Special relativity and how it works:
Based on his successful work Special Relativity and Motions Faster than Light, Moses Fayngold has written a thorough presentation of the special theory of relativity. The unique feature of the textbook is its two-leveled structure helping students to master the material more effectively: the first l...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Weinheim
WILEY-VCH
2008
|
| Schriftenreihe: | Physics textbook
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltstext Inhaltsverzeichnis |
| Zusammenfassung: | Based on his successful work Special Relativity and Motions Faster than Light, Moses Fayngold has written a thorough presentation of the special theory of relativity. The unique feature of the textbook is its two-leveled structure helping students to master the material more effectively: the first level presents a qualitative discussion of a problem, while the second one contains its rigorous treatment. Fayngold points out the connection between fundamental principles and known phenomena. In three new chapters on 'Relativity at Work' (Electromagnetism, Optics, Quantum Mechanics), he not only shows what relativity is, but also how it works. The scope of new material extends to include a chapter on Causality and on Applied Relativity, including astrophysical and accelerator topics. |
| Beschreibung: | XVI, 652 S. Ill., graph. Darst. |
| ISBN: | 9783527406074 3527406077 |
Internformat
MARC
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| 300 | |a XVI, 652 S. |b Ill., graph. Darst. | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Physics textbook | |
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Datensatz im Suchindex
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| adam_text |
IX
Contents
Preface XIII
Ί
Introduction
1
1.1
The Meaning of Relativity
1
1.2
Weirdness of Light
10
1.3
A Steamer in the Stream
12
Problems
15
2
Light and Relativity
17
2.1
The Michelson Experiment
17
2.2
The Speed of Light and the Principle of Relativity
22
2.3
"Obvious" Does Not Always Mean "True!"
24
2.4
Light Determines Simultaneity
25
2.5
Light, Times, and Distances
29
2.6
The
Lorentz
Transformations
32
2.7
The Relativity of Simultaneity
38
2.8
A Proper Length and a Proper Time
41
Problems
43
3
The Velocities' Play
47
3.1
The Addition of Collinear Velocities
47
3.2
The Addition of Arbitrarily Directed Velocities
50
3.3
The Velocities' Play
53
3.4
Observable Manifestations
56
3.4.1
The Fizeau Experiment
56
3.4.2
Aberration of light
60
Problems
62
4
Space-Time
65
4.1
Minkowski's World
65
4.2
Rotations in Space-Time (Representation in Euclidean Plane)
73
Contents
4.3
Lorentz
Transformations as Rotations
81
4.4
What is Horizontal and What is Vertical?
87
4.5
General
Lorentz
Transformations
99
4.6
The Path Integrals
103
47 4-
Vectors and Tensors
106
Problems
120
5
Relativity at Work I: Mechanics
125
5.1
4-Velocity
125
5.2
4-Acceleration
130
5.3
4-Momentum
132
5.4
Relativistic Angular Momentum
137
5.5
Force and Motion
141
5.6
Mass and Energy
151
5.7
Mechanics From the Least Action
170
5.8
Relativistic Motion in Coulomb's Field
176
Problems
185
6
Relativity at Work II: Electromagnetism and Optics
191
6.1
Electric Field and Something Else (The Origin
of Magnetic Field)
191
6.2
Magnetic Field and Something Else
. 205
6.3
Is Electric Charge Invariant? (The Subtleties of "Neutrality")
209
6.4
Maxwell's Equations
218
6.5
Lenz's Law
225
6.6
4-Potential, Gauge Transformations,
and Gauge
Invariance
228
6.7
Electrodynamics and The Principle of the Least Action
233
6.8
Electrodynamics in Tensor Notations
239
6.9
Running Waves
244
6.10
The Relativistic
Doppler
Effect I
247
6.11
The Origin of Light
248
6.12
Aberration of light
- 2 252
6.13
Why Do Droplets Sparkle? Or Can We Trap the light
in a Droplet?
