Mathematical Concepts of Quantum MechanicsSpringer Science & Business Media, 24.09.2011 - 382 Seiten 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 notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory. |
Inhalt
1 | |
8 | |
3 Observables | 19 |
4 Quantization | 26 |
5 Uncertainty Principle and Stability of Atoms and Molecules | 41 |
6 Spectrum and Dynamics | 47 |
7 Special Cases | 60 |
8 Bound States and Variational Principle | 75 |
15 Quasiclassical Analysis | 155 |
16 Resonances | 173 |
17 Quantum Statistics | 190 |
18 The Second Quantization | 209 |
19 Quantum ElectroMagnetic Field Photons | 227 |
20 Standard Model of Nonrelativistic Matterand Radiation | 247 |
21 Theory of Radiation | 263 |
22 Renormalization Group | 284 |
9 Scattering States | 88 |
10 Existence of Atoms and Molecules | 99 |
FeshbachSchur Method | 107 |
12 General Theory of Manyparticle Systems | 126 |
13 Selfconsistent Approximations | 141 |
14 The Feynman Path Integral | 149 |
Spectral Analysis | 299 |
The Calculus of Variations | 339 |
25 Comments on Literature and Further Reading | 359 |
References | 364 |
377 | |
Andere Ausgaben - Alle anzeigen
Mathematical Concepts of Quantum Mechanics Stephen J. Gustafson,Israel Michael Sigal Eingeschränkte Leseprobe - 2003 |
Mathematical Concepts of Quantum Mechanics Stephen J. Gustafson,Israel Michael Sigal Eingeschränkte Leseprobe - 2012 |