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Spectral theory and quantum mechanics : with an introduction to the algebraic formulation / Valter Moretti [translated by Simon G. Chiossi]

By: Contributor(s): Material type: TextTextSeries: 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)
Subject(s): DDC classification:
  • 23 M845 515.7222
Contents:
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.
Summary: 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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Holdings
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
Total holds: 0

"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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