The historical and physical foundations of quantum mechanics:
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| Language: | English |
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Oxford
Oxford University Press
[2023]
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xiii, 747 Seiten Illustrationen, Diagramme |
| ISBN: | 9780198822196 9780198822189 |
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| 020 | |a 9780198822196 |c pbk. |9 978-0-19-882219-6 | ||
| 020 | |a 9780198822189 |c hbk. |9 978-0-19-882218-9 | ||
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| 100 | 1 | |a Golub, Robert |d 19XX- |e Verfasser |0 (DE-588)1283343479 |4 aut | |
| 245 | 1 | 0 | |a The historical and physical foundations of quantum mechanics |c Robert Golub, Steven K. Lamoreaux |
| 264 | 1 | |a Oxford |b Oxford University Press |c [2023] | |
| 264 | 4 | |c © 2023 | |
| 300 | |a xiii, 747 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Quantentheorie |0 (DE-588)4047992-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantenmechanik |0 (DE-588)4047989-4 |2 gnd |9 rswk-swf |
| 653 | 0 | |a Quantum theory | |
| 653 | 0 | |a Quantum theory / History | |
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| 689 | 0 | 1 | |a Quantentheorie |0 (DE-588)4047992-4 |D s |
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| 700 | 1 | |a Lamoreaux, Steve Keith |d 1958- |e Verfasser |0 (DE-588)120248400X |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung Deutsches Museum |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034056470&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Record in the Search Index
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| adam_text |
CONTENTS
PART I BASIS
OF
THE THEORY
1 INTRODUCTION
3
1.1
OVERVIEW
3
1.2
THE PREHISTORY
OF
QUANTUM MECHANICS:
ATOMISM
5
1.3
RELIGION
AND SCIENCE
11
1.4
BIRTH
OF
THE
MODERN
ATOMIC
THEORY
OF MATTER
13
1.5
ATOMISM
AND
PHYSICS
15
2
PROPERTIES
OF
THE
QUANTUM WORLD:
INDETERMINACY, INTERFER-
ENCE, SUPERPOSITION,
ENTANGLEMENT
22
2.1 INDETERMINACY-RANDOM
BEHAVIOR
22
2.2 THE
WAVE NATURE
OF
LIGHT
AND
MATTER AND
ITS
CONNECTION
WITH RANDOM
BEHAVIOR
24
2.3
SUPERPOSITION
AND
PROJECTION
30
2.4 ENTANGLEMENT-
"SPOOKY
ACTION
AT A
DISTANCE"
35
2.5 THE
AHARONOV-BOHM
EFFECT
AND
THE
PHYSICAL REALITY
OF ELECTROMAGNETIC
POTENTIALS
36
2.6 QUANTUM
MECHANICS AND
PRECISION MEASUREMENTS
39
2.7
SYNOPSIS
43
3
THE
ORIGIN OF QUANTUM
THEORY
IN
THE
CRISIS
OF CLASSICAL
PHYSICS
45
3.1 BLACK BODY
RADIATION
45
3.2
EINSTEIN FURTHER DEVELOPS
THE
QUANTUM
IDEA
54
3.3 THE BOHR
ATOM
63
3.4
CONCLUSION
65
4
5
FURTHER
STEPS
TO
QUANTUM MECHANICS:
THE
OLD QUANTUM
ME-
CHANICS
OF
BOHR
AND
SOMMERFELD
