| Edizione: | 1st ed. 2023. |
| Serie: | Springer INdAM Series,
57 |
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| Accesso online: | https://doi.org/10.1007/978-981-99-5894-8 |
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Sommario:
- 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 AsymptoticsDynamics 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 spin–boson 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.