Quantum theory: concepts and methods
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht ; Boston ; London
Kluwer Academic Publishers
[1995]
|
| Series: | Fundamental theories of physics
volume 72 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xiii, 446 Seiten Illustrationen, Diagramme |
| ISBN: | 0792325494 0792336321 |
Staff View
MARC
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| 245 | 1 | 0 | |a Quantum theory |b concepts and methods |c by Asher Peres, Department of Physics, Technion-Israel Institute of Technology, Haifa, Israel |
| 264 | 1 | |a Dordrecht ; Boston ; London |b Kluwer Academic Publishers |c [1995] | |
| 300 | |a xiii, 446 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Fundamental theories of physics |v volume 72 | |
| 650 | 7 | |a Mecânica quântica |2 larpcal | |
| 650 | 4 | |a Théorie quantique | |
| 650 | 4 | |a Théorie quantique - Méthodologie | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Quantum theory |x Mathematics | |
| 650 | 4 | |a Quantum theory |x Methodology | |
| 650 | 0 | 7 | |a Quantentheorie |0 (DE-588)4047992-4 |2 gnd |9 rswk-swf |
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Record in the Search Index
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|---|---|
| adam_text | Table
of Contents
Preface
xi
PART I
:
GATHERING THE TOOLS
Chapter
1:
Introduction to Quantum Physics
3
1-1.
The downfall of classical concepts
3
1-2.
The rise of randomness
5
1-3.
Polarized photons
7
1-4.
Introducing the quantum language
9
1-5.
What is a measurement?
14
1-6.
Historical remarks
18
1-7.
Bibliography
21
Chapter
2:
Quantum Tests
24
2-1.
What is a quantum system?
24
2-2.
Repeatable tests
27
2-3.
Maximal quantum tests
29
2-4.
Consecutive tests
33
2-5.
The principle of interference
36
2-6.
Transition amplitudes
39
2-7.
Appendix: Bayes s rule of statistical inference
45
2-8.
Bibliography
47
Chapter
3:
Complex Vector Space
48
3-1.
The superposition principle
48
3-2.
Metric properties
51
3-3.
Quantum expectation rule
54
3-4.
Physical implementation
57
3-5.
Determination of a quantum state
58
3-6.
Measurements and
observables
62
3-7.
Further algebraic properties
67
vii
viu
Table of Contents
3-8.
Quantum mixtures
72
3-9.
Appendix: Dirac s notation
77
3-10.
Bibliography
78
Chapter
4:
Continuous Variables
79
4-1.
Hubert space
79
4-2.
Linear operators
84
4-3.
Commutators and uncertainty relations
89
4-4.
Truncated Hubert space
95
4-5.
Spectral theory
99
4-6.
Classification of spectra
103
4-7.
Appendix: Generalized functions
106
4-8.
Bibliography
112
PART II
:
CRYPTODETERMINISM AND QUANTUM INSEPARABILITY
Chapter
5:
Composite Systems
115
5-1.
Quantum correlations
115
5-2.
Incomplete tests and partial traces
121
5-3.
The Schmidt decomposition
123
5-4.
Indistinguishable particles
126
5-5.
Parastatistics
131
5-6.
Fock space
137
5-7.
Second quantization
142
5-8.
Bibliography
147
Chapter
6:
Bell s Theorem
148
6-1.
The dilemma of Einstein,
Podolsky,
and Rosen
148
6-2.
Cryptodeterminism
155
6-3.
Bell s inequalities
160
6-4.
Some fundamental issues
167
6-5.
Other quantum inequalities
173
6-6.
Higher spins
179
6-7.
Bibliography
185
Chapter
7:
Contextuality
187
7-1.
Nonlocality versus contextuality
187
7-2.
Gleason e theorem
190
7-3.
The Kochen-Specker theorem
196
7-4.
Experimental and logical aspects of inseparability
202
7-5.
Appendix: Computer test for Kochen-Specker contradiction
209
7-6.
Bibliography
211
Table
of Contents
________________________________________ ix
PART III
:
QUANTUM DYNAMICS AND INFORMATION
Chapter
8:
Spacetime Symmetries
215
8-1.
What is a symmetry?
215
8-2.
Wigner s theorem
217
8-3.
Continuous transformations
220
8-4.
The momentum operator
225
8-5.
The Euclidean group
229
8-6.
Quantum dynamics
237
8-7. Heisenberg
and Dirac pictures
242
8-8.
Galilean
invariance
245
8-9.
Relativistic
invariance
249
8-10.
Forms of relativistic dynamics
254
8-11.
Space reflection and time reversal
257
8-12.
Bibliography
259
Chapter
9:
Information and Thermodynamics
260
9-1.
Entropy
260
9-2.
Thermodynamic equilibrium
266
9-3.
Ideal quantum gas
270
9-4.
Some impossible processes
275
9-5.
Generalized quantum tests
279
9-6.
Neumark s theorem
285
9-7.
The limits of objectivity
289
9-8.
Quantum cryptography and
teleportation
293
9-9.
Bibliography
296
Chapter
10:
Semiclassical Methods
298
10-1.
The correspondence principle
298
10-2.
Motion and distortion of wave packets
302
10-3.
Classical action
307
10-4.
Quantum mechanics in phase space
312
10-5.
Koopman s theorem
317
10-6.
Compact spaces
319
10-7.
Coherent states
323
10-8.
Bibliography
330
Chapter
11:
Chaos and Irreversibility
332
11-1.
Discrete maps
332
11-2.
Irreversibility in classical physics
341
11-3.
Quantum aspects of classical chaos
347
11-4.
Quantum maps
351
11-5.
Chaotic quantum motion
353
TabJe of Contents
11-6.
Evolution of pure states into mixtures
369
11-7.
Appendix: POSTSCRIPT code for a map
370
11-8.
Bibliography
371
Chapter
12:
The Measuring Process
373
12-1.
The ambivalent observer
373
12-2.
Classical measurement theory
378
12-3.
Estimation of a static parameter
385
12-4.
Time-dependent signals
387
12-5.
Quantum
Zeno
effect
392
12-6.
Measurements of finite duration
400
12-7.
The measurement of time
405
12-8.
Time and energy complementarity
413
12-9.
Incompatible
observables
417
12-10.
Approximate reality
423
12-11.
Bibliography
428
Author Index
430
Subject Index
435
|
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| id | DE-604.BV010797049 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:59:02Z |
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| isbn | 0792325494 0792336321 |
| language | English |
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| physical | xiii, 446 Seiten Illustrationen, Diagramme |
| publishDate | 1995 |
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| publisher | Kluwer Academic Publishers |
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| series | Fundamental theories of physics |
| series2 | Fundamental theories of physics |
| spelling | Peres, Asher 1934- Verfasser (DE-588)134272315 aut Quantum theory concepts and methods by Asher Peres, Department of Physics, Technion-Israel Institute of Technology, Haifa, Israel Dordrecht ; Boston ; London Kluwer Academic Publishers [1995] xiii, 446 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Fundamental theories of physics volume 72 Mecânica quântica larpcal Théorie quantique Théorie quantique - Méthodologie Mathematik Quantentheorie Quantum theory Mathematics Quantum theory Methodology Quantentheorie (DE-588)4047992-4 gnd rswk-swf Quantenphysik (DE-588)4266670-3 gnd rswk-swf Quantenphysik (DE-588)4266670-3 s Quantentheorie (DE-588)4047992-4 s DE-604 Fundamental theories of physics volume 72 (DE-604)BV000012461 72 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007211728&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Peres, Asher 1934- Quantum theory concepts and methods Fundamental theories of physics Mecânica quântica larpcal Théorie quantique Théorie quantique - Méthodologie Mathematik Quantentheorie Quantum theory Mathematics Quantum theory Methodology Quantentheorie (DE-588)4047992-4 gnd Quantenphysik (DE-588)4266670-3 gnd |
| subject_GND | (DE-588)4047992-4 (DE-588)4266670-3 |
| title | Quantum theory concepts and methods |
| title_auth | Quantum theory concepts and methods |
| title_exact_search | Quantum theory concepts and methods |
| title_full | Quantum theory concepts and methods by Asher Peres, Department of Physics, Technion-Israel Institute of Technology, Haifa, Israel |
| title_fullStr | Quantum theory concepts and methods by Asher Peres, Department of Physics, Technion-Israel Institute of Technology, Haifa, Israel |
| title_full_unstemmed | Quantum theory concepts and methods by Asher Peres, Department of Physics, Technion-Israel Institute of Technology, Haifa, Israel |
| title_short | Quantum theory |
| title_sort | quantum theory concepts and methods |
| title_sub | concepts and methods |
| topic | Mecânica quântica larpcal Théorie quantique Théorie quantique - Méthodologie Mathematik Quantentheorie Quantum theory Mathematics Quantum theory Methodology Quantentheorie (DE-588)4047992-4 gnd Quantenphysik (DE-588)4266670-3 gnd |
| topic_facet | Mecânica quântica Théorie quantique Théorie quantique - Méthodologie Mathematik Quantentheorie Quantum theory Mathematics Quantum theory Methodology Quantenphysik |
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