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The Dirac Equation in Curved Spacetime: A Guide for Calculations, Collas Peter, Klein David


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Автор: Collas Peter, Klein David
Название:  The Dirac Equation in Curved Spacetime: A Guide for Calculations
ISBN: 9783030148249
Издательство: Springer
Классификация:


ISBN-10: 3030148246
Обложка/Формат: Paperback
Страницы: 109
Вес: 0.17 кг.
Дата издания: 22.04.2019
Серия: Springerbriefs in physics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 13 illustrations, color; 1 illustrations, black and white; vi, 109 p. 14 illus., 13 illus. in color.
Размер: 234 x 156 x 6
Читательская аудитория: Professional & vocational
Подзаголовок: A guide for calculations
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
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.

Дополнительное описание:
Introduction.- The Dirac equation in special relativity.- The spinorial covariant derivative.- Examples in (3+1) GR.- The Dirac equation in (1+1) GR.- The Dirac equation in (2+1) GR.- Scalar product.- Appendices.




Semiclassical and Stochastic Gravity: Quantum Field Effects on Curved Spacetime

Автор: Bei-Lok B. Hu, Enric Verdaguer
Название: Semiclassical and Stochastic Gravity: Quantum Field Effects on Curved Spacetime
ISBN: 0521193575 ISBN-13(EAN): 9780521193573
Издательство: Cambridge Academ
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Цена: 29938.00 р.
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Описание: Over the past four decades, physicists have searched for a viable theory of quantum gravity in curved space-time. This book explores two theories: semi-classical gravity theory and stochastic gravity theory. Covering mathematical formalisms and advanced field theory techniques, this is a valuable resource for researchers in quantum field theory.

Cosmological Applications of Algebraic Quantum Field Theory in Curved Spacetimes

Автор: Thomas-Paul Hack
Название: Cosmological Applications of Algebraic Quantum Field Theory in Curved Spacetimes
ISBN: 331921893X ISBN-13(EAN): 9783319218939
Издательство: Springer
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Цена: 6529.00 р.
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Описание: This book provides a largely self-contained and broadly accessible exposition on two cosmological applications of algebraic quantum field theory (QFT) in curved spacetime: a fundamental analysis of the cosmological evolution according to the Standard Model of Cosmology;

Quantum Field Theory on Curved Spacetimes

Автор: Christian B?r; Klaus Fredenhagen
Название: Quantum Field Theory on Curved Spacetimes
ISBN: 3642260519 ISBN-13(EAN): 9783642260513
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This book, Quantum Field Theory on Curved Spacetimes, evolved from 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.

Quantum Field Theory on Curved Spacetimes

Автор: Christian B?r; Klaus Fredenhagen
Название: Quantum Field Theory on Curved Spacetimes
ISBN: 3642027792 ISBN-13(EAN): 9783642027796
Издательство: Springer
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Цена: 8378.00 р.
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Описание: This book, Quantum Field Theory on Curved Spacetimes, evolved from 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.

Relativity and the Nature of Spacetime

Автор: Vesselin Petkov
Название: Relativity and the Nature of Spacetime
ISBN: 3642242359 ISBN-13(EAN): 9783642242359
Издательство: Springer
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Цена: 11099.00 р.
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Описание: This book develops a thorough analysis of relativistic effects to address the question of what is the nature (the ontological status) of spacetime. In this new edition, arguments are strengthened, and new developments in the field are presented and integrated.

Reflections on Spacetime

Автор: Ulrich Majer; Heinz-J?rgen Schmidt
Название: Reflections on Spacetime
ISBN: 9048146127 ISBN-13(EAN): 9789048146123
Издательство: Springer
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Цена: 13275.00 р.
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The Geometry of Minkowski Spacetime

Автор: Gregory L. Naber
Название: The Geometry of Minkowski Spacetime
ISBN: 1493902415 ISBN-13(EAN): 9781493902415
Издательство: Springer
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Цена: 9083.00 р.
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Описание:

