Quantum mechanics:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2009
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. [674] - 709 |
| Beschreibung: | XXXI, 724 S. Ill., graph. Darst. |
| ISBN: | 9780521869638 0521869633 |
Internformat
MARC
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| 100 | 1 | |a Auletta, Gennaro |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Quantum mechanics |c Gennaro Auletta ; Mauro Fortunato ; Giorgio Parisi |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2009 | |
| 300 | |a XXXI, 724 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. [674] - 709 | ||
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Quantum theory | |
| 650 | 4 | |a Quantum theory |v Problems, exercises, etc. | |
| 650 | 0 | 7 | |a Quantenmechanik |0 (DE-588)4047989-4 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Quantenmechanik |0 (DE-588)4047989-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Fortunato, Mauro |e Verfasser |4 aut | |
| 700 | 1 | |a Parisi, Giorgio |d 1948- |e Verfasser |0 (DE-588)138622760 |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017395396&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-017395396 | ||
Datensatz im Suchindex
| _version_ | 1804138937127534592 |
|---|---|
| adam_text | Contents
List of figures page
xi
List of tables
xvii
List of definitions, principles, etc.
xviii
List of boxes
xx
List of symbols
xxi
List of abbreviations
xxxii
Introduction
1
Part I Basic features of quantum mechanics
1
From classical mechanics to quantum mechanics
7
1.1
Review of the foundations of classical mechanics
7
1.2
An
interferometry
experiment and its consequences
12
1.3
State as vector
20
1.4
Quantum probability
28
1.5
The historical need of a new mechanics
31
Summary
40
Problems
41
Further reading
42
2
Quantum
observables
and states
43
2.1
Basic features of quantum
observables
43
2.2
Wave function and basic
observables
68
2.3
Uncertainty relation
82
2.4
Quantum algebra and quantum logic
92
Summary
96
Problems
97
Further reading
99
3
Quantum dynamics
100
3.1
The
Schrödinger
equation
101
3.2
Properties of the
Schrödinger
equation
107
3.3 Schrödinger
equation and Galilei transformations
111
3.4
One-dimensional free particle in a box
113
3.5
Unitary transformations
117
vi
Contents
3.6
Different pictures
125
3.7
Time derivatives and the
Ehrenfest
theorem
129
3.8
Energy-time uncertainty relation
130
3.9
Towards a time operator
135
Summary
138
Problems
139
Further reading
140
4
Examples of quantum dynamics
141
4.1
Finite potential wells
141
4.2
Potential barrier
145
4.3
Tunneling
150
4.4
Harmonic oscillator
154
4.5
Quantum particles in simple fields
165
Summary
169
Problems
170
5
Density matrix
174
5.1
Basic formalism
174
5.2
Expectation values and measurement outcomes
177
5.3
Time evolution and density matrix
179
5.4
Statistical properties of quantum mechanics
180
5.5
Compound systems
181
5.6
Pure- and mixed-state representation
187
Summary
188
Problems
189
Further reading
190
Part II More advanced topics
6
Angular momentum and spin
193
6.1
Orbital angular momentum
193
6.2
Special examples
207
6.3
Spin
217
6.4
Composition of angular momenta and total angular momentum
226
6.5
Angular momentum and angle
239
Summary
241
Problems
242
Further reading
244
7
Identical particles
245
7.1
Statistics and quantum mechanics
245
7.2
Wave function and symmetry
247
7.3
Spin and statistics
249
vii
Contents
7.4
Exchange interaction
254
7.5
Two recent
applications
255
Summary
257
Problems
257
Further reading
258
8
Symmetries and conservation laws
259
8.1
Quantum transformations and symmetries
259
8.2
Continuous symmetries
264
8.3
Discrete symmetries
266
8.4
A brief introduction to group theory
267
Summary
275
Problems
275
Further reading
276
9
The measurement problem in quantum mechanics
277
9.1
Statement of the problem
278
9.2
A brief history of the problem
284
9.3 Schrödinger
cats
291
9.4
Decoherence
297
9.5
Reversibility/irreversibility
308
9.6
Interaction-free measurement
315
9.7
Delayed-choice experiments
320
9.8
Quantum
Zeno
effect
322
9.9
Conditional measurements or postselection
325
9.10
Positive operator valued measure
327
9.11
Quantum non-demolition measurements
335
9.12
Decision and estimation theory
341
Summary
349
Problems
351
Further reading
353
Part III Matter and light
10
Perturbations and approximation methods
357
10.1
Stationary perturbation theory
357
10.2
Time-dependent perturbation theory
366
10.3
Adiabatic theorem
369
10.4
The variational method
