This course-tested book explains in detail the theory of linear Hilbert-spaceoperators and their use in quantum physics. The central mathematical tool of the book is the spectral theory of self-adjoint operators; in order to make the exposition self-contained, selected topics of functional analysis are included. An introduction to the theory of operator sets and algebras is also presented. This mathematical material is then used for a systematic analysis of the operator structure of quantum theory. Logical building of the theory is discussed as well as its practical aspects, such as spectral properties of quantum mechanical Hamiltonians, scattering theory, and more. The second edition was extended by two new chapters devoted to properties of quantum waveguides and quantum graphs. The bibliography was amended by about 130 new items. Self-contained and in-depth exposition of the foundations of quantum theory The second edtion of this successful book contains chapters on new and important subjects such as quantum waveguides and quantum graphs Includes up to 500 problems ranging from simple exercises to deeper questions testing the reader’s full understanding Extensive bibliography containing monographs as well as numerous research papers INDICE: Preface.- Some Notions from Functional Analysis.- Hilbert Spaces.-Bounded Operators.- Unbounded Operators.- Spectral Theory.- Operator Sets andAlgebras.- States and Observables.- Position and Momentum.- Time Evolution.- Symmetries of Quantum Systems.- Composite Systems.- The Second Quantization.- Axiomatization of Quantum Theory.- Schroederinger Operators.- Scattering Theory.- Quantum Waveguides.- Quantum Graphs.- Appendix A: Measure and Integration.- Appendix B: Some Algebraic Notions.- References.- List of Symbols.- Index.
- ISBN: 978-1-4020-8869-8
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 660
- Fecha Publicación: 01/10/2008
- Nº Volúmenes: 1
- Idioma: Inglés