66
4.1 QUANTIZATION
CONDITIONS
66
4.2 "OLD"
QUANTUM
THEORY
67
4.3
TOWARD
QUANTUM MECHANICS:
CLASSICAL
MECHANICS AS
THE
LIMIT
OF A
WAVE MOTION
75
4.4 CONCLUSION
77
FURTHER
STEPS
TO
QUANTUM
MECHANICS:
LOUIS DE BROGLIE
AND
THE
WORLD'S MOST
IMPORTANT PHD
THESIS
78
5.1
INTRODUCTION
78
5.2
DE BROGLIE'S
CONTRIBUTION
79
5.3 APPENDIX
TO
CHAPTER
5-COMPTON
SCATTERING
86
$
B1IOTHEK
DEUTSCHES
MUSEUM
HLUENCHE'A
X
CONTENTS
6
THE
INVENTION
OF QUANTUM MECHANICS-MATRIX
MECHANICS
87
6.1
INTRODUCTION 87
6.2
HEISENBERG
REDISCOVERS MATRICES
88
6.3
THE
FOUNDING
OF MATRIX MECHANICS
BY BORN, JORDAN,
AND
HEISENBERG 90
6.4
FURTHER
DEVELOPMENTS 101
6.5
CONCLUSION 101
7
SCHROEDINGER
AND
THE
DEVELOPMENT
OF WAVE
MECHANICS
103
7.1
IDEAS LEADING
TO
WAVE
MECHANICS
103
7.2
THE DEVELOPMENT
OF
WAVE MECHANICS
AS PRESENTED
IN
SCHROEDINGER'S
PUBLICATIONS
111
7.3
FIRST
APPLICATIONS OF
THE
WAVE
EQUATION
118
7.4
THE
RELATION
BETWEEN
MATRIX AND WAVE
MECHANICS
128
8
FURTHER DEVELOPMENTS
OF WAVE
MECHANICS
BY SCHROEDINGER
138
8.1
INTRODUCTION
138
8.2
PERTURBATION
THEORY
138
8.3
THE
TIME-DEPENDENT
SCHROEDINGER
EQUATION
140
8.4
CONCLUSION
147
9
QUANTUM
STATISTICS AND
THE
ORIGIN
OF
WAVE
MECHANICS
149
9.1
BOSE-EINSTEIN
STATISTICS
149
9.2
FERMI-DIRAC
STATISTICS
173
9.3
CONCLUSION
193
10
EARLY
ATTEMPTS AT
INTERPRETATION
OF
THE THEORY
196
10.1
INTRODUCTION
196
10.2
SCHROEDINGER
AND
THE
SPREADING
OF WAVE PACKETS
196
10.3
BORN'S
INSIGHT
AND
THE
LOSS
OF
DETERMINACY IN
PHYSICS
200
10.4
HEISENBERG'S
UNCERTAINTY PRINCIPLE
206
10.5
NIELS BOHR
AND COMPLEMENTARITY:
THE
COPENHAGEN
INTERPRETATION
OF QUANTUM MECHANICS
214
10.6
CONFLICTING
VIEWS ON
QUANTUM
JUMPS
216
10.7
CHRONOLOGY
OF
BOHR-HEISENBERG-SCHROEDINGER DISCUSSIONS
220
11 THE
FINAL
SYNTHESIS OF QUANTUM MECHANICS:
THE
"TRANSFORMA-
TION THEORY"
AND
DIRAC
NOTATION
221
11.1
INTRODUCTION
221
11.2
STURM-LIOUVILLE
THEORY,
HILBERT
SPACE, AND
LINEAR
OPERATORS
224
11.3
DIRAC'S BRA-KET
NOTATION
234
11.4
GENERAL FEATURES
OF
THE THEORY
AND
DIRAC
NOTATION
242
12
DIRAC
AND
JORDAN
COMMIT
"SIN
SQUARED":
SECOND QUANTIZATION
AND
THE
BEGINNING
OF QUANTUM
FIELD
THEORY
245
12.1
INTRODUCTION
245
12.2
DIRAC'S
Q-NUMBERS,
OPERATORS, AND
THE
QUANTUM MECHANICS OF
DIRAC,
JORDAN,
AND VON
NEUMANN
246
CONTENTS
XI
12.3
THE BEGINNING
OF
QUANTUM
FIELD
THEORY
254
12.4
EHRENFEST'S
THEOREM
AND
THE
CLASSICAL
LIMIT
OF QUANTUM
MECHANICS
290
12.5
STABILITY
OF MATTER-SECOND
QUANTIZATION
291
13
THE
"COMPLETION
OF QUANTUM
MECHANICS"-THE
FIFTH
SOLVAY
CONFERENCE
ON
PHYSICS,
OCTOBER 1927
293
13.1
INTRODUCTION
293
13.2
THE
COLLAPSE
OF
THE
WAVE
FUNCTION
AND
ITS
MEANING-THE
MEASURE-
MENT
PROBLEM
296
13.3
WAVE-PARTICLE
DUALITY
299
13.4
EINSTEIN
AND
BOHR:
THE
BATTLE
OF
THE
CENTURY?
