Overview

Full Product Details

Author:   Gianfausto Dell'Antonio
Publisher:   Atlantis Press (Zeger Karssen)
Imprint:   Atlantis Press (Zeger Karssen)
Edition:   2015 ed.
Volume:   1
Dimensions:   Width: 15.50cm , Height: 2.70cm , Length: 23.50cm
Weight:   8.454kg
ISBN:  

9789462391178

ISBN 10:   9462391173
Pages:   459
Publication Date:   09 June 2015
Audience:   College/higher education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Elements of the history of Quantum Mechanics I.- Elements of the history of Quantum Mechanics II.- Axioms, states, observables, measurement, difficulties.- Entanglement, decoherence, Bell's inequalities, alternative theories.- Automorphisms; Quantum dynamics; Theorems of Wigner, Kadison, Segal; Continuity and generators.- Operators on Hilbert spaces I; Basic elements.- Quadratic forms.- Properties of free motion, Anholonomy, Geometric phase.- Elements of C -algebras, GNS representation, automorphisms and dynamical systems.- Derivations and generators. K.M.S. condition. Elements of modular structure. Standard form.- Semigroups and dissipations. Markov approximation.- Quantum dynamical semigroups I.- Positivity preserving contraction semigroups on C -algebras.- Conditional expectations.- Complete Dissipations.- Weyl system, Weyl algebra, lifting symplectic maps.- Magnetic Weyl algebra.- A Theorem of Segal.- Representations of Bargmann, Segal, Fock.- Second quantization.- Other quantizations (deformation, geometric).

Reviews

This is a huge book on the mathematical foundations of quantum theory, including both non-relativistic quantum mechanics (QM) and quantum field theories (QFT). ... the specialized reader will find in the book a very nice reference for checking concepts and ways of proceedings in these domains. It is a remarkable book. (Decio Krause, Mathematical Reviews, May, 2016)

QM has also been the source of many interesting mathematical problems and developments to which only very few books devote careful attention and discussion. One of the praiseworthy merits of Dell'Antonio's book is to present a comprehensive and updates account of such important mathematical results. ... For these reasons the book qualifies as a must for the education of mathematical physics graduate students and clearly provides very useful information also for theoretical physicists as well for mathematicians. (Franco Strocchi, zbMATH 1357.81001, 2017) This is a huge book on the mathematical foundations of quantum theory, including both non-relativistic quantum mechanics (QM) and quantum field theories (QFT). ... the specialized reader will find in the book a very nice reference for checking concepts and ways of proceedings in these domains. It is a remarkable book. (Decio Krause, Mathematical Reviews, May, 2016)

QM has also been the source of many interesting mathematical problems and developments to which only very few books devote careful attention and discussion. One of the praiseworthy merits of Dell'Antonio's book is to present a comprehensive and updates account of such important mathematical results. ... For these reasons the book qualifies as a must for the education of mathematical physics graduate students and clearly provides very useful information also for theoretical physicists as well for mathematicians. (Franco Strocchi, zbMATH 1357.81001, 2017) This is a huge book on the mathematical foundations of quantum theory, including both non-relativistic quantum mechanics (QM) and quantum field theories (QFT). ... the specialized reader will find in the book a very nice reference for checking concepts and ways of proceedings in these domains. It is a remarkable book. (Decio Krause, Mathematical Reviews, May, 2016)

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions