Mathematical Concepts of Quantum Mechanics

• Κύριοι συγγραφείς: Gustafson, Stephen J. (Συγγραφέας), Sigal, Israel Michael (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Functional analysis.; Physics.; Quantum physics.; Functional Analysis.; Theoretical, Mathematical and Computational Physics.; Quantum Physics.

The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic...

Πίνακας περιεχομένων:

• 1 Physical Background
• 2 Dynamics
• 3 Observables
• 4 Quantization
• 5 Uncertainty Principle and Stability of Atoms and Molecules
• 6 Spectrum and Dynamics
• 7 Special Cases
• 8 Bound States and Variational Principle
• 9 Scattering States
• Existence of Atoms and Molecules
• 11 Perturbation Theory: Feshbach-Schur Method
• 12 General Theory of Many-particle Systems
• 13 Self-consistent Approximations
• 14 The Feynman Path Integral
• 15 Quasi-classical Analysis
• 16 Resonances
• 17 Quantum Statistics
• 18 The Second Quantization
• 19 Quantum Electro-Magnetic Field – Photons
• 20 Standard Model of Non-relativistic Matter and Radiation
• 21 Theory of Radiation
• 22 Renormalization Group
• 23 Mathematical Supplement: Spectral Analysis
• 24 Mathematical Supplement: The Calculus of Variations
• 25 Comments on Literature, and Further Reading
• References
• Index.