Quantum mechanics and quantum information: a guide through the quantum world
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Weinheim
Wiley-VCH
2013
|
| Schriftenreihe: | Physics textbook
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XX, 844 S. Ill., graph. Darst. |
| ISBN: | 9783527406470 3527406476 |
Internformat
MARC
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| 245 | 1 | 0 | |a Quantum mechanics and quantum information |b a guide through the quantum world |c Moses Fayngold and Vadim Fayngold |
| 264 | 1 | |a Weinheim |b Wiley-VCH |c 2013 | |
| 300 | |a XX, 844 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1807955441243652096 |
|---|---|
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IMAGE 1
CONTENTS
PREFACE X I I I
ABBREVIATIONS AND NOTATIONS X I X
1 THE FAILURE O F CLASSICAL PHYSICS 1
1.1 BLACKBODY RADIATION 1
1.2 HEAT CAPACITY 4
1.3 THE PHOTOELECTRIC EFFECT 9
1.4 ATOMS A N D THEIR SPECTRA 12
1.5 THE DOUBLE-SLIT EXPERIMENT 14
PROBLEM 19
REFERENCES 19
2 THE FIRST STEPS INTO THE UNKNOWN 21
2.1 T H E BBR AND PLANCK'S FORMULA 21
2.2 EINSTEIN'S LIGHT QUANTA AND BBR 2 4
2.2.1 DISCUSSION 2 7
2.3 PEE REVISITED 3 0
2.4 THE THIRD BREAKTHROUGH: D E BROGLIE WAVES 31
2.4.1 EXERCISE 33
PROBLEMS 3 5
REFERENCES 3 5
3 EMBRYONIC QUANTUM MECHANICS: BASIC FEATURES 3 7
3.1 A GLIMPSE O F THE NEW REALM 3 7
3.2 QUANTUM-MECHANICAL SUPERPOSITION O F STATES 3 9 3.3 WHAT IS WAVING
THERE (THE MEANING O F THE ^-FUNCTION) ? 4 2
3.4 OBSERVABLES A N D THEIR OPERATORS 4 7
3.5 QUANTUM-MECHANICAL INDETERMINACY 4 9
3.6 INDETERMINACY AND THE WORLD 53
3.7 Q U A N T U M ENTANGLEMENT AND NONLOCALITY 5 8
3.8 QUANTUM-MECHANICAL PHASE SPACE 62
3.9 DETERMINISM A N D CAUSALITY I N Q U A N T U M WORLD 63
HTTP://D-NB.INFO/1029120447
IMAGE 2
DISCUSSION 63
PROBLEMS 66 REFERENCES 66
PLAYING WITH T H E AMPLITUDES 69 COMPOSITION O F AMPLITUDES 69 DOUBLE
SLIT REVISED I 7 4
DOUBLE SLIT REVISED II 77 NEUTRON SCATTERING I N CRYSTALS 78 BOSONIC AND
FERMIONIC STATES 81 PATH INTEGRALS 89 PROBLEMS 93
REFERENCES 93
BASIC FEATURES AND MATHEMATICAL STRUCTURE O F QM 95 OBSERVABLES: THE
DOMAIN O F CLASSICAL A N D Q U A N T U M MECHANICS 95 QUANTUM-MECHANICAL
OPERATORS 97 ALGEBRA O F OPERATORS 100
EIGENVALUES A N D EIGENSTATES 102 ORTHOGONALITY O F EIGENSTATES 107 THE
ROBERTSON-SCHRDDINGER RELATION 110 THE WAVE FUNCTION A N D MEASUREMENTS
(DISCUSSION)
PROBLEMS 116 REFERENCES 117
REPRESENTATIONS AND THE H ILBERT SPACE 119 VARIOUS FACES O F A STATE
FUNCTION 119 UNITARY TRANSFORMATIONS 121 OPERATORS I N THE MATRIX FORM
125
THE HILBERT SPACE 129 OPERATIONS I N THE HILBERT SPACE 135 NONORTHOGONAL
STATES 142 PROBLEMS 147
REFERENCES 148
ANGULAR MOMENTUM 149 ORBITAL A N D SPIN ANGULAR MOMENTA 149 T H E
EIGENSTATES A N D EIGENVALUES O F L 151 OPERATOR L AND ITS COMMUTATION
