Special relativity:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer International Publishing Switzerland
2013
|
| Schriftenreihe: | Undergraduate lecture notes in physics
|
| Schlagworte: | |
| Online-Zugang: | TUM01 UBT01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783319011073 |
| DOI: | 10.1007/978-3-319-01107-3 |
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Datensatz im Suchindex
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|---|---|
| adam_text | SPECIAL RELATIVITY
/ FARAONI, VALERIO
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
FUNDAMENTALS OF SPECIAL RELATIVITY
INTRODUCTION
THE PRINCIPLE OF RELATIVITY.-GROUPS—THE GALILEI GROUP.-GALILEIAN
LAW OF ADDITION OF VELOCITIES.-THE LESSON FROM ELECTROMAGNETISM.-THE
POSTULATES OF SPECIAL RELATIVITY.-CONSEQUENCES OF THE
POSTULATES.-CONCLUSION
PROBLEMS.-THE LORENTZ TRANSFORMATION.-INTRODUCTION.-THE LORENTZ
TRANSFORMATION.-DERIVATION OF THE LORENTZ TRANSFORMATION
MATHEMATICAL PROPERTIES OF THE LORENTZ TRANSFORMATION.-ABSOLUTE SPEED
LIMIT AND CAUSALITY.-LENGTH CONTRACTION FROM THE LORENTZ
TRANSFORMATION.-TIME DILATION FROM THE LORENTZ
TRANSFORMATION.-TRANSFORMATION OF VELOCITIES AND ACCELERATIONS IN
SPECIAL RELATIVITY.-MATRIX REPRESENTATION OF THE LORENTZ
TRANSFORMATION.-THE LORENTZ GROUP.-THE LORENTZ TRANSFORMATION AS A
ROTATION BY AN IMAGINARY ANGLE WITH IMAGINARY TIME.-THE GPS
SYSTEM.-CONCLUSION.-PROBLEMS.-THE 4-DIMENSIONAL WORLD
VIEW.-INTRODUCTION.-THE 4-DIMENSIONAL WORLD.-SPACETIME
DIAGRAMS.-CONCLUSION
PROBLEMS.-THE FORMALISM OF TENSORS.-INTRODUCTION.-VECTORS AND
TENSORS.-CONTRAVARIANT AND COVARIANT VECTORS.-CONTRAVARIANT AND
COVARIANT TENSORS.-TENSOR ALGEBRA.-TENSOR FIELDS.-INDEX-FREE
DESCRIPTION OF TENSORS.-THE METRIC TENSOR.-THE LEVI-CIVITA SYMBOL
AND TENSOR DENSITIES
CONCLUSION
PROBLEMS.-TENSORS IN MINKOWSKI SPACETIME.-INTRODUCTION.-VECTORS
AND TENSORS IN MINKOWSKI SPACETIME.-THE MINKOWSKI METRIC.-SCALAR
PRODUCT AND LENGTH OF A VECTOR IN MINKOWSKI SPACETIME.-RAISING AND
LOWERING TENSOR INDICES.-CAUSAL NATURE OF
4-VECTORS.-HYPERSURFACES.-GAUSS’ THEOREM.-CONCLUSION
PROBLEMS.-RELATIVISTIC MECHANICS.-INTRODUCTION.-RELATIVISTIC
DYNAMICS OF MASSIVE PARTICLES.-THE RELATIVISTIC FORCE.-ANGULAR
MOMENTUM OF A PARTICLE.-PARTICLE SYSTEMS.-CONSERVATION OF
MASS-ENERGY.-CONCLUSION
PROBLEMS.-RELATIVISTIC OPTICS.-INTRODUCTION.-RELATIVISTIC OPTICS:
NULL RAYS.-THE DRAG EFFECT.-THE DOPPLER
EFFECT.-ABERRATION.-RELATIVISTIC BEAMING.-VISUAL APPEARANCE OF
EXTENDED OBJECTS.-CONCLUSION
PROBLEMS.-MEASUREMENTS IN MINKOWSKI
SPACETIME.-INTRODUCTION.-ENERGY OF A PARTICLE MEASURED BY AN
OBSERVER.-FREQUENCY MEASURED BY AN OBSERVER.-A MORE SYSTEMATIC
TREATMENT OF MEASUREMENT.-THE 3+1 SPLITTING.-CONCLUSION
PROBLEMS.-MATTER IN MINKOWSKI SPACETIME
INTRODUCTION
THE ENERGY-MOMENTUM TENSOR
