Quantum mechanics: it's early development and the road to entaglement
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
2008
|
| Schlagworte: | |
| Online-Zugang: | http://www.gbv.de/dms/bowker/toc/9781860949777.pdf Inhaltsverzeichnis |
| Beschreibung: | XXI, 257 S. Ill., graph. Darst. |
| ISBN: | 1860949770 9781860949777 9781860949784 |
Internformat
MARC
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| 264 | 1 | |a London |b Imperial College Press |c 2008 | |
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Datensatz im Suchindex
| _version_ | 1804138913476902912 |
|---|---|
| adam_text | Contents
Acknowledgements
xvii
Preface
xix
1.
Setting the Scene
1
1.1.
Introduction
1
1.2.
Light and Heat: Kirchhoff s Black-body Radiation
2
1.3.
Kirchhoff s Work on Optical Spectra
4
1.4.
Planck s Route to Tackling the Black-body
Radiation Problem
5
1.5.
Light and the Aether
6
1.6.
Post
1900 7
2.
Light: The Aether and the Special Theory of Relativity
11
2.1.
Introduction
11
2.2.
The Aether
13
2.2.1.
The stellar aberration of light
13
2.2.2.
Arago s experiments
14
2.2.3.
Fresnel s drag mechanism
(1818) 15
2.2.4.
The
1887
Michelson-Morley experiment
15
2.2.5.
The FitzGerald contraction
16
2.2.6.
The
Lorentz
contraction
16
2.3.
Einstein s Special Theory of Relativity
(1905) 17
2.3.1.
Introduction: reference frame
transformations
17
2.3.2.
Energy and momentum
23
3.
Thermal Radiation and Planck s Energy Elements
26
3.1.
Introduction
26
Contents
3.2. Planck and Energy Elements 32
3.2.1.
Introduction:
background
32
3.2.2.
Stage
1 34
3.2.3.
Stage
2:
Planck s final distribution function
39
3.2.4.
Summary of the main features of Planck s
final derivation of the distribution function
45
4.
Einstein and the Quantum
48
4.1.
Introduction
48
4.2.
Overview
49
4.3.
Volume Dependence of Entropy: Light Quanta and
the Photoelectric Effect
56
4.4.
Fluctuations
62
4.4.1.
Energy fluctuations
62
4.4.2.
Momentum fluctuations
65
4.5.
Statistics: Planck s Radiation Formula and Specific
Heat Theory
66
5.
The Quantum in the Atom: Optical Spectra
69
5.1.
Introduction
69
5.2.
Classical Mechanics of an Electron in a Circular
Atomic Orbit
71
5.3.
The Quantum is Introduced: The Correspondence
Principle
72
6.
Einstein s Transition Probabilities: Bohr s Theory and
Planck s Law
80
7.
Wave Mechanics
85
7.1.
Introduction
85
7.2.
de Broglie s
Matter Waves
86
7.2.1.
Freely moving particles
87
7.2.2.
Orbital electrons as waves
91
7.3. Schrödinger s
Wave Mechanics
93
7.3.1.
Introduction
93
7.3.2.
Background
rôle
of Einstein s Gas Theory
95
Contents
7.3.3.
Classical wave optics and geometrical optics
compared: a note
98
7.3.4.
Fermat s principle of least time
99
7.3.5.
Maupertuis s principle of least action
101
7.3.6.
Hamilton s mechanics and
Schrödinger s
wave mechanics
103
1.3.1. Schrödinger s
time-independent wave
equation of
1926 105
7.3.8. Schrödinger s
time-dependent equation
112
7.3.9.
The probabilistic interpretation of the
wave equation
116
7.3.10.
Operator representations
119
7.4.
Relativistic Wave Equation: The Dirac Equation
120
8.
Matrix Mechanics
124
8.1.
Introduction
124
8.2.
Heisenberg s Approach
126
8.2.1. Heisenberg
invokes the correspondence
principle
128
8.2.2.
Outside the range of the correspondence
principle
130
8.3.
The Reconciliation of Matrix Mechanics and
Wave Mechanics
132
8.4.
Dirac and Matrix Mechanics
133
9.