PROPERTIES 154
SPIN AS A N INTRINSIC ANGULAR M O M E N T U M 164 ANGULAR M O M E N T U
M O F A COMPOUND SYSTEM 183 SPHERICAL HARMONICS 188 PROBLEMS 196
REFERENCES 197
IMAGE 3
CONTENTS V I I
8 THE SCHRODINGER EQUATION 199
8.1 THE SCHRODINGER EQUATION 199
8.2 STATE FUNCTION A N D THE CONTINUITY EQUATION 2 0 0
8.3 SEPARATION O F TEMPORAL AND SPATIAL VARIABLES: STATIONARY STATES 203
8.4 THE HELMHOLTZ EQUATION AND DISPERSION EQUATION FOR A FREE PARTICLE
205
8.5 SEPARATION O F SPATIAL VARIABLES AND THE RADIAL SCHRODINGER EQUATION
207 8.6 SUPERPOSITION O F DEGENERATE STATES 2 0 9
8.7 PHASE VELOCITY AND GROUP VELOCITY 212
8.8 DE BROGLIE'S WAVES REVISED 218
8.9 THE SCHRODINGER EQUATION I N A N ARBITRARY BASIS 222
PROBLEMS 226 REFERENCES 226
9 APPLICATIONS TO SIMPLE SYSTEMS: O N E DIMENSION 2 2 7
9.1 A QUASI-FREE PARTICLE 227
9.2 POTENTIAL THRESHOLD 232
9.3 TUNNELING THROUGH A POTENTIAL BARRIER 236
9.4 COLD EMISSION 241
9.5 POTENTIAL WELL 244
9.6 Q U A N T U M OSCILLATOR 249
9.7 OSCILLATOR I N THE E- REPRESENTATION 254
9.8 THE ORIGIN O F ENERGY BANDS 2 5 7
9.9 PERIODIC STRUCTURES 2 6 0
PROBLEMS 269 REFERENCES 271
10 THREE-DIMENSIONAL SYSTEMS 273
10.1 A PARTICLE I N A 3D BOX 273
10.2 A FREE PARTICLE I N 3D (SPHERICAL COORDINATES) 274 10.2.1
DISCUSSION 277
10.3 SOME PROPERTIES O F SOLUTIONS I N SPHERICALLY SYMMETRIC POTENTIAL
277 10.4 SPHERICAL POTENTIAL WELL 278
10.5 STATES I N THE COULOMB FIELD AND A HYDROGEN ATOM 281
10.6 ATOMIC CURRENTS 2 8 7
10.7 PERIODIC TABLE 2 9 0
PROBLEMS 293 REFERENCES 294
N
11.1 11.2
EVOLUTION O F QUANTUM STATES 295 THE TIME EVOLUTION OPERATOR 295
EVOLUTION O F OPERATORS 299
IMAGE 4
V I I I I CONTENTS
11.3 SPREADING O F A GAUSSIAN PACKET 301
11.4 THE B- FACTOR A N D EVOLUTION O F A N ARBITRARY STATE 303 11.5 THE
FRAUDULENT LIFE O F A N "ILLEGAL" SPIKE 306
11.6 JINNEE OUT O F THE BOX 311
11.7 INADEQUACY O F NONRELATIVISTIC APPROXIMATION IN DESCRIPTION O F
EVOLVING DISCONTINUOUS STATES 3 1 5 11.7.1 DISCUSSION 316
11.8 QUASI-STATIONARY STATES 3 1 7
11.8.1 DISCUSSION 323
11.9 3D BARRIER A N D QUASI-STATIONARY STATES 3 2 4
11.10 THE THEORY O F PARTICLE DECAY 3 2 7
11.11 PARTIDE-ANTIPARTIDE OSCILLATIONS 331 11.11.1 DISCUSSION 3 3 7
11.12 A WATCHED POT NEVER BOILS (QUANTUM ZENO EFFECT) 3 3 9 11.13 A
WATCHED POT BOILS FASTER 3 4 4
PROBLEMS 350 REFERENCES 352
12 QUANTUM ENSEMBLES 355
12.1 PURE ENSEMBLES 3 5 5
12.2 MIXTURES 356
12.3 THE DENSITY OPERATOR 358
12.4 TIME EVOLUTION O F THE DENSITY OPERATOR 366
12.5 COMPOSITE SYSTEMS 368
PROBLEMS 376 REFERENCES 376
13 INDETERMINACY REVISITED 3 7 7
13.1 INDETERMINACY UNDER SCRUTINY 3 7 7
13.2 THE HEISENBERG INEQUALITY REVISED 3 8 0
13.3 THE INDETERMINACY O F ANGULAR M O M E N T U M 3 8 2
13.4 THE ROBERTSON-SCHRODINGER RELATION REVISED 3 8 4 13.5 THE N-TP
