A student's guide to Einstein's major papers:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2012
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references |
| Physical Description: | XXI, 303 S. graph. Darst. |
| ISBN: | 9780199694037 |
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MARC
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| 245 | 1 | 0 | |a A student's guide to Einstein's major papers |c Robert E. Kennedy |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2012 | |
| 300 | |a XXI, 303 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
| _version_ | 1824687175782891520 |
|---|---|
| adam_text |
Contents
Acknowledgments
xiii
Introduction xv
1
Setting the Stage for
1905 1
1.1
Overview
1
1.2
Historical Background
2
1.2.1 600
ВС
to AD
200:
The Contribution of the
Early Greeks
2
1.2.2
The 1600s: The Contribution of Galileo and Newton
б
1.2.3
The 1800s: The Contribution of Maxwell and
Lorentz
13
1.2.4
The Worldview in
1900 15
1.3
Albert Einstein
15
1.3.1
The
Pre-
College Years
15
1.3.2
The College Years
17
1.3.3
From College to
1905 19
1.4
Discussion and Comments
20
1.5
Appendices
21
1.5.1
Science Today
21
1.5.2
Newton's Law of Gravitation from Kepler's Laws
25
1.6
Notes
27
1.7
Bibliography
31
2
Radiation and the Quanta
33
2.1
Historical Background
33
2.1.1
Thermodynamics and Entropy
33
2.1.2
Blackbody
Radiation
34
2.1.3
Max Planck's Derivation of the Radiation Density
38
2.2
Albert Einstein's Paper, "On a Heuristic Point of View
Concerning the Production and Transformation of Light"
39
2.2.1
On a Difficulty Encountered in the Theory of
"Blackbody
Radiation"
40
2.2.2
On Planck's Determination of the Elementary Quanta
41
2.2.3
On the Entropy of Radiation
42
2.2.4
Limiting Law for the Entropy of Monochromatic
Radiation at Low Radiation Density
43
viii Contents
2.2.5
Molecular-Theoretical
Investigation
of the
Dependence of the Entropy of Gases and Dilute
Solutions on the Volume
43
2.2.6
Interpretation of the Expression for the Dependence
of the Entropy of Monochromatic Radiation on
Volume According to Boltzmann's Principle
44
2.2.7
On Stokes' Rule
45
2.2.8
On the Generation of Cathode Rays by Illumination
of Solid Bodies
46
2.2.9
On the Ionization of Gases by Ultraviolet Light
47
2.3
Discussion and Comments
47
2.4
Appendices
49
2.4.1
Entropy and Irreversibility
49
2.4.2
Planck's derivation of
ρ
(г/, Т)
50
2.4.3
Wien's Expression for Entropy
51
2.5
Notes
52
2.6
Bibliography
55
3
The Atom and Brownian Motion
56
3.1
Historical Background
56
3.1.1
The Atom
57
3.1.2
Brownian Motion
60
3.1.3
The Worldview in
1900 60
3.2
Albert Einstein's Paper, "A New Determination
of Molecular Dimensions"
62
3.2.1
On the Influence on the Motion of a Liquid
Exercised by a Very Small Sphere Suspended in It
63
3.2.2
Calculation of the Coefficient of Viscosity of a Liquid
in Which Very Many Irregularly Distributed Small
Spheres are Suspended
66
3.2.3
On the Volume of a Dissolved Substance Whose
Molecular Volume is Large Compared to that
of the Solvent
67
3.2.4
On the Diffusion of an Undissociated Substance
in a Liquid Solution
68
3.2.5
Determination of the Molecular Dimensions with the
Help of the Relations Obtained
69
3.3
Albert Einstein's Paper, "On the Movement of Small
Particles Suspended in Stationary Liquids Required by the
Molecular-Kinetic Theory of Heat"
70
3.3.1
On the Osmotic Pressure Attributable to Suspended
Particles
71
3.3.2
Osmotic Pressure from the Standpoint of the
Molecular-Kinetic Theory of Heat
72
3.3.3
Theory of Diffusion of Small Suspended Spheres
73
3.3.4
On the Random Motion of Particles Suspended in a
Liquid and Their Relation to Diffusion
75
Contents ix
3.3.5
Formula
for the Mean Displacement of Suspended
Particles. A New Method of Determining the True
Size of Atoms 7g
3.4
Discussion and Comments
76
3.5
Appendices
78
3.5.1
Derivation of the Expressions for u, v, and
w
78
3.5.2
Derivation of the Expression for
W
=
Energy per
Unit Time Converted into Heat
85
3.5.3
Derivation of the Coefficient of Viscosity of a Liquid
in Which Very Many Irregularly Distributed Spheres
are Suspended
90
3.5.4
Determination of the Volume of a Dissolved Substance
93
3.5.5
Derivation of the Expression for Entropy