308
13.5
THE
QUESTION
OF
3N
DIMENSIONS
319
13.6
CONCLUSION
320
14
VON NEUMANN'S
MATHEMATICAL
FOUNDATIONS
OF
QUANTUM
MECHANICS:
REDUX
321
14.1
INTRODUCTION
321
14.2
VON
NEUMANN'S
MEASUREMENT
THEORY
324
14.3
NO HIDDEN
PARAMETERS
PROOF
327
14.4
VON
NEUMANN
ENTROPY
335
14.5
CONCLUSION
339
15
EINSTEIN
AND
SCHROEDINGER
RENEW
THE
ASSAULT
ON
QUANTUM
ME-
CHANICS
343
15.1
INTRODUCTION
343
15.2
EINSTEIN
ATTACKS QUANTUM
THEORY
346
15.3
REACTIONS
TO THE
EINSTEIN
PODOLSKY
ROSEN
(EPR)
ARGUMENT
351
15.4
SUMMARY
OF
HISTORICAL
COMMENTARY
367
15.5
BELL INEQUALITIES
368
15.6
ENTANGLED
PHOTONS
369
15.7
ENTANGLEMENT
IN
THE
DENSITY
MATRIX
378
15.8
CONCLUSION
388
16
WEIMAR
CULTURE
AND QUANTUM
MECHANICS
391
16.1
INTRODUCTION
391
16.2
THE
WEIMAR
REPUBLIC,
A
BRIEF HISTORY
392
16.3
WEIMAR
CULTURE'
405
16.4
PHYSICS IN
THE
WEIMAR REPUBLIC
411
16.5
CONCLUSION
433
17
FURTHER
DEVELOPMENT
OF
THE
INTERPRETATION
OF QUANTUM
THEORY
435
17.1
INTRODUCTION
435
17.2
SCHROEDINGER
438
17.3
LONDON
AND
BAUER
440
17.4
DAVID
BOHM
447
17.5
HUGH
EVERETT III
AND
THE
WORLD'S
SECOND
MOST
IMPORTANT
PHD
THESIS(?
)
453
17.6
DECOHERENCE
468
XII
CONTENTS
17.7
(SPONTANEOUS)
DIRECT
WAVE
FUNCTION
COLLAPSE
489
17.8
SECOND
QUANTIZATION AND PARTICLE-WAVE
DUALITY
493
17.9
CONCLUSION
494
PART II APPLICATIONS OF QUANTUM
MECHANICS
18
OPERATOR
TECHNIQUES
AND
THE
ALGEBRAIC SOLUTIONS
OF PROBLEMS
501
18.1
INTRODUCTION
501
18.2
UNCERTAINTY
RELATIONSHIPS VIA OPERATOR
TECHNIQUES
502
18.3
PICTURES
504
18.4
LADDER
OPERATORS
512
18.5
HARMONIC
OSCILLATOR
513
18.6
COHERENT
STATES
517
18.7
TWO-DIMENSIONAL HARMONIC
OSCILLATOR
537
18.8
2D HARMONIC
OSCILLATOR SOLUTION
TO THE
H
ATOM
540
18.9
SUM
RULES AND SUMMATION
TECHNIQUES
542
18.10BENZENE
MOLECULE 559
18.11
ANGULAR
MOMENTUM:
AN OPERATOR APPROACH
561
18.12
ALGEBRAIC