256
Problems
263
7
Relativistic Paradoxes
267
7.1
Seeing and Observing (on the Appearance
of Fast-Moving Objects)
267
7.2
Can We See the Relativistic Length Contraction?
273
7.3
The
Lorentz
Contraction Paradox
280
7.4
Predicaments of Relativistic Train
283
7.5
The Dynamics of Relativistic Length Contraction
298
Contents
XI
7.6
The Conveyor Belt Paradox
317
7.7
What is Rigid in Relativity? (What Constitutes
Deformation?)
323
7.8
The Twin Paradox
334
7.9
The Three Friends' Paradox
344
Problems
348
8
Miracles of a Spinning World
351
8.1
The
Ehrenfest
Paradox
351
8.2
Circumnavigations with the Atomic Clocks
365
8.3
Surprises of the Rotland
375
8.4
Photons' Races in a Centrifuge
376
8.5
The Thomas Precession
387
Problems
394
9
Theory of Relativity is the Theory of Absoluteness
397
9.1
What Is Relative and What Is Absolute
397
9.2
The Speed of Light and the Invariant Speed
398
9.3
Space-Time Intervals
403
9.4
Relativistic
Doppler
Effect II
407
9.5
Relative Is Real
413
Problems
422
TO Relativity at Work III: Quantum Mechanics
425
10.1
Basic Ideas of Quantum Mechanics
425
10.2
Relativistic QM Indeterminacy
454
10.3
Relativistic Wave Equations
461
10.3.1
The Klein-Gordon Equation
461
10.3.2
Dirac's Equation
469
10.4
Relativistic
Doppler
Effect III: A Child of Relativity
and Quantum Mechanics
477
10.5
Field-Particle Interactions: The Compton Effect
482
Problems
493
ΤΤ
Relativity and Causality
497
11.1
Space-Time and Causality
497
11.2
Tachyons and Tardyons
500
11.3
The
Tolman
Paradox
509
11.4
Tachyons and Causality
516
11.5
Wave Packet Propagation and Position Measurements
523
11.6
Superluminal Quantum Tunneling
527
11.7
Wave Front Propagation
537
11.8
What Constitutes a Signal?
541
11.9
Direct Signaling Into the Past
550
XII Contents
11.10
The Mystery of Quantum Telecommunication
558
11.11
The "No Cloning" Theorem
564
Problems
569
12
Applied Relativity
571
12.1
Relativistic Jet Propulsion: A "Star Trek" Cruiser
571
12.2
Principles of Design and Functioning of Particle Accelerators
580
Problems
593
13
A Bit of General Relativity
595
13.1
Basic Ideas of GR
595
13.2
Kinematics of GR
603
Appendix A State Function and the Continuity Equation
615
Appendix
В
Representation of
Observables
by Operators
617
Appendix
С
The
Pauli
Matrices
619
Appendix
D
Dimensionality of Dirac's Matrices
621
Appendix
E
Optical Barriers for a Photon
623
Appendix
F
Cause and Effect
627
Appendix
С
Permittivity and Refractive Index
637
References
643
Index
647 |
| adam_txt |
IX
Contents
Preface XIII
Ί
Introduction
1
1.1
The Meaning of Relativity
1
1.2
Weirdness of Light
10
1.3
A Steamer in the Stream
12
Problems
15
2
Light and Relativity
17
2.1
The Michelson Experiment
17
2.2
The Speed of Light and the Principle of Relativity
22
2.3
"Obvious" Does Not Always Mean "True!"
