The Dirac Equation In Curved Spacetime PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Dirac Equation In Curved Spacetime PDF full book. Access full book title The Dirac Equation In Curved Spacetime.
Author | : Peter Collas |
Publisher | : |
Total Pages | : 109 |
Release | : 2019 |
Genre | : Dirac equation |
ISBN | : 9783030148263 |
Download The Dirac Equation in Curved Spacetime Book in PDF, ePub and Kindle
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.
Author | : Peter Collas |
Publisher | : Springer |
Total Pages | : 109 |
Release | : 2019-03-21 |
Genre | : Science |
ISBN | : 3030148254 |
Download The Dirac Equation in Curved Spacetime Book in PDF, ePub and Kindle
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.
Author | : Andrew C. Plumb |
Publisher | : |
Total Pages | : 136 |
Release | : 2005 |
Genre | : |
ISBN | : |
Download Semiclassical Methods for Dirac Particles in Curved Spacetime Book in PDF, ePub and Kindle
Author | : Izzet Sakalli |
Publisher | : LAP Lambert Academic Publishing |
Total Pages | : 84 |
Release | : 2011-04 |
Genre | : |
ISBN | : 9783843357166 |
Download Solution of the Dirac Equation in Non-Asymptotically Flat Geometries Book in PDF, ePub and Kindle
The Dirac equation, a relativistic quantum mechanical wave equation invented by Paul Dirac in 1928, originally designed to overcome the negative probability problem arising in the Klein-Gordon's scalar wave equation. The Dirac equation is fully consistent with the principles of quantum mechanics and largely in accordance with the theory of General Relativity. Paul Dirac's original equation can be modified to an advanced form in order to have the behaviors of the fermions in any curved spacetime. In this regard, the pioneering work of the Dirac equation in the asymptotically flat spacetime around a Kerr black hole was done by Nobel laureate Subrahmanyan Chandrasekhar in 976. After Chandrasekhar, progress was made to analyzing the Dirac equation in a non-asymptotically flat geometry, which is now a major focus of attention in Einstein's gravity theory enriched with various fields like Maxwell, Yang-Mills, Born-Infeld etc. Izzet Sakalli, one of the researchers of the Dirac equation, develops and explains some methods about how one separates and solves the Dirac equation in non-asymptotically flat geometry.
Author | : Roland Rüdiger |
Publisher | : |
Total Pages | : 25 |
Release | : 1982 |
Genre | : |
ISBN | : |
Download Separable Systems for the Dirac Equation in Curved Space Times Book in PDF, ePub and Kindle
Author | : Stephen A. Fulling |
Publisher | : Cambridge University Press |
Total Pages | : 332 |
Release | : 1989-08-24 |
Genre | : Mathematics |
ISBN | : 9780521377683 |
Download Aspects of Quantum Field Theory in Curved Spacetime Book in PDF, ePub and Kindle
The theory of quantum fields on curved spacetimes has attracted great attention since the discovery, by Stephen Hawking, of black-hole evaporation. It remains an important subject for the understanding of such contemporary topics as inflationary cosmology, quantum gravity and superstring theory. This book provides, for mathematicians, an introduction to this field of physics in a language and from a viewpoint which such a reader should find congenial. Physicists should also gain from reading this book a sound grasp of various aspects of the theory, some of which have not been particularly emphasised in the existing review literature. The topics covered include normal-mode expansions for a general elliptic operator, Fock space, the Casimir effect, the 'Klein' paradox, particle definition and particle creation in expanding universes, asymptotic expansion of Green's functions and heat kernels, and renormalisation of the stress tensor. The style is pedagogic rather than formal; some knowledge of general relativity and differential geometry is assumed, but the author does supply background material on functional analysis and quantum field theory as required. The book arose from a course taught to graduate students and could be used for self-study or for advanced courses in relativity and quantum field theory.
Author | : N. D. Birrell |
Publisher | : Cambridge University Press |
Total Pages | : 362 |
Release | : 1984-02-23 |
Genre | : Science |
ISBN | : 1107392810 |
Download Quantum Fields in Curved Space Book in PDF, ePub and Kindle
This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe. The last decade has witnessed a phenomenal growth in this subject. This is the first attempt to collect and unify the vast literature that has contributed to this development. All the major technical results are presented, and the theory is developed carefully from first principles. Here is everything that students or researchers will need to embark upon calculations involving quantum effects of gravity at the so-called one-loop approximation level.
Author | : F. G. Friedlander |
Publisher | : Cambridge University Press |
Total Pages | : 298 |
Release | : 1975 |
Genre | : Science |
ISBN | : 0521205670 |
Download The Wave Equation on a Curved Space-Time Book in PDF, ePub and Kindle
This book gives a rigourous discussion of the local effects of curvature on the behaviour of waves. In the course of this discussion many techniques are developed which are also needed for a study of more general problems, in which the gravitational field itself plays a dynamical role.
Author | : Leonard Parker |
Publisher | : Cambridge University Press |
Total Pages | : 472 |
Release | : 2009-08-20 |
Genre | : Science |
ISBN | : 0521877873 |
Download Quantum Field Theory in Curved Spacetime Book in PDF, ePub and Kindle
Suitable for graduate students, this book develops quantum field theory in curved spacetime in a pedagogical style.
Author | : Viatcheslav Mukhanov |
Publisher | : Cambridge University Press |
Total Pages | : 298 |
Release | : 2007-06-14 |
Genre | : Mathematics |
ISBN | : 9780521868341 |
Download Introduction to Quantum Effects in Gravity Book in PDF, ePub and Kindle
Publisher description