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Mathematical Quantum Physics: A Foundational Introduction de Gabriele Nunzio Tornetta

Mathematical Quantum Physics: A Foundational Introduction

Autor Gabriele Nunzio Tornetta
en Limba Engleză Paperback – 20 oct 2023
This book provides the rigorous mathematical foundations of Quantum Physics, from the operational meaning of the measuring process to the most recent theories for the quantum scale of space-time geometry. Topics like relativistic invariance, quantum systems with finite and infinitely many degrees of freedom, second quantisation, scattering theory, are all presented through the formalism of Operator Algebras for a precise mathematical justification.
The book is targeted to graduate students and researchers in the area of theoretical/mathematical physics who want to learn about the mathematical foundations of quantum physics, as well as the mathematics students and researchers in the area of operator algebras/functional analysis who want to dive into some of the applications of the theory to physics. 
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Specificații

ISBN-13: 9783031148149
ISBN-10: 3031148142
Pagini: 181
Ilustrații: XI, 181 p. 5 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.28 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Cuprins

The Basic Postulates.- Relativistic Invariance.- Quantum Mechanics.- Quantum Field Theory.- Further Topics.

Recenzii

“The book is written in a nice style. It is meant for mathematicians with a knowledge of quantum mechanics or theoretical physicists with good skills in functional analysis.” (Marek Nowakowski, Mathematical Reviews, October, 2023)

Notă biografică

Gabriele Nunzio Tornetta is a theoretical physicist who has worked on algebraic quantum field theory and the theory of classification of C*-algebras. His research work included DFR models for non-commutative space-time and bivariant structures for the classification of nuclear C*-algebras. He is also the author of publications in the area of machine learning. After his PhD in Pure Mathematics at the University of Glasgow, Dr Tornetta now works within the open-source software community, contributing to projects like CPython, among others.
 

Textul de pe ultima copertă

This book provides the rigorous mathematical foundations of Quantum Physics, from the operational meaning of the measuring process to the most recent theories for the quantum scale of space-time geometry. Topics like relativistic invariance, quantum systems with finite and infinitely many degrees of freedom, second quantisation, scattering theory, are all presented through the formalism of Operator Algebras for a precise mathematical justification.
The book is targeted to graduate students and researchers in the area of theoretical/mathematical physics who want to learn about the mathematical foundations of quantum physics, as well as the mathematics students and researchers in the area of operator algebras/functional analysis who want to dive into some of the applications of the theory to physics. 

Caracteristici

Aims to bridge the gap between physics and mathematics textbooks Gives an overview and a discussion of algebraic quantum field theory as it developed historically Provides a reference to the current state-of-the-art in local quantum physics