2 edition of **Spectral Theory and Quantum Mechanics** found in the catalog.

- 338 Want to read
- 20 Currently reading

Published
**2013**
by Springer Milan, Imprint: Springer in Milano
.

Written in English

- Applications of Mathematics,
- Mathematical physics,
- Analysis,
- Mathematics,
- Global analysis (Mathematics),
- Mathematical and Computational Physics Theoretical,
- Mathematical Methods in Physics

This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. Having left the physical phenomenology in the background, it is the formal and logical aspects of the theory that are privileged.Another not lesser purpose is to collect in one place a number of useful rigorous statements on the mathematical structure of Quantum Mechanics, including some elementary, yet fundamental, results on the Algebraic Formulation of Quantum Theories.In the attempt to reach out to Master"s or PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. The book should benefit established researchers to organise and present the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly.

**Edition Notes**

Statement | by Valter Moretti |

Series | UNITEXT |

Contributions | SpringerLink (Online service) |

Classifications | |
---|---|

LC Classifications | T57-57.97 |

The Physical Object | |

Format | [electronic resource] : |

Pagination | XVI, 728 p. |

Number of Pages | 728 |

ID Numbers | |

Open Library | OL27088677M |

ISBN 10 | 9788847028357 |

Spectral Theory and Quantum Mechanics; Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation 2nd Edition. Springer. Springer. ISBN . Spectral Theory and Quantum Mechanics by Valter Moretti, , available at Book Depository with free delivery worldwide.

I need some books to learn the basis of linear operator theory and the spectral theory with, if it's possible, physics application to quantum mechanics. Can somebody help me? quantum-mechanics mathematical-physics operators resource-recommendations hilbert-space. Read "Spectral Theory and Quantum Mechanics With an Introduction to the Algebraic Formulation" by Valter Moretti available from Rakuten Kobo. This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introd Brand: Springer Milan.

The original spectral theorem was therefore conceived as a version of the theorem on principal axes of an ellipsoid, in an infinite-dimensional setting. The later discovery in quantum mechanics that spectral theory could explain features of atomic spectra was therefore fortuitous. Download books "Physics - Quantum Mechanics". Ebook library | B–OK. Download books for free. Find books Spectral Theory and Quantum Mechanics: Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation. Springer.

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The spectral theory and a due treatment of unbounded operators still provide the core of the book, which however Spectral Theory and Quantum Mechanics book the interested reader with rigorous statements and proofs for all the many different chapters of mathematics relevant to non-relativistic quantum mechanics.” (Bassano Vacchini, zbMATH)Price: $ Spectral Theory and Quantum Mechanics: With an Introduction to the Algebraic Formulation (UNITEXT) th Edition This book pursues the accurate study of the mathematical foundations of Quantum Theories.

It may be considered an introductory text on linear functional analysis with a focus on Hilbert by: The spectral theory and a due treatment of unbounded operators still provide the core of the book, which however provides the interested reader with rigorous statements and proofs for all the many different chapters of mathematics relevant to non-relativistic quantum mechanics.” (Bassano Vacchini, zbMATH)Brand: Springer International Publishing.

This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces.

Specific attention is given to spectral theory features that are relevant in : Springer-Verlag Mailand. Spectral Theory and Quantum Mechanics: Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation Valter Moretti This book discusses the mathematical foundations of quantum theories.

Spectral Theory and Quantum Mechanics: With an Introduction to the Algebraic Formulation (UNITEXT Book 64) - Kindle edition by Valter Moretti. Download it once and read it on your Kindle device, PC, phones or tablets. This book pursues the accurate study of the mathematical foundations of Quantum Theories.

It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces.

Specific attention is given to spectral theory features that are relevant in physics. Having left the physical phenomenology in the background, it is the formal and logical aspects of the theory that. This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics.

After exploring physical phenomenology, it then turns its attention to the formal and logical aspects of the theory.

This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other by: springer, This book pursues the accurate study of the mathematical foundations of Quantum Theories.

It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics.

Having left the physical phenomenology in the background, it is the formal and logical aspects of the. This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a.

Spectral Theory and Quantum Mechanics { With an Introduction to the Algebraic Formulation 1st English edition, by V. Moretti (translated by S. Chiossi), Springer-Verlag A list of mathematical (and of other kinds) misprints and corresponding corrections ap-pears below.

I usually update the list as soon as anyone points out errors to me. This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other fields.

The main objective of this book is to provide the basic concepts. Spectral Theory and Quantum Mechanics This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics.

About this book Keywords Potential Quantum Dynamics Quantum return probability Schrödinger Operators Spectral Theory mathematical physics mechanics quantum mechanics self-adjoint operators spectral decomposition. Mathematical Concepts of Quantum Mechanics.

This book covers the following topics: Mathematical derour: Operator theory, Fourier transform and the calculus of variations Dynamics, Observables, The uncertainty principle, Spectral theory, Special cases, Many particle system, The Feynman path integral, Quasi classical analysis, Resonances, Quantum field theory and Renormalization group.

What is spectral theory 1 Examples 2 Motivation for spectral theory 8 Prerequisites and notation 9 Chapter 2. Review of spectral theory and compact operators 16 Banach algebras and spectral theory 16 Compact operators on a Hilbert space 20 Chapter 3.

The spectral theorem for bounded operators 34 Spectral Theory and Quantum Mechanics: With an Introduction to the Algebraic Formulation (UNITEXT Book 64) eBook: Moretti, Valter: : Kindle Store5/5(2).

The book should benefit established researchers to organise and present the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly.

Table of Contents Cover Spectral Theory and Quantum Mechanics - With an Introduction to the Algebraic Formulation. This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics.

After exploring physical phenomenology, it then turns its attention to the formal and logical aspects of the. Von Neumann in fact offered axioms for quantum mechanics, and what they lead to is nothing less than his famous formulation of QM in functional analytic terms: unitary operators on a Hilbert space (of “states”) and spectral analysis rule the roost; measure theory dominates the question of what can be “observed” and there needs to be agreement between what certain eigenvalue problems yield .The first part covers mathematical foundations of quantum mechanics from self-adjointness, the spectral theorem, quantum dynamics (including Stone's and the RAGE theorem) to perturbation theory for self-adjoint operators.