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The Quantization of Gravity, Claus Gerhardt


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Автор: Claus Gerhardt
Название:  The Quantization of Gravity
ISBN: 9783030084417
Издательство: Springer
Классификация:




ISBN-10: 3030084418
Обложка/Формат: Soft cover
Страницы: 200
Вес: 0.34 кг.
Дата издания: 2018
Серия: Fundamental Theories of Physics
Язык: English
Издание: Softcover reprint of
Иллюстрации: XII, 200 p.
Размер: 236 x 211 x 10
Читательская аудитория: Professional & vocational
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: ?A unified quantum theory incorporating the four fundamental forces of nature is one of the major open problems in physics. The Standard Model combines electro-magnetism, the strong force and the weak force, but ignores gravity. The quantization of gravity is therefore a necessary first step to achieve a unified quantum theory. In this monograph a canonical quantization of gravity has been achieved by quantizing a geometric evolution equation resulting in a gravitational wave equation in a globally hyperbolic spacetime. Applying the technique of separation of variables we obtain eigenvalue problems for temporal and spatial self-adjoint operators where the temporal operator has a pure point spectrum with eigenvalues $\lambda_i$ and related eigenfunctions, while, for the spatial operator, it is possible to find corresponding eigendistributions for each of the eigenvalues $\lambda_i$, if the Cauchy hypersurface is asymptotically Euclidean or if the quantized spacetime is a black hole with a negative cosmological constant. The hyperbolic equation then has a sequence of smooth solutions which are products of temporal eigenfunctions and spatial eigendistributions. Due to this spectral resolution of the wave equation quantum statistics can also be applied to the quantized systems. These quantum statistical results could help to explain the nature of dark matter and dark energy.
Дополнительное описание: The quantization of a globally hyperbolic spacetime.- Interaction of gravity with Yang-Mills and Higgs fields.- The quantum development of an asymptotically Euclidean Cauchy hypersurface.- The quantization of a Schwarzschild-AdS black hole.- The quantizat



Enhanced Quantization: Particles, Fields & Gravity

Автор: Klauder John R
Название: Enhanced Quantization: Particles, Fields & Gravity
ISBN: 9814644625 ISBN-13(EAN): 9789814644624
Издательство: World Scientific Publishing
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Описание: This pioneering book addresses the question: Are the standard procedures of canonical quantization fully satisfactory, or is there more to learn about assigning a proper quantum system to a given classical system? As shown in this book, the answer to this question is: The standard procedures of canonical quantization are not the whole story!

Stochastic Quantization

Автор: Mikio Namiki; I. Ohba; K. Okano; Y. Yamanaka; A.K.
Название: Stochastic Quantization
ISBN: 3662138808 ISBN-13(EAN): 9783662138809
Издательство: Springer
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Цена: 13060.00 р.
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Описание: The Parisi-Wu stochastic quantization method gives quantum mechanics as the thermal-equilibrium limit of a hypothetical stochastic process with respect to some fictitious time other than ordinary time. I believe that the stochastic quantization method has the potential to extend the territory of quantum mechanics and of quantum field theory.

Neutrino Mass, Dark Matter, Gravitational Waves, Monopole Condensation, and Light Cone Quantization

Автор: Behram N. Kursunogammalu; Stephan L. Mintz; Arnold
Название: Neutrino Mass, Dark Matter, Gravitational Waves, Monopole Condensation, and Light Cone Quantization
ISBN: 1489915664 ISBN-13(EAN): 9781489915665
Издательство: Springer
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Цена: 26122.00 р.
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Описание: Proceedings of the International Conference on Orbis Scientiac 1996 held in Miami Beach, Florida, January 25-28, 1996

Geometry, Topology and Quantization

Автор: P. Bandyopadhyay
Название: Geometry, Topology and Quantization
ISBN: 940106282X ISBN-13(EAN): 9789401062824
Издательство: Springer
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Описание: This is a monograph on geometrical and topological features which arise in various quantization procedures. When this internal space variable is considered as a direc- tion vector introducing an anisotropy in the internal space, we have the quantization of a Fermi field.

Charge Quantization and Kondo Quantum Criticality in Few-Channel Mesoscopic Circuits

Автор: Iftikhar
Название: Charge Quantization and Kondo Quantum Criticality in Few-Channel Mesoscopic Circuits
ISBN: 3319946846 ISBN-13(EAN): 9783319946849
Издательство: Springer
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Цена: 13974.00 р.
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Описание: We demonstrate the charge quantization criterion, observe the predicted charge quantization scaling and a crossover toward a universal behavior as temperature is increased.The second set of experiments addresses the unconventional quantum critical physics that arises in the multichannel Kondo model.

