The Dirac Equation in Curved Spacetime
A Guide for Calculations
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Beschreibung
This book explains and develops the Dirac equation in the context of general relativistic quantum mechanics in a range of spacetime dimensions. It clarifies the subject by carefully pointing out the various conventions used and explaining how they are related to each other. The prerequisites are familiarity with general relativity and an exposure to the Dirac equation at the level of special relativistic quantum mechanics, but a review of this latter topic is given in the first chapter as a reference and framework for the physical interpretations that follow. Worked examples and exercises with solutions are provided. Appendices include reviews of topics used in the body of the text. This book should benefit researchers and graduate students in general relativity and in condensed matter.
Many different approaches to calculate the Dirac equation in curved spacetime are fully discussed The text is supported with several preparatory exercises and solutions Some computational applications performed with the CARTAN software package are illustrated
Autor*in
Peter Collas
Themen in »The Dirac Equation in Curved Spacetime«
Dirac Equation in Special Relativity Dirac Equation in General Relativity Gamma Matrices Spinorial Covariant Derivative CARTAN software Dirac Equation and curved graphene Fock-Ivanenko coefficients Newman-Penrose spin coefficients
Stimmen zu »The Dirac Equation in Curved Spacetime«
“Ultimately, this short monograph will be of interest as a quick guide to researchers who need a notation reference, well organized overview of the literature, or an introduction to the subject, looking for connection with their own field; also for graduate students who are looking for a bird's eye view or need help with determining the learning path. It must be added that students especially will appreciate that the authors provide solutions to the exercises.” (Tomasz Artur Stachowiak, Mathematical Reviews, December, 2019)
“The book represents a very useful tool for graduate students and beginning researchers in a large area of the theory and applications of the Dirac equation. It can be useful for all the stages of learning: from the initial acknowledgement to deep investigations. … The book will be very useful to everybody desiring to make an economy with special articles from various journals.” (Alex B. Gaina, zbMath 1416.81003, 2019)
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