TY - BOOK AU - Moretti,Valter AU - Chiossi,Simon G. TI - Spectral theory and quantum mechanics: with an introduction to the algebraic formulation T2 - Unitext - La matematica per il 3+2 SN - 9788847028340 (pbk. : alk. paper) U1 - 515.7222 23 PY - 2013/// CY - New York : PB - Springer-Verlag KW - Spectral theory (Mathematics) KW - Quantum theory KW - Quantum field theory KW - Mathematics N1 - "Translated and extended version of the original Italian edition: V. Moretti, Teoria spettrale e meccanica quantistica, ©Springer-Verlag Italia 2010"--Title page verso; Includes bibliographical references and index; 1. Introduction and mathematical backgrounds -- 2. Normed and Banach spaces, examples and applications -- 3. Hilbert spaces and bounded operators -- 4. Families of compact operators on Hilbert spaces and fundamental properties -- 5. Densely-defined unbounded operators on Hilbert spaces -- 6. Phenomenology of quantum systems and wave mechanics: an overview -- 7. The first 4 axioms of QM: propositions, quantum states and observables -- 8. Spectral theory I: generalities, abstract C*-algebras and operators in [beta]H -- 9. Spectral theory II: unbounded operators on Hilbert spaces -- 10. Spectral theory III: applications -- 11. Mathematical formulation of non-relativistic quantum mechanics -- 12. Introduction to quantum symmetries -- 13. Selected advanced topics in quantum mechanics -- 14. Introduction to the algebraic formulation of quantum theories -- Appendices-- References-- Index N2 - This mathematically rigorousm self-contained book explains the foundations of Quantum Mechanics and Quantum Theories in general. Includes a primer on general topology and abstract measure theory, along with material in the appendices on differential geometry ER -