DERIVATION
OF
THE
HYDROGEN
SPECTRUM
583
18.13
THE WKB
APPROXIMATION:
BOUNDARY
CONDITIONS
BY
COMPLEX ANAL-
YSIS
591
19
SPIN-1/2
AND
TWO-LEVEL
SYSTEMS
597
19.1
LARMOR'S
THEOREM
597
19.2
PAULI
MATRICES
605
19.3
VECTOR
REPRESENTATION OF SPIN AND
SPINOR ROTATION SYMMETRY
606
19.4
THE
EFFECTS OF NEAR-RESONANT
OSCILLATING MAGNETIC
FIELDS
610
19.5
EFFECTS
OF
TIME-DEPENDENT,
NONRESONANT
VARIATIONS
OF
THE
POTENTIAL
612
19.6
THE DENSITY
MATRIX
621
19.7
GENERAL
APPLICATION
TO TWO-LEVEL
SYSTEMS:
FICTITIOUS
SPIN-1/2
628
20
PATH INTEGRALS
AND SCATTERING
635
20.1 INTRODUCTION
635
20.2 PATH INTEGRALS
635
20.3
AN
INTRODUCTION
TO
SCATTERING OF
NONRELATIVISTIC PARTICLES
BY
A MANY-BODY
SYSTEM
643
20.4
CONCLUSION
657
21
INTRODUCTION
TO
QUANTUM COMPUTING
(WITH
THE
ASSISTANCE OF
EDWARD D. DAVIS)
659
21.1
OVERVIEW
659
21.2
THE BASIC
IDEAS
668
21.3 UNITARY
OPERATIONS
672
21.4
A
PHYSICAL MODEL OF A QUANTUM COMPUTER
676
21.5
SOME
ADDITIONAL
ALGORITHMS
679
21.6
FACTORING-THE HOLY
GRAIL
OF QUANTUM
COMPUTING
683
21.7
CONCLUSION
693
CONTENTS
AN
APPENDICES
A
CLASSICAL
MECHANICS
696
A.
1
INTRODUCTION
696
A.
2
LAGRANGIAN
MECHANICS
696
A.
3
HAMILTONIAN
MECHANICS
703
A.
4
TRANSFORMATIONS
OF COORDINATES-CANONICAL
TRANSFORMATIONS
AND
THE
HAMILTON-JACOBI
EQUATION
705
A.
5
ACTION-ANGLE
VARIABLES
710
A.
6
CONCLUSION
714
B
GALILEAN
INVARIANCE
OF
THE
SCHROEDINGER
EQUATION
715
B.
1
ALTERNATIVE
TEST
OF
GALILEAN
INVARIANCE
718
B.
2 INTERNAL
COORDINATES
AND
MOMENTA
FOR
A
TWO-
AND MULTI-PARTICLE
SYSTEM
718
C
UNIVERSALITY
OF
PLANCK'S
CONSTANT
720
D
CONSERVATION LAWS
722
E
LAGRANGIAN
AND
HAMILTONIAN
FORMALISM
FOR
CLASSICAL
FIELDS 726
E.
1 LAGRANGIAN
FOR
A CLASSICAL
CONTINUOUS
FIELD:
EXAMPLE
OF A VIBRATING
STRING
726
E.
2 LAGRANGE'S
EQUATIONS
FOR
A CLASSICAL
CONTINUOUS
FIELD
727
E.
