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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Moretti, Valter, author. Spectral theory and quantum mechanics. Milan : Springer Verlag, [2013] (DLC) 2012945983 (OCoLC)806021107 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Valter Moretti |

ISBN: | 9788847028357 8847028353 |

OCLC Number: | 837855997 |

Notes: | "Translated and extended version of the original Italian edition: Teoria spettrale e meccanica quantistica, ©Springer-Verlag Italia 2010"--Title page verso. |

Description: | 1 online resource (xvi, 728 pages) : illustrations. |

Contents: | Introduction and mathematical backgrounds -- Normed and Banach spaces, examples and applications -- Hilbert spaces and bounded operators -- Families of compact operators on Hilbert spaces and fundamental properties -- Densely-defined unbounded operators on Hilbert spaces -- Phenomenology of quantum systems and Wave Mechanics: an overview -- The first 4 axioms of QM: propositions, quantum states and observables -- Spectral Theory I: generalities, abstract C *-algebras and operators in B(H) -- Spectral theory II: unbounded operators on Hilbert spaces -- Spectral Theory III: applications -- Mathematical formulation of non-relativistic Quantum Mechanics -- Introduction to Quantum Symmetries -- Selected advanced topics in Quantum Mechanics -- Introduction to the Algebraic Formulation of Quantum Theories. |

Series Title: | Unitext, 64. |

Other Titles: | Teoria spettrale e meccanica quantistica. Quantum mechanics |

Responsibility: | Valter Moretti ; [translated by Simon G. Chiossi]. |

### Abstract:

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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## Reviews

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Publisher Synopsis

From the reviews: "The present text is an extended translation of its original Italian version published 2010 and gives a comprehensive introduction to the mathematical tools used in quantum mechanics. ... The text is well-written and gives a self-contained and concise introduction to these topics. Many exercises make it suitable as a basis for various courses in this area." (G. Teschl, Monatshefte fur Mathematik, 2013) Read more...

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