| Document Type
|
:
|
BL
|
| Record Number
|
:
|
861262
|
| Main Entry
|
:
|
Collas, Peter
|
| Title & Author
|
:
|
The Dirac equation in curved spacetime : : a guide for calculations /\ Peter Collas, David Klein.
|
| Publication Statement
|
:
|
Cham, Switzerland :: Springer,, 2019.
|
| Series Statement
|
:
|
SpringerBriefs in physics,
|
| Page. NO
|
:
|
1 online resource (vi, 109 pages) :: illustrations (some color)
|
| ISBN
|
:
|
3030148254
|
|
|
:
|
: 3030148262
|
|
|
:
|
: 9783030148256
|
|
|
:
|
: 9783030148263
|
|
|
:
|
3030148246
|
|
|
:
|
9783030148249
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references and index.
|
| Contents
|
:
|
Intro; Contents; 1 Introduction; References; 2 The Dirac Equation in Special Relativity; 2.1 Review of the Dirac Equation; 2.2 Plane Wave Solutions in the Standard Representation; 2.3 The Hamiltonian, Energy and Spin Operators; References; 3 The Spinorial Covariant Derivative; 3.1 The Fock-Ivanenko Coefficients; 3.2 The Dirac Hamiltonian in Curved Spacetime; 3.3 Transformation Properties of the Spin Operator; 3.4 The Ricci Rotation Coefficient Approach; 3.5 The Electromagnetic Interaction; 3.6 The Newman-Penrose Formalism; References; 4 Examples in (3+1) GR; 4.1 Schwarzschild Spacetime F-I
|
|
|
:
|
4.2 Schwarzschild Spacetime N-P4.3 Nonfactorizable Metric; 4.4 de Sitter Spacetime, Fermi Coordinates; References; 5 The Dirac Equation in (1+1) GR; 5.1 Introduction to (1+1); 5.2 The Dirac Equation in the Milne Universe; References; 6 The Dirac Equation in (2+1) GR; 6.1 Introduction to (2+1); 6.2 The Dirac Equation in the Schrödinger Universe; References; 7 Scalar Product; 7.1 Conservation of j Special Relativity; 7.2 The Current Density in General Relativity; 7.3 The Scalar Product in Special Relativity; 7.4 The Scalar Product in General Relativity; 7.5 Example: The Closed FRW Universe
|
| Abstract
|
:
|
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.
|
| Subject
|
:
|
Dirac equation.
|
| Subject
|
:
|
Relativistic quantum theory-- Mathematics.
|
| Subject
|
:
|
Dirac equation.
|
| Subject
|
:
|
Quantum Physics.
|
| Subject
|
:
|
Classical and Quantum Gravitation, Relativity Theory.
|
| Subject
|
:
|
Mathematical Methods in Physics.
|
| Dewey Classification
|
:
|
530.1201/51
|
| LC Classification
|
:
|
QC174.45
|
| Added Entry
|
:
|
Klein, David
|