INDETERMINACY 3 8 8
13.6 DISPERSED INDETERMINACY 390
PROBLEMS 3 9 4
REFERENCES 3 9 5
14 QUANTUM MECHANICS AND CLASSICAL MECHANICS 397
14.1 RELATIONSHIP BETWEEN Q U A N T U M AND CLASSICAL MECHANICS 3 9 7
14.2 QM A N D OPTICS 4 0 0
14.3 THE QUASI-CLASSICAL STATE FUNCTION 401
14.4 THE WKB APPROXIMATION 4 0 4
14.5 THE BOHR-SOMMERFELD QUANTIZATION RULES 406
PROBLEMS 4 0 9 REFERENCES 4 1 0
IMAGE 5
CONTENTS I X
15 TWO-STATE SYSTEMS 411
15.1 DOUBLE POTENTIAL WELL 411
15.2 THE A M M O N I U M MOLECULE 415
15.3 QUBITS INTRODUCED 4 1 9
PROBLEM 4 2 2
REFERENCES 4 2 2
16 CHARGE IN MAGNETIC FIELD 423
16.1 A CHARGED PARTICLE I N EM FIELD 423
16.2 THE CONTINUITY EQUATION IN EM FIELD 4 2 5
16.3 ORIGIN O F THE A-MOMENTUM 427
16.4 CHARGE I N MAGNETIC FIELD 4 2 9
16.5 SPIN PRECESSION 432
16.6 THE AHARONOV-BOHM EFFECT 4 3 7
16.6.1 DISCUSSION 441
16.7 THE ZEEMAN EFFECT 4 4 2
PROBLEMS 4 4 4 REFERENCES 445
17 PERTURBATIONS 4 4 7
17.1 STATIONARY PERTURBATION THEORY 447
17.1.1 DISCUSSION 450
17.2 ASYMPTOTIC PERTURBATIONS 455
17.3 PERTURBATIONS AND DEGENERACY 457
17.4 SYMMETRY, DEGENERACY, AND PERTURBATIONS 4 6 0 17.5 THE STARK EFFECT
4 6 2
17.6 TIME-DEPENDENT PERTURBATIONS 465
PROBLEMS 471 REFERENCES 471
18 LIGHT-MATTER INTERACTIONS 473
18.1 OPTICAL TRANSITIONS 473
18.2 DIPOLE RADIATION 474
18.3 SELECTION RULES 4 7 7
18.3.1 OSCILLATOR 4 7 8
18.3.2 HYDROGEN-LIKE ATOM 4 7 8 PROBLEMS 4 8 0
REFERENCE 4 8 0
19 SCATTERING 481
19.1 QM DESCRIPTION O F SCATTERING 481
19.2 STATIONARY SCATTERING 4 8 7
19.3 SCATTERING MATRIX A N D THE OPTICAL THEOREM 4 9 0 19.4 DIFFRACTION
SCATTERING 494
19.5 RESONANT SCATTERING 4 9 8
IMAGE 6
X CONTENTS
19.6 THE BORN APPROXIMATION 501
PROBLEMS 504 REFERENCES 505
20 SUBMISSIVE QUANTUM MECHANICS 5 0 7
20.1 THE INVERSE PROBLEM 5 0 7
20.2 PLAYING WITH Q U A N T U M STATES 509
20.3 * PLAYING WITH EVOLUTION: DISCUSSION 5 1 4 PROBLEMS 522 REFERENCES
5 2 2
21 QUANTUM STATISTICS 525
21.1 BOSONS AND FERMIONS: THE EXCLUSION PRINCIPLE 525 21.1.1 DISCUSSION
531
21.2 PLANCK A N D EINSTEIN AGAIN 5 4 0
21.3 BBR AGAIN 5 4 2
21.4 LASERS A N D MASERS 543
PROBLEMS 545 REFERENCES 546
22 SECOND QUANTIZATION 5 4 7
22.1 Q U A N T U M OSCILLATOR REVISITED 5 4 7
22.2 CREATION A N D ANNIHILATION OPERATORS: BOSONS 548 22.3 CREATION AND
ANNIHILATION OPERATORS: FERMIONS 552 PROBLEMS 555 REFERENCES 555
23 QUANTUM MECHANICS AND MEASUREMENTS 557
23.1 COLLAPSE OR EXPLOSION? 557
23.2 "SCHRODINGER'S CAT" AND CLASSICAL LIMITS O F QM 563 23.3 VON
NEUMANN'S MEASUREMENT SCHEME 571
23.3.1 DISCUSSION 575
23.4 Q U A N T U M INFORMATION AND MEASUREMENTS 578
23.5 INTERACTION-FREE MEASUREMENTS: Q U A N T U M SEEING I N THE DARK
586 23.6 QM A N D THE TIME ARROW 593
PROBLEMS 595 REFERENCES 596
24 QUANTUM NONLOCALITY 599
24.1 ENTANGLED SUPERPOSITIONS I 599
