Mathematical Quantum Physics

A Foundational Introduction

Gabriele Nunzio Tornetta (Autor)

Buch | Hardcover

XI, 181 Seiten

2022 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-031-14811-8 (ISBN)

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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.

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.

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

"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)

“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)

Erscheinungsdatum	20.10.2022
Zusatzinfo	XI, 181 p. 5 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	419 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Historical Development of Quantum Physics • Mathematics Behind Quantum Physics • Operator Algebraic Approach • Poisson Bracket • quantum field theory • topological vector space
ISBN-10	3-031-14811-8 / 3031148118
ISBN-13	978-3-031-14811-8 / 9783031148118
Zustand	Neuware