This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. It treats, in addition to the usual menu of topics one is accustomed to finding in introductions to special relativity, a wide variety of results of more contemporary origin. These include Zeeman's characterization of the causal automorphisms of Minkowski spacetime, the Penrose theorem on the apparent shape of a relativistically moving sphere, a detailed introduction to the theory of spinors, a Petrov-type classification of electromagnetic fields in both tensor and spinor form, a topology for Minkowski spacetime whose homeomorphism group is essentially the Lorentz group, and a careful discussion of Dirac's famous Scissors Problem and its relation to the notion of a two-valued representation of the Lorentz group. This second edition includes a new chapter on the de Sitter universe which is intended to serve two purposes. The first is to provide a gentle prologue to the steps one must take to move beyond special relativity and adapt to the presence of gravitational fields that cannot be considered negligible. The second is to understand some of the basic features of a model of the empty universe that differs markedly from Minkowski spacetime, but may be recommended by recent astronomical observations suggesting that the expansion of our own universe is accelerating rather than slowing down. The treatment presumes only a knowledge of linear algebra in the first three chapters, a bit of real analysis in the fourth and, in two appendices, some elementary point-set topology.

The first edition of the book received the 1993 CHOICE award for Outstanding Academic Title.

Reviews of first edition:

"... a valuable contribution to the pedagogical literature which will be enjoyed by all who delight in precise mathematics and physics." (American Mathematical Society, 1993)

"Where many physics texts explain physical phenomena by means of mathematical models, here a rigorous and detailed mathematical development is accompanied by precise physical interpretations." (CHOICE, 1993)

"... his talent in choosing the most significant results and ordering them within the book can't be denied. The reading of the book is, really, a pleasure." (Dutch Mathematical Society, 1993)

Special and General Relativity: An Introduction to Spacetime and Gravitation

Автор: Dick Rainer
Название: Special and General Relativity: An Introduction to Spacetime and Gravitation
ISBN: 1643273817 ISBN-13(EAN): 9781643273815
Издательство: Mare Nostrum (Eurospan)
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Цена: 13999.00 р.
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Описание: This book provides a concise introduction to both the special theory of relativity and the general theory of relativity. The format is chosen to provide the basis for a single semester course which can take the students all the way from the foundations of special relativity to the core results of general relativity: the Einstein equation and the equations of motion for particles and light in curved spacetime. To facilitate access to the topics of special and general relativity for science and engineering students without prior training in relativity or geometry, the relevant geometric notions are also introduced and developed from the ground up. Students in physics, mathematics or engineering with an interest to learn Einstein's theories of relativity should be able to use this book already in the second semester of their third year. The book could also be used as the basis of a graduate level introduction to relativity for students who did not learn relativity as part of their undergraduate training.

Effective Spacetime

Автор: Crowther
Название: Effective Spacetime
ISBN: 3319395068 ISBN-13(EAN): 9783319395067
Издательство: Springer
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Цена: 15672.00 р.
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Описание: This book discusses the notion that quantum gravity may represent the 'breakdown' of spacetime at extremely high energy scales. If spacetime does not exist at the fundamental level, then it has to be considered 'emergent', in other words an effective structure, valid at low energy scales. The author develops a conception of emergence appropriate to effective theories in physics, and shows how it applies (or could apply) in various approaches to quantum gravity, including condensed matter approaches, discrete approaches, and loop quantum gravity.

At the Frontier of Spacetime

Автор: Torsten Asselmeyer-Maluga
Название: At the Frontier of Spacetime
ISBN: 3319312979 ISBN-13(EAN): 9783319312972
Издательство: Springer
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Цена: 13555.00 р.
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Описание: In this book, leading theorists present new contributions and reviews addressing longstanding challenges and ongoing progress in spacetime physics.In the anniversary year of Einstein`s General Theory of Relativity, developed 100 years ago, this collection reflects the subsequent and continuing fruitful development of spacetime theories.

Asymptotic Behavior of Mass and Spacetime Geometry

Автор: F. J. Flaherty
Название: Asymptotic Behavior of Mass and Spacetime Geometry
ISBN: 3540133518 ISBN-13(EAN): 9783540133513
Издательство: Springer
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Цена: 15672.00 р.
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The Geometry of Spacetime

Автор: James J. Callahan
Название: The Geometry of Spacetime
ISBN: 1441931422 ISBN-13(EAN): 9781441931429
Издательство: Springer
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Цена: 8487.00 р.
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Описание: Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein`s general relativity theory.


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