Mathematical Quantum Physics (eBook)

A Foundational Introduction

Gabriele Nunzio Tornetta (Autor)

eBook Download: PDF

2022 | 1st ed. 2022
XI, 181 Seiten
Springer International Publishing (Verlag)
978-3-031-14812-5 (ISBN)

Infos

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.

 

Produkt-Details

• Erscheint lt. Verlag: 18.10.2022
• Zusatzinfo: XI, 181 p. 5 illus.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: 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: 3-031-14812-6 / 3031148126
• ISBN-13: 978-3-031-14812-5 / 9783031148125