COVARIANT CONSERVATION
ENERGY CONDITIONS
ANGULAR MOMENTUM
PERFECT FLUIDS
THE SCALAR FIELD
THE ELECTROMAGNETIC FIELD
CONCLUSION
PROBLEMS
SPECIAL RELATIVITY IN ARBITRARY COORDINATES
INTRODUCTION
THE COVARIANT DERIVATIVE
SPACETIME CURVES AND COVARIANT DERIVATIVE
PHYSICS IN MINKOWSKI SPACETIME REVISITED.-CONCLUSIONS
PROBLEMS
SOLUTIONS TO SELECTED PROBLEMS
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
SPECIAL RELATIVITY
/ FARAONI, VALERIO
: 2013
ABSTRACT / INHALTSTEXT
THIS BOOK OFFERS AN ESSENTIAL BRIDGE BETWEEN COLLEGE-LEVEL INTRODUCTIONS
AND ADVANCED GRADUATE-LEVEL BOOKS ON SPECIAL RELATIVITY. IT BEGINS AT AN
ELEMENTARY LEVEL, PRESENTING AND DISCUSSING THE BASIC CONCEPTS NORMALLY
COVERED IN COLLEGE-LEVEL WORKS, INCLUDING THE LORENTZ TRANSFORMATION.
SUBSEQUENT CHAPTERS INTRODUCE THE FOUR-DIMENSIONAL WORLDVIEW IMPLIED BY
THE LORENTZ TRANSFORMATIONS, MIXING TIME AND SPACE COORDINATES, BEFORE
CONTINUING ON TO THE FORMALISM OF TENSORS, A TOPIC USUALLY AVOIDED IN
LOWER-LEVEL COURSES. THE BOOK’S SECOND HALF ADDRESSES A NUMBER OF
ESSENTIAL POINTS, INCLUDING THE CONCEPT OF CAUSALITY; THE EQUIVALENCE
BETWEEN MASS AND ENERGY, INCLUDING APPLICATIONS; RELATIVISTIC OPTICS;
AND MEASUREMENTS AND MATTER IN MINKOWSKI SPACETIME. THE CLOSING CHAPTERS
FOCUS ON THE ENERGY-MOMENTUM TENSOR OF A CONTINUOUS DISTRIBUTION OF
MASS-ENERGY AND ITS COVARIANT CONSERVATION; ANGULAR MOMENTUM; A
DISCUSSION OF THE SCALAR FIELD OF PERFECT FLUIDS AND THE MAXWELL FIELD;
AND GENERAL COORDINATES. EVERY CHAPTER IS SUPPLEMENTED BY A SECTION WITH
NUMEROUS EXERCISES, ALLOWING READERS TO PRACTICE THE THEORY. THESE
EXERCISES CONSTITUTE AN ESSENTIAL PART OF THE TEXTBOOK, AND THE
SOLUTIONS TO APPROXIMATELY HALF OF THEM ARE PROVIDED IN THE APPENDIX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| spelling | Faraoni, Valerio Verfasser (DE-588)136483240 aut Special relativity Valerio Faraoni Cham [u.a.] Springer International Publishing Switzerland 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Undergraduate lecture notes in physics Physics Erscheint auch als Druckausgabe 978-3-319-01106-6 https://doi.org/10.1007/978-3-319-01107-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026242493&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026242493&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Faraoni, Valerio Special relativity Physics |
| title | Special relativity |
| title_auth | Special relativity |
| title_exact_search | Special relativity |
| title_full | Special relativity Valerio Faraoni |
| title_fullStr | Special relativity Valerio Faraoni |
| title_full_unstemmed | Special relativity Valerio Faraoni |
| title_short | Special relativity |
| title_sort | special relativity |
| topic | Physics |
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