Screen LibraryThe Dirac equation in curved spacetime : a guide for calculations /
Saved in:
| Main Authors: | |
|---|---|
| Group Author: | |
| Published: |
Springer,
|
| Publisher Address: | Cham, Switzerland : |
| Publication Dates: | [2019] |
| Literature type: | Book |
| Language: | English |
| Series: |
SpringerBriefs in physics,
|
| Subjects: | |
| Carrier Form: | vi, 109 pages : illustrations (some color) ; 24 cm. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
9783030148249 (paperback) : 3030148246 (paperback) |
| Index Number: | QC174 |
| CLC: | O413.1 |
| Call Number: | O413.1/C697-1 |
| Contents: |
1 Introduction -- 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 -- 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 -- 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 -- 5 The Dirac equation in (1+1) GR; 5.1 Introduction to (1+1); 5.2 The Dirac equation in the Milne universe -- 6 The Dirac equation in (2+1) GR; 6.1 Introduction to (2+1); 6.2 The Dirac equation in the Schrödinger universe -- 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. |