Spectral theory and quantum mechanics : with an introduction to the algebraic formulation / Valter Moretti [translated by Simon G. Chiossi]
Material type:
TextSeries: Unitext - La matematica per il 3+2 ; v 64. | Unitext ; 64.Publication details: New York : Springer-Verlag, 2013.Description: xvi, 728 p. : illustrations ; 24 cmISBN: - 9788847028340 (pbk. : alk. paper)
- 23 M845 515.7222
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.7222 M845 (Browse shelf(Opens below)) | Available | 135700 |
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| No cover image available | No cover image available | No cover image available | No cover image available | |||||
| 515.7222 K83 Implementing spectral methods for partial differential equations | 515.7222 L865 Spectral theory | 515.7222 M815 Spectral theory of toeplitz operators | 515.7222 M845 Spectral theory and quantum mechanics : | 515.7222 P253 Spectral theory of non-commutative harmonic oscillators | 515.7222 P293 Spectra of random and almost-periodic operators | 515.7222 Q3 Substitution dynamical systems - Spectral analysis |
"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.
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.
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