371
10.5
Classical limit
372
10.6
Semiclassical limit and WKB approximation
378
10.7
Scattering theory
384
10.8
Path integrals
389
Summary
398
viii Contents
Problems 399
Further reading
399
11
Hydrogen and helium atoms
401
11.1
Introduction
401
11.2
Quantum theory of the hydrogen atom
403
11.3
Atom and magnetic field
413
11.4
Relativistic corrections
423
11.5
Helium atom
426
11.6
Many-electron effects
431
Summary
436
Problems
437
Further reading
438
12
Hydrogen molecular ion
439
12.1
The molecular problem
439
12.2
Born-Oppenheimer approximation
440
12.3
Vibrational and rotational degrees of freedom
443
12.4
The Morse potential
447
12.5
Chemical bonds and further approximations
449
Summary
453
Problems
453
Further reading
454
13
Quantum optics
455
13.1
Quantization of the electromagnetic field
457
13.2
Thermodynamic equilibrium of the radiation field
462
13.3
Phase-number uncertainty relation
463
13.4
Special states of the electromagnetic field
465
13.5
Quasi-probability distributions
474
13.6
Quantum-optical coherence
481
13.7
Atom-field interaction
484
13.8
Geometric phase
497
13.9
The
Casimir
effect
501
Summary
506
Problems
507
Further reading
509
Part IV Quantum information: state and correlations
14
Quantum theory of open systems
513
14.1
General considerations
514
14.2
The master equation
516
ix Contents
14.3
A
formal
generalization
523
14.4 Quantum
jumps and quantum trajectories
528
14.5
Quantum optics and
Schrödinger
cats
533
Summary
540
Problems
541
Further reading
542
15
State measurement in quantum mechanics
544
15.1
Protective measurement of the state
544
15.2
Quantum cloning and unitarity violation
548
15.3
Measurement and reversibility
550
15.4
Quantum state reconstruction
554
15.5
The nature of quantum states
564
Summary
565
Problems
565
Further reading
566
16
Entanglement: non-separability
567
16.1
EPR
568
16.2
Bohm s version of the EPR state
573
16.3
HV theories
577
16.4
Bell s contribution
582
16.5
Experimental tests
595
16.6
Bell inequalities with
homodyne
detection
605
16.7
Bell theorem without inequalities
613
16.8
What is quantum non-locality?
619
16.9
Further developments about inequalities
623
16.10
Conclusion
625
Summary
625
Problems
626
Further reading
627
17
Entanglement: quantum information
and computation
628
17.1
Information and entropy
628
17.2
Entanglement and information
631
17.3
Measurement and information
639
17.4
Qubits
642
17.5
Teleportation
643
17.6
Quantum cryptography
646
17.7
Elements of quantum computation
650
17.8
Quantum algorithms and error correction
659
Summary
671
Contents
Problems 672
Further reading
673
Bibliography
674
Author index
710
Subject index
716
|
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| indexdate | 2024-07-09T21:36:07Z |
| institution | BVB |
| isbn | 9780521869638 0521869633 |
| language | English |
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| spelling | Auletta, Gennaro Verfasser aut Quantum mechanics Gennaro Auletta ; Mauro Fortunato ; Giorgio Parisi 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2009 XXXI, 724 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. [674] - 709 Quantentheorie Quantum theory Quantum theory Problems, exercises, etc. Quantenmechanik (DE-588)4047989-4 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Quantenmechanik (DE-588)4047989-4 s DE-604 Fortunato, Mauro Verfasser aut Parisi, Giorgio 1948- Verfasser (DE-588)138622760 aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017395396&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Auletta, Gennaro Fortunato, Mauro Parisi, Giorgio 1948- Quantum mechanics Quantentheorie Quantum theory Quantum theory Problems, exercises, etc. Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4047989-4 (DE-588)4123623-3 |
| title | Quantum mechanics |
| title_auth | Quantum mechanics |
| title_exact_search | Quantum mechanics |
| title_full | Quantum mechanics Gennaro Auletta ; Mauro Fortunato ; Giorgio Parisi |
| title_fullStr | Quantum mechanics Gennaro Auletta ; Mauro Fortunato ; Giorgio Parisi |
| title_full_unstemmed | Quantum mechanics Gennaro Auletta ; Mauro Fortunato ; Giorgio Parisi |
| title_short | Quantum mechanics |
| title_sort | quantum mechanics |
| topic | Quantentheorie Quantum theory Quantum theory Problems, exercises, etc. Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Quantentheorie Quantum theory Quantum theory Problems, exercises, etc. Quantenmechanik Lehrbuch |
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