Druck auf Anfrage Neuware - Printed after ordering - This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general probability theory, and general spectral theory including the basic theory of von Neumann algebras and of the algebraic formulation, naturally arising in the study of the mathematical machinery of quantum theories. Some general results concerning hidden-variable interpretations of QM such as Gleason's and the Kochen-Specker theorems and the related notions of realism and non-contextuality are carefully discussed. This is done also in relation with the famous Bell (BCHSH) inequality concerning local causality.Written in a didactic style, this book includes many examples and solved exercises.The work is organized as follows. Chapter 1 reviews some elementary factsand properties of quantum systems. Chapter 2 and 3 present the main results of spectral analysis in complex Hilbert spaces. Chapter 4 introduces the point of view of the orthomodular lattices' theory. Quantum theory form this perspective turns out to the probability measure theory on the non-Boolean lattice of elementary observables and Gleason's theorem characterizes all these measures. Chapter 5 deals with some philosophical and interpretative aspects of quantum theory like hidden-variable formulations of QM. The Kochen-Specker theorem and its implications are analyzed also in relation BCHSH inequality, entanglement, realism, locality, and non-contextuality. Chapter 6 focuses on the algebra of observables also in the presence of superselection rules introducing the notion of von Neumann algebra. Chapter 7 offers the idea of (groups of) quantum symmetry, in particular, illustrated in terms of Wigner and Kadison theorems. Chapter 8 deals with the elementary ideas and results of the socalled algebraic formulation of quantum theories in terms of both \*-algebras and C\*-algebras.This book should appeal to a dual readership: on one hand mathematicians that wish to acquire the tools that unlock the physical aspects of quantum theories; on the other physicists eager to solidify their understanding of the mathematical scaffolding of quantum theories.

Bestandsnummer des Verk�ufers 9783030183455

Verk�ufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel: Fundamental Mathematical Structures of Quantum Theory : Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
Verlag: Springer International Publishing
Erscheinungsjahr: 2019
Sprache: Englisch
ISBN-10: 3030183459
ISBN-13: 9783030183455
Einband: Buch
Zustand: Neu
Abmessungen: Breite: 241 mm, H�he: 160 mm, Tiefe: 25 mm
Gewicht: 694 Gramm

�ber diesen Titel

Inhaltsangabe

This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general probability theory, and general spectral theory including the basic theory of von Neumann algebras and of the algebraic formulation, naturally arising in the study of the mathematical machinery of quantum theories. Some general results concerning hidden-variable interpretations of QM such as Gleason’s and the Kochen-Specker theorems and the related notions of realism and non-contextuality are carefully discussed. This is done also in relation with the famous Bell (BCHSH) inequality concerning local causality.

Written in a didactic style, this book includes many examples and solved exercises.

The work is organized as follows. Chapter 1 reviews some elementary facts and properties of quantum systems. Chapter 2 and 3 present the main results of spectral analysis in complex Hilbert spaces. Chapter 4 introduces the point of view of the orthomodular lattices’ theory. Quantum theory form this perspective turns out to the probability measure theory on the non-Boolean lattice of elementary observables and Gleason’s theorem characterizes all these measures. Chapter 5 deals with some philosophical and interpretative aspects of quantum theory like hidden-variable formulations of QM. The Kochen-Specker theorem and its implications are analyzed also in relation BCHSH inequality, entanglement, realism, locality, and non-contextuality. Chapter 6 focuses on the algebra of observables also in the presence of superselection rules introducing the notion of von Neumann algebra. Chapter 7 offers the idea of (groups of) quantum symmetry, in particular, illustrated in terms of Wigner and Kadison theorems. Chapter 8 deals with the elementary ideas and results of the so called algebraic formulation of quantum theories in terms of both *-algebras and C*-algebras.

This book should appeal to a dual readership: on one hand mathematicians that wish to acquire the tools that unlock the physical aspects of quantum theories; on the other physicists eager to solidify their understanding of the mathematical scaffolding of quantum theories.

�ber die Autorin bzw. den Autor

Prof. Valter Moretti is Full Professor of Mathematical Physics at the University of Trento (Italy). His research interests include rigorous quantum field theory in curved spacetime, mathematical aspects of quantum mechanics and general relativity, the applications of operator algebras, functional analysis and global analysis to quantum field theory, and mathematical (analytic and geometric) methods for physics.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Anbieterinformationen

Das Unternehmen AHA-BUCH GmbH: Seit der Gr�ndung von AHA-BUCH im Juli 2005 ist unser Hauptziel, zufriedenen Kunden so schnell und so preisg�nstig wie m�glich ihren B�cherwunsch zu erf�llen. Unsere Firma besch�ftigt 16 Mitarbeiter, die nur ein Ziel kennen: den Kunden und seine W�nsche! Auf �ber 3700 m2 Fl�che haben wir �ber 100.000 B�cher, Modernes Antiquariat und Spiele auf Lager.

Zur Homepage des Verk�ufers

Unternehmensdaten des Verk�ufers

AHA-BUCH GmbH
Garlebsen 48, Einbeck, 37574, Germany

Gesch�ftsbedingungen und Versandinformationen

Verkaufsbedingungen

Allgemeine Gesch�ftsbedingungen und Kundeninformationen / Datenschutzerkl�rung

I. Allgemeine Gesch�ftsbedingungen

� 1 Grundlegende Bestimmungen

(1) Die nachstehenden Gesch�ftsbedingungen gelten f�r alle Vertr�ge, die Sie mit uns als Anbieter (AHA-BUCH GmbH) �ber die Internetplattformen AbeBooks und/oder ZVAB schlie�en. Soweit nicht anders vereinbart, wird der Einbeziehung gegebenenfalls von Ihnen verwendeter eigener Bedingungen widersprochen.

(2) Verbraucher im Sinne der nachstehenden Regelungen...

Mehr Information

Widerrufsbelehrung

Versandbedingungen

Wir liefern Lagerartikel innerhalb von 24 Stunden nach Erhalt der Bestellung aus.
Barsortimentsartikel, die wir �ber Nacht geliefert bekommen, am darauffolgenden Werktag.
Unser Ziel ist es Ihnen die Artikel in der �konomischten und effizientesten Weise zu senden.

Versandkosten von Deutschland nach USA

Versandkosten von Deutschland nach USA
Bestellmenge	30 bis 40�Werktage	7 bis 14�Werktage
Erster Artikel	EUR 63.47	EUR 73.47

Die Versandzeiten werden von den Verk�uferinnen und Verk�ufern festgelegt. Sie variieren je nach Versanddienstleister und Standort. Sendungen, die den Zoll passieren, k�nnen Verz�gerungen unterliegen. Eventuell anfallende Abgaben oder Geb�hren sind von der K�uferin bzw. dem K�ufer zu tragen. Die Verk�uferin bzw. der Verk�ufer kann Sie bez�glich zus�tzlicher Versandkosten kontaktieren, um einen m�glichen Anstieg der Versandkosten f�r Ihre Artikel auszugleichen.

Impressum & Info zum Verk�ufer