3
HAMILTONIAN
FORMULATION
FOR
CLASSICAL
CONTINUOUS
FIELDS 728
INDEX
731 |
| adam_txt |
CONTENTS
PART I BASIS
OF
THE THEORY
1 INTRODUCTION
3
1.1
OVERVIEW
3
1.2
THE PREHISTORY
OF
QUANTUM MECHANICS:
ATOMISM
5
1.3
RELIGION
AND SCIENCE
11
1.4
BIRTH
OF
THE
MODERN
ATOMIC
THEORY
OF MATTER
13
1.5
ATOMISM
AND
PHYSICS
15
2
PROPERTIES
OF
THE
QUANTUM WORLD:
INDETERMINACY, INTERFER-
ENCE, SUPERPOSITION,
ENTANGLEMENT
22
2.1 INDETERMINACY-RANDOM
BEHAVIOR
22
2.2 THE
WAVE NATURE
OF
LIGHT
AND
MATTER AND
ITS
CONNECTION
WITH RANDOM
BEHAVIOR
24
2.3
SUPERPOSITION
AND
PROJECTION
30
2.4 ENTANGLEMENT-
"SPOOKY
ACTION
AT A
DISTANCE"
35
2.5 THE
AHARONOV-BOHM
EFFECT
AND
THE
PHYSICAL REALITY
OF ELECTROMAGNETIC
POTENTIALS
36
2.6 QUANTUM
MECHANICS AND
PRECISION MEASUREMENTS
39
2.7
SYNOPSIS
43
3
THE
ORIGIN OF QUANTUM
THEORY
IN
THE
CRISIS
OF CLASSICAL
PHYSICS
45
3.1 BLACK BODY
RADIATION
45
3.2
EINSTEIN FURTHER DEVELOPS
THE
QUANTUM
IDEA
54
3.3 THE BOHR
ATOM
63
3.4
CONCLUSION
65
4
5
FURTHER
STEPS
TO
QUANTUM MECHANICS:
THE
OLD QUANTUM
ME-
CHANICS
OF
BOHR
AND
SOMMERFELD
66
4.1 QUANTIZATION
CONDITIONS
66
4.2 "OLD"
QUANTUM
THEORY
67
4.3
TOWARD
QUANTUM MECHANICS:
CLASSICAL
MECHANICS AS
THE
LIMIT
OF A
WAVE MOTION
75
4.4 CONCLUSION
77
FURTHER
STEPS
TO
QUANTUM
MECHANICS:
LOUIS DE BROGLIE
AND
THE
WORLD'S MOST
IMPORTANT PHD
THESIS
78
5.1
INTRODUCTION
78
5.2
DE BROGLIE'S
CONTRIBUTION
79
5.3 APPENDIX
TO
CHAPTER
5-COMPTON
SCATTERING
86
$
B1IOTHEK
DEUTSCHES
MUSEUM
HLUENCHE'A
X
CONTENTS
6
THE
INVENTION
OF QUANTUM MECHANICS-MATRIX
MECHANICS
87
6.1
INTRODUCTION 87
6.2
HEISENBERG
REDISCOVERS MATRICES
88
6.3
THE
FOUNDING
OF MATRIX MECHANICS
BY BORN, JORDAN,
AND
HEISENBERG 90
6.4
FURTHER
DEVELOPMENTS 101
6.5
CONCLUSION 101
7
SCHROEDINGER
AND
THE
DEVELOPMENT
OF WAVE
MECHANICS
103
7.1
IDEAS LEADING
TO
WAVE
MECHANICS
103
7.2
THE DEVELOPMENT
OF
WAVE MECHANICS
AS PRESENTED
IN
SCHROEDINGER'S
PUBLICATIONS
111
7.3
FIRST
APPLICATIONS OF
THE
WAVE
EQUATION
118
7.4
THE
RELATION
BETWEEN
MATRIX AND WAVE
MECHANICS
128
8
FURTHER DEVELOPMENTS
OF WAVE
MECHANICS
BY SCHROEDINGER
138
8.1
INTRODUCTION
138
8.2
PERTURBATION
THEORY
138
8.3
THE
TIME-DEPENDENT
SCHROEDINGER
EQUATION
140
8.4
CONCLUSION
147
9
QUANTUM
STATISTICS AND
THE
ORIGIN
OF
WAVE
MECHANICS
149
9.1
BOSE-EINSTEIN
STATISTICS
149
9.2
FERMI-DIRAC
STATISTICS
173
9.3
CONCLUSION
193
10
EARLY
ATTEMPTS AT
INTERPRETATION
OF
THE THEORY
196
10.1
INTRODUCTION
196
10.2
SCHROEDINGER
AND