24.2 ENTANGLED SUPERPOSITIONS II 601
24.2.1 DISCUSSION 604
24.3 Q U A N T U M TELEPORTATION 604
24.4 THE "NO-CLONING" THEOREM 607
IMAGE 7
CONTENTS | X I
24.5 HIDDEN VARIABLES AND BELL'S THEOREM 613
24.6 BELL-STATE MEASUREMENTS 619
24.7 QM AND THE FAILURE O F FTL PROPOSALS 627
24.8 DO LASERS VIOLATE THE NO-CLONING THEOREM? 628 24.9 IMPERFECT
CLONING 636
24.10 THE FLASH PROPOSAL A N D Q U A N T U M COMPOUNDS 643 PROBLEMS 649
REFERENCES 649
25 QUANTUM MEASUREMENTS AND POVMS 651
25.1 PROJECTION OPERATOR AND ITS PROPERTIES 651
25.2 PROJECTIVE MEASUREMENTS 655
25.3 POVMS 658
25.4 POVM AS A GENERALIZED MEASUREMENT 664 25.5 POVM EXAMPLES 666
25.6 DISCRIMINATION O F TWO PURE STATES 670
25.7 NEUMARK'S THEOREM 681
25.8 HOW TO IMPLEMENT A GIVEN POVM 686
25.9 COMPARISON O F STATES AND MIXTURES 695
25.10 GENERALIZED MEASUREMENTS 697 PROBLEMS 700 REFERENCES 701
26 QUANTUM INFORMATION 703
' 26.1 DETERMINISTIC INFORMATION AND SHANNON ENTROPY 703 26.2 VON
NEUMANN ENTROPY 709
26.3 CONDITIONAL PROBABILITY AND BAYES'S THEOREM 711 26.4 KL DIVERGENCE
716
26.5 MUTUAL INFORMATION 717
26.6 RENYI ENTROPY 719
26.7 JOINT AND CONDITIONAL RENYI ENTROPY 721 26.8 UNIVERSAL HASHING 726
26.9 THE HOLEVO BOUND 731
26.10 ENTROPY O F ENTANGLEMENT 733
PROBLEMS 734 REFERENCES 735
27 QUANTUM GATES 737
27.1 TRUTH TABLES 737
27.2 QUANTUM LOGIC GATES 741
27.3 SHOR'S ALGORITHM 746
PROBLEMS 751 REFERENCES 752
IMAGE 8
X I I CONTENTS
28 QUANTUM KEY DISTRIBUTION 753
28.1 Q U A N T U M KEY DISTRIBUTION (QKD) WITH EPR 753 28.2 BB84
PROTOCOL 758
28.3 QKD AS COMMUNICATION OVER A CHANNEL 766
28.4 POSTPROCESSING O F THE KEY 769
28.5 B92 PROTOCOL 776
28.6 EXPERIMENTAL IMPLEMENTATION O F QKD SCHEMES 779 28.7 ADVANCED
EAVESDROPPING STRATEGIES 788 PROBLEMS 793 REFERENCES 793
APPENDIX A: CLASSICAL OSCILLATOR 795 REFERENCE 799
APPENDIX B: DELTA FUNCTION 801 REFERENCE 8 0 7
APPENDIX C: REPRESENTATION O F OBSERVABLES BY OPERATORS 8 0 9 APPENDIX
D: ELEMENTS O F MATRIX ALGEBRA 813 APPENDIX E: EIGENFUNCTIONS AND
EIGENVALUES O F T H E ORBITAL ANGULAR MOMENTUM OPERATOR 817 APPENDIX F:
HERMITE POLYNOMIALS 821 APPENDIX C: SOLUTIONS O F T H E RADIAL
SCHRODINGER EQUATION IN FREE
SPACE 825
APPENDIX H: BOUND STATES IN T H E COULOMB FIELD 827
REFERENCE 829
INDEX 831 |
| any_adam_object | 1 |
| author | Fayngold, Moses Fayngold, Vadim |
| author_GND | (DE-588)123942179 (DE-588)1034442376 |
| author_facet | Fayngold, Moses Fayngold, Vadim |
| author_role | aut aut |
| author_sort | Fayngold, Moses |
| author_variant | m f mf v f vf |
| building | Verbundindex |
| bvnumber | BV040898069 |
| classification_rvk | UK 1000 UK 2000 UK 8000 |
| ctrlnum | (OCoLC)845210891 (DE-599)DNB1029120447 |
| dewey-full | 530 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530 530.12 |