Quantization of Fields with Constraints

Автор: Dmitri Gitman; Igor V. Tyutin
Название: Quantization of Fields with Constraints
ISBN: 3642839401 ISBN-13(EAN): 9783642839405
Издательство: Springer
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Описание: Gauge field theories underlie all models now used in elementary particle physics. These theories refer to the class of singular theories which are also theories with constraints. The quantization of singular theories remains one of the key problems of quantum field theory and is being intensively discussed in the literature. This book is an attempt to fill the need for a comprehensive analysis of this problem, which has not heretofore been met by the available monographs and reviews. The main topics are canonical quantization and the path integral method. In addition, the Lagrangian BRST quantization is completely described, for the first time in a monograph. The book also presents a number of original results obtained by the authors, in particular, a complete description of the physical sector of an arbitrary gauge theory, quantization of singular theories with higher theories with time-dependent constraints, and correct derivatives, quantization of canonical quantization of theories of a relativistic point-like particle. As a general illustration we present quantization of field theories such as electrodynamics, Yang-Mills theory, and gravity. It should be noted that this monograph is aimed not only at giving the reader the rules of quantization according to the principle "if you do it this way, it will be good", but also at presenting strong arguments based on the modem interpretation of the classical and quantum theories which show that these methods- are the natural, if not the only possible ones.

Quantization on nilpotent lie groups

Автор: Fischer, Veronique Ruzhansky, Michael V.
Название: Quantization on nilpotent lie groups
ISBN: 3319295578 ISBN-13(EAN): 9783319295572
Издательство: Springer
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Описание: This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations.

Introduction to Quantum Mechanics 2: Wave–Corpuscle, Quantization and Schrodinger?s Equation

Автор: Ibrahima Sakho
Название: Introduction to Quantum Mechanics 2: Wave–Corpuscle, Quantization and Schrodinger?s Equation
ISBN: 1786305011 ISBN-13(EAN): 9781786305015
Издательство: Wiley
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Цена: 22010.00 р.
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Описание:

Quantum mechanics is the foundation of modern technology, due to its innumerable applications in physics, chemistry and even biology.

This second volume studies Schr?dingers equation and its applications in the study of wells, steps and potential barriers. It examines the properties of orthonormal bases in the space of square-summable wave functions and Dirac notations in the space of states.

This book has a special focus on the notions of the linear operators, the Hermitian operators, observables, Hermitian conjugation, commutators and the representation of kets, bras and operators in the space of states. The eigenvalue equation, the characteristic equation and the evolution equation of the mean value of an observable are introduced. The book goes on to investigate the study of conservative systems through the time evolution operator and Ehrenfests theorem.

Finally, this second volume is completed by the introduction of the notions of quantum wire, quantum wells of semiconductor materials and quantum dots in the appendices.

Geometric Quantization and Quantum Mechanics

Автор: Jedrzej Sniatycki
Название: Geometric Quantization and Quantum Mechanics
ISBN: 0387904697 ISBN-13(EAN): 9780387904696
Издательство: Springer
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Описание: The aim of the seminars was to present geometric quantization from the point of view* of its applica- tions to quantum mechanics, and to introduce the quantum dynamics of various physical systems as the result of the geometric quantization of the classical dynamics of these systems.

Quantization, PDEs, and Geometry

Автор: Dorothea Bahns; Wolfram Bauer; Ingo Witt
Название: Quantization, PDEs, and Geometry
ISBN: 3319224069 ISBN-13(EAN): 9783319224060
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book presents four survey articles on different topics in mathematical analysis that are closely linked to concepts and applications in physics.

Born-Jordan Quantization

Автор: Maurice A. de Gosson
Название: Born-Jordan Quantization
ISBN: 3319279009 ISBN-13(EAN): 9783319279008
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This book presents a comprehensive mathematical study of the operators behind the Born-Jordan quantization scheme. Thus, Born-Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists.

Gauge Invariance and Weyl-polymer Quantization

Автор: Franco Strocchi
Название: Gauge Invariance and Weyl-polymer Quantization
ISBN: 3319176943 ISBN-13(EAN): 9783319176949
Издательство: Springer
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Цена: 4890.00 р.
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Описание:

Introduction.- Heisenberg quantization and Weyl quantization.- Delocalization, gauge invariance and non-regular representations.- Quantum mechanical gauge models.- Non-regular representations in quantum field theory.- Diffeomorphism invariance and Weyl polymer quantization.- A generalization of Stone-von Neumann theorem.- Bibliography.- Index.


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