THE
SPREADING
OF WAVE PACKETS
196
10.3
BORN'S
INSIGHT
AND
THE
LOSS
OF
DETERMINACY IN
PHYSICS
200
10.4
HEISENBERG'S
UNCERTAINTY PRINCIPLE
206
10.5
NIELS BOHR
AND COMPLEMENTARITY:
THE
COPENHAGEN
INTERPRETATION
OF QUANTUM MECHANICS
214
10.6
CONFLICTING
VIEWS ON
QUANTUM
JUMPS
216
10.7
CHRONOLOGY
OF
BOHR-HEISENBERG-SCHROEDINGER DISCUSSIONS
220
11 THE
FINAL
SYNTHESIS OF QUANTUM MECHANICS:
THE
"TRANSFORMA-
TION THEORY"
AND
DIRAC
NOTATION
221
11.1
INTRODUCTION
221
11.2
STURM-LIOUVILLE
THEORY,
HILBERT
SPACE, AND
LINEAR
OPERATORS
224
11.3
DIRAC'S BRA-KET
NOTATION
234
11.4
GENERAL FEATURES
OF
THE THEORY
AND
DIRAC
NOTATION
242
12
DIRAC
AND
JORDAN
COMMIT
"SIN
SQUARED":
SECOND QUANTIZATION
AND
THE
BEGINNING
OF QUANTUM
FIELD
THEORY
245
12.1
INTRODUCTION
245
12.2
DIRAC'S
Q-NUMBERS,
OPERATORS, AND
THE
QUANTUM MECHANICS OF
DIRAC,
JORDAN,
AND VON
NEUMANN
246
CONTENTS
XI
12.3
THE BEGINNING
OF
QUANTUM
FIELD
THEORY
254
12.4
EHRENFEST'S
THEOREM
AND
THE
CLASSICAL
LIMIT
OF QUANTUM
MECHANICS
290
12.5
STABILITY
OF MATTER-SECOND
QUANTIZATION
291
13
THE
"COMPLETION
OF QUANTUM
MECHANICS"-THE
FIFTH
SOLVAY
CONFERENCE
ON
PHYSICS,
OCTOBER 1927
293
13.1
INTRODUCTION
293
13.2
THE
COLLAPSE
OF
THE
WAVE
FUNCTION
AND
ITS
MEANING-THE
MEASURE-
MENT
PROBLEM
296
13.3
WAVE-PARTICLE
DUALITY
299
13.4
EINSTEIN
AND
BOHR:
THE
BATTLE
OF
THE
CENTURY?
308
13.5
THE
QUESTION
OF
3N
DIMENSIONS
319
13.6
CONCLUSION
320
14
VON NEUMANN'S
MATHEMATICAL
FOUNDATIONS
OF
QUANTUM
MECHANICS:
REDUX
321
14.1
INTRODUCTION
321
14.2
VON
NEUMANN'S
MEASUREMENT
THEORY
324
14.3
NO HIDDEN
PARAMETERS
PROOF
327
14.4
VON
NEUMANN
ENTROPY
335
14.5
CONCLUSION
339
15
EINSTEIN
AND
SCHROEDINGER
RENEW
THE
ASSAULT
ON
QUANTUM
ME-
CHANICS
343
15.1
INTRODUCTION
343
15.2
EINSTEIN
ATTACKS QUANTUM
THEORY
346
15.3
REACTIONS
TO THE
EINSTEIN
PODOLSKY
ROSEN
(EPR)
ARGUMENT
351
15.4
SUMMARY
OF
HISTORICAL
COMMENTARY
367
15.5
BELL INEQUALITIES
368
15.6
ENTANGLED
PHOTONS
369
15.7
ENTANGLEMENT
IN
THE
DENSITY
MATRIX
378
15.8
CONCLUSION
388
16
WEIMAR
CULTURE
AND QUANTUM
MECHANICS
391
16.1
INTRODUCTION
391
16.2
THE
WEIMAR
REPUBLIC,
A
BRIEF HISTORY
392
16.3
WEIMAR
CULTURE'
405
16.4
PHYSICS IN
THE
WEIMAR REPUBLIC
411
16.5
CONCLUSION
433
17
FURTHER
DEVELOPMENT
OF
THE
INTERPRETATION
OF QUANTUM
THEORY
435
17.1
INTRODUCTION
435
17.2
SCHROEDINGER
438
17.3
LONDON
AND
BAUER
440
17.4
DAVID
BOHM
447
17.5
HUGH
EVERETT III
AND
THE
WORLD'S
SECOND
MOST
IMPORTANT
PHD
THESIS(?
