Produktbild: Lectures on the Mathematics of Quantum Mechanics I
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Lectures on the Mathematics of Quantum Mechanics I

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

09.06.2015

Abbildungen

XXI, 459 p.

Verlag

Atlantis Press

Seitenzahl

459

Maße (L/B/H)

24,1/16/3,2 cm

Gewicht

887 g

Auflage

2015

Sprache

Englisch

ISBN

978-94-6239-117-8

Beschreibung

Rezension

“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 proceedingsin these domains. It is a remarkable book.” (Décio Krause, Mathematical Reviews, May, 2016)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

09.06.2015

Abbildungen

XXI, 459 p.

Verlag

Atlantis Press

Seitenzahl

459

Maße (L/B/H)

24,1/16/3,2 cm

Gewicht

887 g

Auflage

2015

Sprache

Englisch

ISBN

978-94-6239-117-8

Herstelleradresse


Email: info@bod.de

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  • Produktbild: Lectures on the Mathematics of Quantum Mechanics I

  • 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).