93
3.5.6
Derivation of
В
=
JV*n
95
3.5.7
Derivation of
v
= ƒ
(x, t)
96
3.5.8
Derivation of
(x2)
98
3.6
Notes
98
3.7
Bibliography
103
4
The Special Theory of Relativity
105
4.1
Historical Background
105
4.1.1
The Relativity of Galileo Galilei and of Isaac Newton
105
4.1.2
The
Lorentz
Transformations (from
Lorentz)
108
4.2
Albert Einstein's Paper, "On the Electrodynamics of
Moving Bodies"
113
4.2.1
Definition of Simultaneity
115
4.2.2
On the Relativity of Lengths and Times
116
4.2.3
Theory of Transformation of Coordinates and Time
from a System at Rest to a System in Uniform
Translational Motion Relative to It
118
4.2.4
The Physical Meaning of the Equations Obtained
Concerning Moving Rigid Bodies and Moving Clocks
120
4.2.5
The Addition Theorem of Velocities
121
4.2.6
Transformation of the Maxwell-Hertz Equations for
Empty Space. On the Nature of the Electromotive
Forces that Arise upon Motion in a Magnetic Field
122
4.2.7
Theory of Doppler's Principle and of Aberration
124
4.2.8
Transformation of the Energy of Light Rays. Theory
of the Radiation Pressure Exerted on Perfect Mirrors
126
4.2.9
Transformation of the Maxwell-Hertz Equations
when Convection Currents Are Taken into
Consideration
128
4.2.10
Dynamics of the (Slowly Accelerated) Electron
128
4.3
Albert Einstein's Paper, "Does the Inertia of a Body
Depend Upon Its Energy Content?"
129
4.4
Discussion and Comments
131
χ
Contents
4.5
Appendices
133
4.5.1
Lorentz
and the Transformed Maxwell Equations
133
4.5.2
Derivation of the
Lorentz
Transformation Equations
140
4.5.3
The Electromagnetic Field Transformations
146
4.5.4
The
Doppler
Principle
150
4.5.5
The Electrodynamic
Lorentz
Force
153
4.6
Notes
155
4.7
Bibliography
159
5
The General Theory of Relativity
161
5.1
Historical Background
161
5.1.1
Lingering Questions
161
5.1.2
Generalizing the Special Theory of Relativity
163
5.1.3
The Equivalence of a Gravitational Field and an
Accelerated Reference Frame
164
5.1.4
The Timeline from
1905
to
1916 167
5.2
Albert Einstein's Paper, ''The Foundation of the General
Theory of Relativity'"
171
Part A: "Fundamental Considerations on the Postulate
of Relativity"
171
5.2.1
Observations on the Special Theory of Relativity
171
5.2.2
The Need for an Extension of the Postulate
of Relativity
172
5.2.3
The Space-Time Continuum. Requirement of
General Covariance for the Equations Expressing
General Laws of Nature
174
5.2.4
The Relation of the Four Coordinates to
Measurement in Space and Time
175
Part B: "Mathematical Aids to the Formulation of
Generally Covariant Equations"
178
5.2.5
Contravariant
and Covariant Four-Vectors
179
5.2.6
Tensors of the Second and Higher Ranks
181
5.2.7
Multiplication of Tensors
182
5.2.8
Some Aspects of the Fundamental Tensor
дџ1/
183
5.2.9
The Equation of the Geodetic Line. The Motion
of a Particle
186
5.2.10
The Formation of Tensors by Differentiation
187
5.2.11
Some Cases of Special Importance
188
5.2.12
The Riemann-Christoffel Tensor
191
Part C: "Theory of the Gravitational Field"
192
5.2.13
Equations of Motion of a Material Point in the
Gravitational Field. Expression for the
Field-Components of Gravitation
192
Contents xi
5.2.14
The Field Equations of Gravitation in the Absence
of Matter
193
5.2.15
The Hamiltonian Function for the Gravitational
Field. Laws of Momentum and Energy
194
5.2.16
The General Form of the Field Equations
of Gravitation
196
5.2.17
The Laws of Conservation in the General Case
198
5.2.18
The Laws of Momentum and Energy for Matter,
as a Consequence of the Field Equations
198
Part D: "Material Phenomena"
199
5.2.19
Euler
's
Equations for a Frictionless Adiabatic Fluid
199
5.2.20
Maxwell's Electromagnetic Field Equations for
Free Space
200
Part E:
205
5.2.21
Newton's Theory as a First Approximation
205
5.2.22
The Behaviour of Rods and Clocks in the Static
Gravitational Field. Bending of Light Rays. Motion
of the Perihelion of a Planetary Orbit
208
5.3
Discussion and Comments
213
5.3.1
Verification of the General Theory of Relativity
213
5.3.2
Beyond the General Theory of Relativity:
Cosmology and the Unified Field Theory
216
5.4
Appendices
223
5.4.1
Multiplication of Tensors
223
5.4.2