)
453
17.6
DECOHERENCE
468
XII
CONTENTS
17.7
(SPONTANEOUS)
DIRECT
WAVE
FUNCTION
COLLAPSE
489
17.8
SECOND
QUANTIZATION AND PARTICLE-WAVE
DUALITY
493
17.9
CONCLUSION
494
PART II APPLICATIONS OF QUANTUM
MECHANICS
18
OPERATOR
TECHNIQUES
AND
THE
ALGEBRAIC SOLUTIONS
OF PROBLEMS
501
18.1
INTRODUCTION
501
18.2
UNCERTAINTY
RELATIONSHIPS VIA OPERATOR
TECHNIQUES
502
18.3
PICTURES
504
18.4
LADDER
OPERATORS
512
18.5
HARMONIC
OSCILLATOR
513
18.6
COHERENT
STATES
517
18.7
TWO-DIMENSIONAL HARMONIC
OSCILLATOR
537
18.8
2D HARMONIC
OSCILLATOR SOLUTION
TO THE
H
ATOM
540
18.9
SUM
RULES AND SUMMATION
TECHNIQUES
542
18.10BENZENE
MOLECULE 559
18.11
ANGULAR
MOMENTUM:
AN OPERATOR APPROACH
561
18.12
ALGEBRAIC
DERIVATION
OF
THE
HYDROGEN
SPECTRUM
583
18.13
THE WKB
APPROXIMATION:
BOUNDARY
CONDITIONS
BY
COMPLEX ANAL-
YSIS
591
19
SPIN-1/2
AND
TWO-LEVEL
SYSTEMS
597
19.1
LARMOR'S
THEOREM
597
19.2
PAULI
MATRICES
605
19.3
VECTOR
REPRESENTATION OF SPIN AND
SPINOR ROTATION SYMMETRY
606
19.4
THE
EFFECTS OF NEAR-RESONANT
OSCILLATING MAGNETIC
FIELDS
610
19.5
EFFECTS
OF
TIME-DEPENDENT,
NONRESONANT
VARIATIONS
OF
THE
POTENTIAL
612
19.6
THE DENSITY
MATRIX
621
19.7
GENERAL
APPLICATION
TO TWO-LEVEL
SYSTEMS:
FICTITIOUS
SPIN-1/2
628
20
PATH INTEGRALS
AND SCATTERING
635
20.1 INTRODUCTION
635
20.2 PATH INTEGRALS
635
20.3
AN
INTRODUCTION
TO
SCATTERING OF
NONRELATIVISTIC PARTICLES
BY
A MANY-BODY
SYSTEM
643
20.4
CONCLUSION
657
21
INTRODUCTION
TO
QUANTUM COMPUTING
(WITH
THE
ASSISTANCE OF
EDWARD D. DAVIS)
659
21.1
OVERVIEW
659
21.2
THE BASIC
IDEAS
668
21.3 UNITARY
OPERATIONS
672
21.4
A
PHYSICAL MODEL OF A QUANTUM COMPUTER
676
21.5
SOME
ADDITIONAL
ALGORITHMS
679
21.6
FACTORING-THE HOLY
GRAIL
OF QUANTUM
COMPUTING
683
21.7
CONCLUSION
693
CONTENTS
AN
APPENDICES
A
CLASSICAL
MECHANICS
696
A.
1
INTRODUCTION
696
A.
2
LAGRANGIAN
MECHANICS
696
A.
3
HAMILTONIAN
MECHANICS
703
A.
4
TRANSFORMATIONS
OF COORDINATES-CANONICAL
TRANSFORMATIONS
AND
THE
HAMILTON-JACOBI
EQUATION
705
A.
5
ACTION-ANGLE
VARIABLES
710
A.