| dewey-search | 530 530.12 |
| dewey-sort | 3530 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV040898069 |
| illustrated | Illustrated |
| indexdate | 2024-08-21T00:37:49Z |
| institution | BVB |
| isbn | 9783527406470 3527406476 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025877598 |
| oclc_num | 845210891 |
| open_access_boolean | |
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| owner_facet | DE-11 DE-19 DE-BY-UBM DE-706 DE-703 DE-634 DE-20 DE-188 DE-83 DE-355 DE-BY-UBR DE-29T |
| physical | XX, 844 S. Ill., graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Wiley-VCH |
| record_format | marc |
| series2 | Physics textbook |
| spelling | Fayngold, Moses Verfasser (DE-588)123942179 aut Quantum mechanics and quantum information a guide through the quantum world Moses Fayngold and Vadim Fayngold Weinheim Wiley-VCH 2013 XX, 844 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Physics textbook Quanteninformatik (DE-588)4705961-8 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 s DE-604 Quanteninformatik (DE-588)4705961-8 s Fayngold, Vadim Verfasser (DE-588)1034442376 aut X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4216931&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025877598&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fayngold, Moses Fayngold, Vadim Quantum mechanics and quantum information a guide through the quantum world Quanteninformatik (DE-588)4705961-8 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4705961-8 (DE-588)4047989-4 |
| title | Quantum mechanics and quantum information a guide through the quantum world |
| title_auth | Quantum mechanics and quantum information a guide through the quantum world |
| title_exact_search | Quantum mechanics and quantum information a guide through the quantum world |
| title_full | Quantum mechanics and quantum information a guide through the quantum world Moses Fayngold and Vadim Fayngold |
| title_fullStr | Quantum mechanics and quantum information a guide through the quantum world Moses Fayngold and Vadim Fayngold |
| title_full_unstemmed | Quantum mechanics and quantum information a guide through the quantum world Moses Fayngold and Vadim Fayngold |
| title_short | Quantum mechanics and quantum information |
| title_sort | quantum mechanics and quantum information a guide through the quantum world |
| title_sub | a guide through the quantum world |
| topic | Quanteninformatik (DE-588)4705961-8 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Quanteninformatik Quantenmechanik |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4216931&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025877598&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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