Some Aspects of the Fundamental Tensor
дЏ1/
224
5.4.3
The Equation of the Geodetic Line
225
5.4.4
The Formation of Tensors by Differentiation
229
5.4.5
Some Cases of Special Importance
232
5.4.6
The Riemann-Christoffel Tensor
239
5.4.7
The Hamiltonian Function for the
Gravitational Field
241
5.4.8
Calculation of the Bending of Starlight
249
5.4.9
Calculation of the Precession of the Perihelion
of Mercury
249
5.4.10
The Bending of Starlight Experiment
253
5.4.11
Newton's Bucket
254
5.5
Notes
255
5.6
Bibliography
262
6
Einstein and Quantum Mechanics
265
6.1
Historical Background
265
6.2
The Evolution of Quantum Mechanics
267
6.2.1
The Theory of Specific Heat
(1906) 267
6.2.2
The Dual Nature of Radiation
(1909) 268
xii Contents
6.2.3 The Bohr
Atom
(1913) 269
6.2.4
Spontaneous and Induced Transitions
(1916) 271
6.2.5
The Compton Scattering Experiment
(1923) 271
6.2.6
Bose-Einstein Statistics
(1924) 272
6.2.7
Einstein,
de
Broglie
(1924),
and
Schrödinger (1926) 275
6.2.8
Einstein and Bohr
(1927, 1930) 277
6.3
Discussion and Comments
281
6.4
Appendices
282
6.4.1
The Specific Heat of Dulong and Petit
282
6.4.2
The Commutator of
Ρ
and
Q
282
6.5
Notes
283
6.6
Bibliography
287
7
Epilogue
290
7.1
The Inflexible Boundary Condition
290
7.2
Notes
293
7.3
Bibliography
295
Index
297 |
| any_adam_object | 1 |
| author | Kennedy, Robert E. 1939-2012 |
| author_GND | (DE-588)1028527659 |
| author_facet | Kennedy, Robert E. 1939-2012 |
| author_role | aut |
| author_sort | Kennedy, Robert E. 1939-2012 |
| author_variant | r e k re rek |
| building | Verbundindex |
| bvnumber | BV039688728 |
| classification_rvk | UB 2570 |
| ctrlnum | (OCoLC)751832047 (DE-599)BVBBV039688728 |
| dewey-full | 530.1092 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1092 |
| dewey-search | 530.1092 |
| dewey-sort | 3530.1092 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. publ. |
| era | Geschichte 1905-1930 gnd |
| era_facet | Geschichte 1905-1930 |
| format | Book |
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| spelling | Kennedy, Robert E. 1939-2012 Verfasser (DE-588)1028527659 aut A student's guide to Einstein's major papers Robert E. Kennedy 1. publ. Oxford [u.a.] Oxford Univ. Press 2012 XXI, 303 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references Einstein, Albert / 1879-1955 Einstein, Albert 1879-1955 (DE-588)118529579 gnd rswk-swf Geschichte 1905-1930 gnd rswk-swf Physics / Philosophy Mathematical physics Mathematische Physik Philosophie Physik (DE-588)4045956-1 gnd rswk-swf 1\p (DE-588)4135952-5 Quelle gnd-content Einstein, Albert 1879-1955 (DE-588)118529579 p Physik (DE-588)4045956-1 s Geschichte 1905-1930 z 2\p DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024537561&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kennedy, Robert E. 1939-2012 A student's guide to Einstein's major papers Einstein, Albert / 1879-1955 Einstein, Albert 1879-1955 (DE-588)118529579 gnd Physics / Philosophy Mathematical physics Mathematische Physik Philosophie Physik (DE-588)4045956-1 gnd |
| subject_GND | (DE-588)118529579 (DE-588)4045956-1 (DE-588)4135952-5 |
| title | A student's guide to Einstein's major papers |
| title_auth | A student's guide to Einstein's major papers |
| title_exact_search | A student's guide to Einstein's major papers |
| title_full | A student's guide to Einstein's major papers Robert E. Kennedy |
| title_fullStr | A student's guide to Einstein's major papers Robert E. Kennedy |
| title_full_unstemmed | A student's guide to Einstein's major papers Robert E. Kennedy |
| title_short | A student's guide to Einstein's major papers |
| title_sort | a student s guide to einstein s major papers |
| topic | Einstein, Albert / 1879-1955 Einstein, Albert 1879-1955 (DE-588)118529579 gnd Physics / Philosophy Mathematical physics Mathematische Physik Philosophie Physik (DE-588)4045956-1 gnd |
| topic_facet | Einstein, Albert / 1879-1955 Einstein, Albert 1879-1955 Physics / Philosophy Mathematical physics Mathematische Physik Philosophie Physik Quelle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024537561&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kennedyroberte astudentsguidetoeinsteinsmajorpapers |