6
CONCLUSION
714
B
GALILEAN
INVARIANCE
OF
THE
SCHROEDINGER
EQUATION
715
B.
1
ALTERNATIVE
TEST
OF
GALILEAN
INVARIANCE
718
B.
2 INTERNAL
COORDINATES
AND
MOMENTA
FOR
A
TWO-
AND MULTI-PARTICLE
SYSTEM
718
C
UNIVERSALITY
OF
PLANCK'S
CONSTANT
720
D
CONSERVATION LAWS
722
E
LAGRANGIAN
AND
HAMILTONIAN
FORMALISM
FOR
CLASSICAL
FIELDS 726
E.
1 LAGRANGIAN
FOR
A CLASSICAL
CONTINUOUS
FIELD:
EXAMPLE
OF A VIBRATING
STRING
726
E.
2 LAGRANGE'S
EQUATIONS
FOR
A CLASSICAL
CONTINUOUS
FIELD
727
E.
3
HAMILTONIAN
FORMULATION
FOR
CLASSICAL
CONTINUOUS
FIELDS 728
INDEX
731 |
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| author | Golub, Robert 19XX- Lamoreaux, Steve Keith 1958- |
| author_GND | (DE-588)1283343479 (DE-588)120248400X |
| author_facet | Golub, Robert 19XX- Lamoreaux, Steve Keith 1958- |
| author_role | aut aut |
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| building | Verbundindex |
| bvnumber | BV048682121 |
| classification_rvk | UB 2430 UK 2000 UK 1000 UK 1200 |
| ctrlnum | (OCoLC)1374362242 (DE-599)BVBBV048682121 |
| discipline | Physik |
| discipline_str_mv | Physik |
| format | Book |
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| id | DE-604.BV048682121 |
| illustrated | Illustrated |
| index_date | 2024-07-03T21:25:35Z |
| indexdate | 2025-02-24T15:01:13Z |
| institution | BVB |
| isbn | 9780198822196 9780198822189 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034056470 |
| oclc_num | 1374362242 |
| open_access_boolean | |
| owner | DE-706 DE-11 DE-210 DE-83 DE-703 DE-19 DE-BY-UBM DE-20 |
| owner_facet | DE-706 DE-11 DE-210 DE-83 DE-703 DE-19 DE-BY-UBM DE-20 |
| physical | xiii, 747 Seiten Illustrationen, Diagramme |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Oxford University Press |
| record_format | marc |
| spelling | Golub, Robert 19XX- Verfasser (DE-588)1283343479 aut The historical and physical foundations of quantum mechanics Robert Golub, Steven K. Lamoreaux Oxford Oxford University Press [2023] © 2023 xiii, 747 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Quantentheorie (DE-588)4047992-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantum theory Quantum theory / History Quantenmechanik (DE-588)4047989-4 s Quantentheorie (DE-588)4047992-4 s DE-604 Lamoreaux, Steve Keith 1958- Verfasser (DE-588)120248400X aut Digitalisierung Deutsches Museum application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034056470&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Golub, Robert 19XX- Lamoreaux, Steve Keith 1958- The historical and physical foundations of quantum mechanics Quantentheorie (DE-588)4047992-4 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4047992-4 (DE-588)4047989-4 |
| title | The historical and physical foundations of quantum mechanics |
| title_auth | The historical and physical foundations of quantum mechanics |
| title_exact_search | The historical and physical foundations of quantum mechanics |
| title_exact_search_txtP | The historical and physical foundations of quantum mechanics |
| title_full | The historical and physical foundations of quantum mechanics Robert Golub, Steven K. Lamoreaux |
| title_fullStr | The historical and physical foundations of quantum mechanics Robert Golub, Steven K. Lamoreaux |
| title_full_unstemmed | The historical and physical foundations of quantum mechanics Robert Golub, Steven K. Lamoreaux |
| title_short | The historical and physical foundations of quantum mechanics |
| title_sort | the historical and physical foundations of quantum mechanics |
| topic | Quantentheorie (DE-588)4047992-4 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Quantentheorie Quantenmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034056470&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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