Quantum Mechanics In Curved Space Time PDF Download
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| Author | : Jurgen Audretsch |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 555 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461538149 |
Download Quantum Mechanics in Curved Space-Time Book in PDF, ePub and Kindle
Quantum mechanics and quantum field theory on one hand and Gravity as a theory of curved space-time on the other are the two great conc- tual schemes of modern theoretical physics. For many decades they have lived peacefully together for a simple reason: it was a coexistence wi- out much interaction. There has been the family of relativists and the other family of elementary particle physicists and both sides have been convinced that their problems have not very much to do with the problems of the respective other side. This was a situation which could not last forever, because the two theoretical schemes have a particular structural trait in common: their claim for totality and universality. Namely on one hand all physical theories have to be formulated in a quantum mechanical manner, and on the other hand gravity as curved space-time influences all processes and vice versa. It was therefore only a question of time that physically relevant domains of application would attract a general int- est, which demand a combined application of both theoretical schemes. But it is immediately obvious that such an application of both schemes is - possible if the schemes are taken as they are. Something new is needed which reconciles gravity and quantum mechanics. During the last two de- des we are now doing the first steps towards this more general theory and we are confronted with fundamental difficulties.
| 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 | : 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 | : Robert M. Wald |
| Publisher | : University of Chicago Press |
| Total Pages | : 221 |
| Release | : 1994-11-15 |
| Genre | : Science |
| ISBN | : 0226870278 |
Download Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics Book in PDF, ePub and Kindle
In this book, Robert Wald provides a coherent, pedagogical introduction to the formulation of quantum field theory in curved spacetime. He begins with a treatment of the ordinary one-dimensional quantum harmonic oscillator, progresses through the construction of quantum field theory in flat spacetime to possible constructions of quantum field theory in curved spacetime, and, ultimately, to an algebraic formulation of the theory. In his presentation, Wald disentangles essential features of the theory from inessential ones (such as a particle interpretation) and clarifies relationships between various approaches to the formulation of the theory. He also provides a comprehensive, up-to-date account of the Unruh effect, the Hawking effect, and some of its ramifications. In particular, the subject of black hole thermodynamics, which remains an active area of research, is treated in depth. This book will be accessible to students and researchers who have had introductory courses in general relativity and quantum field theory, and will be of interest to scientists in general relativity and related fields.
| Author | : James Lindesay |
| Publisher | : Cambridge University Press |
| Total Pages | : 419 |
| Release | : 2013-05-16 |
| Genre | : Science |
| ISBN | : 1107328306 |
Download Foundations of Quantum Gravity Book in PDF, ePub and Kindle
Exploring how the subtleties of quantum coherence can be consistently incorporated into Einstein's theory of gravitation, this book is ideal for researchers interested in the foundations of relativity and quantum physics. The book examines those properties of coherent gravitating systems that are most closely connected to experimental observations. Examples of consistent co-gravitating quantum systems whose overall effects upon the geometry are independent of the coherence state of each constituent are provided, and the properties of the trapping regions of non-singular black objects, black holes and a dynamic de Sitter cosmology are discussed analytically, numerically and diagrammatically. The extensive use of diagrams to summarise the results of the mathematics enables readers to bypass the need for a detailed understanding of the steps involved. Assuming some knowledge of quantum physics and relativity, the book provides text boxes featuring supplementary information for readers particularly interested in the philosophy and foundations of the physics.
| 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
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| 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 | : Christian Bär |
| Publisher | : Springer |
| Total Pages | : 167 |
| Release | : 2009-09-18 |
| Genre | : Science |
| ISBN | : 3642027806 |
Download Quantum Field Theory on Curved Spacetimes Book in PDF, ePub and Kindle
After some decades of work a satisfactory theory of quantum gravity is still not available; moreover, there are indications that the original field theoretical approach may be better suited than originally expected. There, to first approximation, one is left with the problem of quantum field theory on Lorentzian manifolds. Surprisingly, this seemingly modest approach leads to far reaching conceptual and mathematical problems and to spectacular predictions, the most famous one being the Hawking radiation of black holes. Ingredients of this approach are the formulation of quantum physics in terms of C*-algebras, the geometry of Lorentzian manifolds, in particular their causal structure, and linear hyperbolic differential equations where the well-posedness of the Cauchy problem plays a distinguished role, as well as more recently the insights from suitable concepts such as microlocal analysis. This primer is an outgrowth of a compact course given by the editors and contributing authors to an audience of advanced graduate students and young researchers in the field, and assumes working knowledge of differential geometry and functional analysis on the part of the reader.
| Author | : N. D. Birrell |
| Publisher | : Cambridge University Press |
| Total Pages | : 362 |
| Release | : 1984-02-23 |
| Genre | : Science |
| ISBN | : 9780521278584 |
Download Quantum Fields in Curved Space Book in PDF, ePub and Kindle
Identifies information sources and shows how to develop a job search strategy. Gives valuable advice on job interviews and on how a new employee can keep his job.
| Author | : Fiorenzo Bastianelli |
| Publisher | : Cambridge University Press |
| Total Pages | : 47 |
| Release | : 2006-07-20 |
| Genre | : Science |
| ISBN | : 1139456849 |
Download Path Integrals and Anomalies in Curved Space Book in PDF, ePub and Kindle
This book introduces path integrals, a powerful method for describing quantum phenomena, and then uses them to compute anomalies in quantum field theories. An advanced text for researchers and graduate students of quantum field theory and string theory, it also provides a stand-alone introduction to path integrals in quantum mechanics.