24
2.4
Light Determines Simultaneity
25
2.5
Light, Times, and Distances
29
2.6
The
Lorentz
Transformations
32
2.7
The Relativity of Simultaneity
38
2.8
A Proper Length and a Proper Time
41
Problems
43
3
The Velocities' Play
47
3.1
The Addition of Collinear Velocities
47
3.2
The Addition of Arbitrarily Directed Velocities
50
3.3
The Velocities' Play
53
3.4
Observable Manifestations
56
3.4.1
The Fizeau Experiment
56
3.4.2
Aberration of light
60
Problems
62
4
Space-Time
65
4.1
Minkowski's World
65
4.2
Rotations in Space-Time (Representation in Euclidean Plane)
73
Contents
4.3
Lorentz
Transformations as Rotations
81
4.4
What is Horizontal and What is Vertical?
87
4.5
General
Lorentz
Transformations
99
4.6
The Path Integrals
103
47 4-
Vectors and Tensors
106
Problems
120
5
Relativity at Work I: Mechanics
125
5.1
4-Velocity
125
5.2
4-Acceleration
130
5.3
4-Momentum
132
5.4
Relativistic Angular Momentum
137
5.5
Force and Motion
141
5.6
Mass and Energy
151
5.7
Mechanics From the Least Action
170
5.8
Relativistic Motion in Coulomb's Field
176
Problems
185
6
Relativity at Work II: Electromagnetism and Optics
191
6.1
Electric Field and Something Else (The Origin
of Magnetic Field)
191
6.2
Magnetic Field and Something Else
. 205
6.3
Is Electric Charge Invariant? (The Subtleties of "Neutrality")
209
6.4
Maxwell's Equations
218
6.5
Lenz's Law
225
6.6
4-Potential, Gauge Transformations,
and Gauge
Invariance
228
6.7
Electrodynamics and The Principle of the Least Action
233
6.8
Electrodynamics in Tensor Notations
239
6.9
Running Waves
244
6.10
The Relativistic
Doppler
Effect I
247
6.11
The Origin of Light
248
6.12
Aberration of light
- 2 252
6.13
Why Do Droplets Sparkle? Or Can We Trap the light
in a Droplet?
256
Problems
263
7
Relativistic Paradoxes
267
7.1
Seeing and Observing (on the Appearance
of Fast-Moving Objects)
267
7.2
Can We See the Relativistic Length Contraction?
273
7.3
The
Lorentz
Contraction Paradox
280
7.4
Predicaments of Relativistic Train
283
7.5
The Dynamics of Relativistic Length Contraction
298
Contents
XI
7.6
The Conveyor Belt Paradox
317
7.7
What is Rigid in Relativity? (What Constitutes
Deformation?)
323
7.8
The Twin Paradox
334
7.9
The Three Friends' Paradox
344
Problems
348
8
Miracles of a Spinning World
351
8.1
The
Ehrenfest
Paradox
351
8.2
Circumnavigations with the Atomic Clocks
365
8.3
Surprises of the Rotland
375
8.4
Photons' Races in a Centrifuge
376
8.5
The Thomas Precession
387
Problems
394
9
Theory of Relativity is the Theory of Absoluteness
397
9.1
What Is Relative and What Is Absolute
397
9.2
The Speed of Light and the Invariant Speed
398
9.3
Space-Time Intervals
403
9.4
Relativistic
Doppler
Effect II
407
9.5
Relative Is Real
413
Problems
422
TO Relativity at Work III: Quantum Mechanics
425
10.1
Basic Ideas of Quantum Mechanics
425
10.2
Relativistic QM Indeterminacy
454
10.3
Relativistic Wave Equations
461
10.3.1
The Klein-Gordon Equation
461
10.3.2
Dirac's Equation
469
10.4
Relativistic
Doppler
Effect III: A Child of Relativity
and Quantum Mechanics
477
10.5
Field-Particle Interactions: The Compton Effect
482
Problems
493
ΤΤ
Relativity and Causality
497
11.1
Space-Time and Causality
497
11.2
Tachyons and Tardyons
500
11.3
The
Tolman
Paradox
509
11.4
Tachyons and Causality
516
11.5
Wave Packet Propagation and Position Measurements
523
11.6
Superluminal Quantum Tunneling
527
11.7
Wave Front Propagation
537
11.8
What Constitutes a Signal?