Complementarity, the Uncertainty Principle, and the
Copenhagen Interpretation
135
9.1.
Introduction
135
9.2.
Heisenberg s Uncertainty Principle
138
9.3.
The
Como
Meeting and the Copenhagen
Interpretation
142
9.4.
Copenhagen Interpretation Challenged
146
9.4.1.
Background
146
9.4.2.
Einstein s objections
150
xiv Contents
10.
Indeterminacy and Entanglement (Sara M. McMurry)
159
10.1.
Introduction
159
10.2.
Entangled Pairs of Particles and Bell s Inequality
161
10.2.1.
Photon polarisation and indeterminacy
162
10.2.2.
An EPR experiment with photons
166
10.2.3.
Hidden variables and Bell s Inequality
168
10.2.4.
Experimental tests of Bell s Inequality
172
10.3.
Quantum Information Theory
173
10.3.1.
Quantum computing
175
10.3.2.
Quantum cryptography
176
10.3.3.
Quantum cloning and quantum
teleportation
177
10.4.
The Quantum Measurement Problem
179
10.4.1.
Schrödinger s
Cat and the collapse of the
wave function
180
10.5.
Further Reading
183
Appendices
A. Entropy
184
B. Classical Thermodynamics; Kinetic Theory; Statistical
Mechanics; Statistical Thermodynamics
191
C. Phase Space
196
D. A Note on Rayleigh s Radiation Formula
204
E. Debye: Specific Heat Theory of Solids and Derivation of
Planck s Radiation Formula
206
F. The Photoelectric Effect
209
G. The General Wave Equation; Wave Groups; Dispersion
211
H. The Harmonic and Anharmonic Oscillator
214
Contents xv
I. Chronology of Main Developments Leading to the
Copenhagen Interpretation
219
J. Biographical Notes: The Central Characters
223
Bibliography
231
References
238
Index
247
|
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| spelling | Steward, Edward G. 1923- Verfasser (DE-588)1019324252 aut Quantum mechanics it's early development and the road to entaglement Edward G. Steward London Imperial College Press 2008 XXI, 257 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Geschichte gnd rswk-swf Statistique mathématique Théorie quantique Geschichte Quantentheorie Matrix mechanics Quantum theory Quantum theory History Geschichte (DE-588)4020517-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 s Geschichte (DE-588)4020517-4 s DE-604 Geschichte z 1\p DE-604 Quantentheorie (DE-588)4047992-4 s 2\p DE-604 http://www.gbv.de/dms/bowker/toc/9781860949777.pdf Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017379050&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 | Steward, Edward G. 1923- Quantum mechanics it's early development and the road to entaglement Statistique mathématique Théorie quantique Geschichte Quantentheorie Matrix mechanics Quantum theory Quantum theory History Geschichte (DE-588)4020517-4 gnd Quantenmechanik (DE-588)4047989-4 gnd Quantentheorie (DE-588)4047992-4 gnd |
| subject_GND | (DE-588)4020517-4 (DE-588)4047989-4 (DE-588)4047992-4 |
| title | Quantum mechanics it's early development and the road to entaglement |
| title_auth | Quantum mechanics it's early development and the road to entaglement |
| title_exact_search | Quantum mechanics it's early development and the road to entaglement |
| title_full | Quantum mechanics it's early development and the road to entaglement Edward G. Steward |
| title_fullStr | Quantum mechanics it's early development and the road to entaglement Edward G. Steward |
| title_full_unstemmed | Quantum mechanics it's early development and the road to entaglement Edward G. Steward |
| title_short | Quantum mechanics |
| title_sort | quantum mechanics it s early development and the road to entaglement |
| title_sub | it's early development and the road to entaglement |
| topic | Statistique mathématique Théorie quantique Geschichte Quantentheorie Matrix mechanics Quantum theory Quantum theory History Geschichte (DE-588)4020517-4 gnd Quantenmechanik (DE-588)4047989-4 gnd Quantentheorie (DE-588)4047992-4 gnd |
| topic_facet | Statistique mathématique Théorie quantique Geschichte Quantentheorie Matrix mechanics Quantum theory Quantum theory History Quantenmechanik |
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