Gustafson S Mathematical Concepts of Quantum Mechanics 3ed 2020 torrent

Textbook in PDF format

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, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, 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. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory.
Physical Background
Dynamics
Observables
Quantization
Uncertainty Principle and Stability of Atoms and Molecules
Spectrum and Dynamics
Special Cases and Extensions
Bound States and Variational Principle
Scattering States
Existence of Atoms and Molecules
Perturbation Theory: Feshbach-Schur Method
Born–Oppenheimer Approximation and Adiabatic Dynamics
General Theory of Many-Particle Systems
Self-Consistent Approximations
The Feynman Path Integral
Semi-Classical Analysis
Resonances
Quantum Statistics
Open Quantum Systems
The Second Quantization
Quantum Electro-Magnetic Field – Photons
Standard Model of Non-relativistic Matter and Radiation
Theory of Radiation
Renormalization Group
Mathematical Supplement: Elements of Operator Theory
Mathematical Supplement: The Calculus of Variations
Comments on Literature, and Further Reading