عنوان

Non-inertial frames and Dirac observables in relativity /

(Number (ISBN

1108575765

(Number (ISBN

1108691234

(Number (ISBN

9781108575768

(Number (ISBN

9781108691239

Erroneous ISBN

1108480829

Erroneous ISBN

9781108480826

Title Proper

Non-inertial frames and Dirac observables in relativity /

General Material Designation

[Book]

First Statement of Responsibility

Luca Lusanna (National Institute for Nuclear Physics(INFN), Firenze).

Place of Publication, Distribution, etc.

New York, NY :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

2019.

Date of Publication, Distribution, etc.

©2019

Specific Material Designation and Extent of Item

1 online resource

Series Title

Cambridge monographs on mathematical physics

Text of Note

Includes bibliographical references and subject index.

Text of Note

Cover; Half-title; Series information; Title page; Copyright information; Dedication; Contents; Preface; Part I Special Relativity: Minkowski Space-Time; 1 Galilei and Minkowski Space-Times; 1.1 The Galilei Space-Time of Non-Relativistic Physics and Its Inertial and Non-Inertial Frames; 1.2 The Minkowski Space-Time: Inertial Frames, Cartesian Coordinates, Matter, Energy-Momentum Tensor, and Poincaré Generators; 1.3 The 1+3 Approach to Local Non-Inertial Frames and Its Limitations; 2 Global Non-Inertial Frames in Special Relativity

Text of Note

2.1 The 3+1 Approach to Global Non-Inertial Frames and Radar 4-Coordinates2.2 Parametrized Minkowski Theory for Matter Admitting a Lagrangian Description; 3 Relativistic Dynamics and the Relativistic Center of Mass; 3.1 The Wigner-Covariant Rest-Frame Instant Form of Dynamics for Isolated Systems; 3.2 The Relativistic Center-of-Mass Problem; 3.3 The Elimination of Relative Times in Relativistic Systems of Particles and in Relativistic Bound States; 3.4 Wigner-Covariant Quantum Mechanics of Point Particles; 3.5 The Non-Inertial Rest-Frames; 4 Matter in the Rest-Frame Instant Form of Dynamics

Text of Note

4.1 The Klein-Gordon Field4.2 The Electromagnetic Field and Its Dirac Observables; 4.3 Relativistic Atomic Physics; 4.4 The Dirac Field; 4.5 Yang-Mills Fields; 4.6 Relativistic Fluids, Relativistic Micro-Canonical Ensemble, and Steps toward Relativistic Statistical Mechanics; 4.6.1 The Relativistic Perfect Fluid; 4.6.2 The Relativistic Micro-Canonical Ensemble; 4.6.3 Steps towards Relativistic Statistical Mechanics; Part II General Relativity: Globally Hyperbolic Einstein Space-Times; 5 Hamiltonian Gravity in Einstein Space-Times

Text of Note

5.1 Global 3+1 Splittings of Globally Hyperbolic Space-Times without Super-Translations and Asymptotically Minkowskian at Spatial Infinity Admitting a Hamiltonian Formulationof Gravity5.2 The ADM Hamiltonian Formulation of Einstein Gravity and the Asymptotic ADM Poincaré Generators in the Non-Inertial Rest-Frames; 6 ADM Tetrad Gravity and Its Constraints; 6.1 ADM Tetrad Gravity, Its Hamiltonian Formulation, and Its First-Class Constraints; 6.2 The Shanmugadhasan Canonical Transformation to the York Canonical Basis for the Search of the Dirac Observables of the Gravitational Field

Text of Note

6.3 The Non-Harmonic 3-Orthogonal Schwinger Time Gauges and the Metrological Interpretation of the Inertial Gauge Variables6.4 Point Particles and the Electromagnetic Field as Matter; 7 Post-Minkowskian and Post-Newtonian Approximations; 7.1 The Post-Minkowskian Approximation in the 3-Orthogonal Gauges; 7.2 The Post-Newtonian Expansion of the Post-Minkowskian Linearization; 7.3 Dark Matter as a Relativistic Inertial Effect and Relativistic Celestial Metrology; 7.3.1 Masses of Clusters of Galaxies from the Virial Theorem

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Text of Note

Interpreting general relativity relies on a proper description of non-inertial frames and Dirac observables. This book describes global non-inertial frames in special and general relativity. The first part covers special relativity and Minkowski space time, before covering general relativity, globally hyperbolic Einstein space-time, and the application of the 3+1 splitting method to general relativity. The author uses a Hamiltonian description and the Dirac-Bergmann theory of constraints to show that the transition between one non-inertial frame and another is a gauge transformation, extra variables describing the frame are gauge variables, and the measureable matter quantities are gauge invariant Dirac observables. Point particles, fluids and fields are also discussed, including how to treat the problems of relative times in the description of relativistic bound states, and the problem of relativistic centre of mass. Providing a detailed description of mathematical methods, the book is perfect for theoretical physicists, researchers and students working in special and general relativity.

International Standard Book Number

9781108480826

Dirac equation.

General relativity (Physics)

Quantum field theory.

Wave equation.

Dirac equation.

General relativity (Physics)

Quantum field theory.

Wave equation.

Number

Edition

Class number

Book number

Lusanna, L.

Date of Transaction

20200822151305.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y