541
11.9
Direct Signaling Into the Past
550
XII Contents
11.10
The Mystery of Quantum Telecommunication
558
11.11
The "No Cloning" Theorem
564
Problems
569
12
Applied Relativity
571
12.1
Relativistic Jet Propulsion: A "Star Trek" Cruiser
571
12.2
Principles of Design and Functioning of Particle Accelerators
580
Problems
593
13
A Bit of General Relativity
595
13.1
Basic Ideas of GR
595
13.2
Kinematics of GR
603
Appendix A State Function and the Continuity Equation
615
Appendix
В
Representation of
Observables
by Operators
617
Appendix
С
The
Pauli
Matrices
619
Appendix
D
Dimensionality of Dirac's Matrices
621
Appendix
E
Optical Barriers for a Photon
623
Appendix
F
Cause and Effect
627
Appendix
С
Permittivity and Refractive Index
637
References
643
Index
647 |
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| discipline_str_mv | Physik |
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Fayngold points out the connection between fundamental principles and known phenomena. In three new chapters on 'Relativity at Work' (Electromagnetism, Optics, Quantum Mechanics), he not only shows what relativity is, but also how it works. 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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV023030236 |
| illustrated | Illustrated |
| index_date | 2024-07-02T19:16:42Z |
| indexdate | 2024-07-20T09:28:11Z |
| institution | BVB |
| isbn | 9783527406074 3527406077 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016234137 |
| oclc_num | 180478876 |
| open_access_boolean | |
| owner | DE-706 DE-M347 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-634 DE-20 DE-83 DE-11 |
| owner_facet | DE-706 DE-M347 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-634 DE-20 DE-83 DE-11 |
| physical | XVI, 652 S. Ill., graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | WILEY-VCH |
| record_format | marc |
| series2 | Physics textbook |
| spelling | Fayngold, Moses Verfasser (DE-588)123942179 aut Special relativity and how it works Moses Fayngold Weinheim WILEY-VCH 2008 XVI, 652 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Physics textbook Based on his successful work Special Relativity and Motions Faster than Light, Moses Fayngold has written a thorough presentation of the special theory of relativity. The unique feature of the textbook is its two-leveled structure helping students to master the material more effectively: the first level presents a qualitative discussion of a problem, while the second one contains its rigorous treatment. Fayngold points out the connection between fundamental principles and known phenomena. In three new chapters on 'Relativity at Work' (Electromagnetism, Optics, Quantum Mechanics), he not only shows what relativity is, but also how it works. The scope of new material extends to include a chapter on Causality and on Applied Relativity, including astrophysical and accelerator topics. Relativity (Physics) Spezielle Relativitätstheorie (DE-588)4182215-8 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Spezielle Relativitätstheorie (DE-588)4182215-8 s DE-604 http://d-nb.info/985851473/04 Inhaltsverzeichnis text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3008904&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016234137&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fayngold, Moses Special relativity and how it works Relativity (Physics) Spezielle Relativitätstheorie (DE-588)4182215-8 gnd |
| subject_GND | (DE-588)4182215-8 (DE-588)4123623-3 |
| title | Special relativity and how it works |
| title_auth | Special relativity and how it works |
| title_exact_search | Special relativity and how it works |
| title_exact_search_txtP | Special relativity and how it works |
| title_full | Special relativity and how it works Moses Fayngold |
| title_fullStr | Special relativity and how it works Moses Fayngold |
| title_full_unstemmed | Special relativity and how it works Moses Fayngold |
| title_short | Special relativity and how it works |
| title_sort | special relativity and how it works |
| topic | Relativity (Physics) Spezielle Relativitätstheorie (DE-588)4182215-8 gnd |
| topic_facet | Relativity (Physics) Spezielle Relativitätstheorie Lehrbuch |
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