Operational quantum physics:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin [u.a.]
Springer
1995
|
| Series: | [Lecture notes in physics / M]
31 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 230 S. graph. Darst. |
| ISBN: | 3540593586 |
Staff View
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| 100 | 1 | |a Busch, Paul |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Operational quantum physics |c Paul Busch ; Marian Grabowski ; Pekka J. Lahti |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1995 | |
| 300 | |a XI, 230 S. |b graph. Darst. | ||
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Record in the Search Index
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| adam_text |
CONTENTS
PROLOGUE
.
1
I.
INTRODUCTION
.
5
1.
OBSERVABLES
AS
POV
MEASURES
.
5
1.1.
STATISTICAL
ANALYSIS
OF
AN
EXPERIMENT
.
5
1.2.
POV
MEASURES
ARISING
FROM
ACTUAL
MEASUREMENTS
.
7
1.3.
CONCEPTUAL
PROBLEMS
REQUIRING
POV
MEASURES
.
12
1.4.
NEW
POSSIBILITIES
ENVISAGED
WITH
POV
MEASURES
.
16
2.
HISTORICAL
SURVEY
.
17
II.
THEORY
.
19
1.
HILBERT
SPACE
FRAME
.
19
1.1.
PRELIMINARIES
.
19
1.2.
STATES
AND
OBSERVABLES
.
23
2.
PHYSICAL
AND
MATHEMATICAL
FEATURES
OF
POV
MEASURES
.
25
2.1.
UNSHARP
PROPERTIES
.
25
2.2.
COEXISTENCE
.
26
2.3.
CONSTRUCTING
POV
MEASURES
FROM
PV
MEASURES
.
29
2.4.
NEUMARK
'
S
THEOREM
.
31
2.5.
SYMMETRIE
OPERATORS
AND
CONTRACTIONS
.
32
3.
QUANTUM
MEASUREMENT
THEORY
.
34
3.1.
OPERATIONS
.
35
3.2.
STATE
TRANSFORMERS
.
37
3.3.
MEASUREMENTS
.
39
3.4.
THE
STANDARD
MODEL
.
42
3.5.
REPEATABLE
MEASUREMENTS
.
44
4.
INDIVIDUAL
INTERPRETATION
OF
QUANTUM
MECHANICS
.
46
III.
OBSERVABLES
.
49
1.
OBSERVABLES
AS
COVARIANT
OBJECTS
.
50
2.
POSITION
AND
MOMENTUM
.
53
2.1.
COVARIANCE
PROPERTIES
.
53
2.2.
SHARP
POSITION
AND
MOMENTUM
.
55
2.3.
UNSHARP
POSITION
AND
MOMENTUM
.
59
2.4.
PHASE
SPACE
OBSERVABLES
.
60
X
3.
ANGULAR
MOMENTUM
AND
ANGLE
.
65
3.1.
COVARIANCE
PROPERTIES
.
65
3.2.
ORBITAL
ANGULAR
MOMENTUM
.
67
3.3.
SPIN
.
70
3.4.
ANGLE
OBSERVABLES
.
73
4.
ENERGY
AND
TIME
.
77
4.1.
ENERGY
.
78
4.2.
TIME
.
79
5.
PHOTON
OBSERVABLES
.
82
5.1.
PHOTON
NUMBER
AND
PHASE
.
82
5.2.
JOINT
OBSERVABLES
FOR
THE
QUADRATURE
COMPONENTS
.
88
5.3.
PHOTON
LOCALISATION
.
92
IV.
MEASUREMENTS
.
95
1.
CONTINUOUS
OBSERVABLES
.
95
2.
PAIRS
OF
OBSERVABLES
.
101
2.1.
COEXISTENT
OBSERVABLES
.
101
2.2.
EXAMPLES
.
102
2.3.
COMPLEMENTARY
OBSERVABLES
.
104
2.4.
COUPLING
PROPERTIES
OF
POSITION
AND
MOMENTUM
.
107
2.5.
THE
HEISENBERG
INTERPRETATION
OF
THE
UNCERTAINTY
RELATIONS
.
108
2.6.
COEXISTENCE
OF
COMPLEMENTARY
SPIN
OBSERVABLES
.
109
3.
MEASUREMENTS
AND
CONSERVATION
LAWS
.
110
3.1.
REPEATABLE
MEASUREMENTS
AND
CONSERVATION
LAWS
.
111
3.2.
SPIN
MEASUREMENTS
AND
ROTATION
INVARIANCE
.
112
3.3.
POSITION
MEASUREMENTS
AND
MOMENTUM
CONSERVATION
.
114
V.
UNCERTAINTY
.
117
1.
COARSE-GRAINING
.
118
2.
INFORMATIONAL
COMPLETENESS
.
120
3.
UNSHARPNESS
.
124
3.1.
QUANTUM
INDETERMINISM
AND
CLASSICALITY
CONDITIONS
.
124
3.2.
MEASUREMENT:
DISTURBANCE
VERSUS
INFORMATION
GAIN
.
127
3.3.
UNSHARPNESS
IN
PHASE
SPACE
INFERENCE
.
128
3.4.
IMPOSSIBILITY
OF
INDIVIDUAL
STATE
DETERMINATION
.
131
4.
UNCERTAINTY
RELATIONS
.
134
4.1.
VARIANCE
.
134
4.2.
ALTERNATIVE
MEASURES
OF
UNCERTAINTY
.
137
4.3.
ENTROPY
.
139
XI
VI.
PHASE
SPACE
.
145
1.
REPRESENTATIONS
OF
STATES
AS
PHASE
SPACE
FUNCTIONS
.
145
2.
JOINT
POSITION-MOMENTUM
MEASUREMENT
.
150
2.1.
THE
MODEL
.
151
2.2.
INDETERMINACY
RELATIONS
.
152
2.3.
MUTUAL
DISTURBANCE
.
154
2.4.
REPEATABILITY
FEATURES
.
155
3.
CLASSICAL
LIMIT
.
156
3.1.
CLASSICAL
MEASUREMENT
SITUATION
.
156
3.2.
APPROXIMATELY
IDEAL
MEASUREMENTS
.
159
VII.
EXPERIMENTS
.
165
1.
STERN-GERLACH
EXPERIMENT
.
165
1.1.
IDEAL
FIELD
.
167
1.2.
REALISTIC
MAGNETIC
FIELD
.
171
1.3.
PROPER
SCREEN
OBSERVABLES
.
173
2.
INFORMATIONALLY
COMPLETE
POLARISATION
MEASUREMENT
.
174
3.
MEASUREMENT
SCHEMES
INVOLVING
PHOTONS
.
177
3.1.
PHOTON
COUNTING
AND
A
LOSSLESS
BEAM
SPLITTER
.
177
3.2.
FIRST
KIND
MEASUREMENTS
OF
THE
PHOTON
NUMBER
.
180
3.3.
MEASUREMENT
OF
THE
PHOTON
NUMBER
IN
A
MICROWAVE
CAVITY
.
186
3.4.
PHASE
DISTRIBUTIONS
FROM
NUMBER
STATISTICS
.
189
3.5.
NONDEGENERATE
AMPLIFICATION
AND
TWO-MODE
SQUEEZING
.
191
3.6.
HOMODYNE
DETECTION
.
192
3.7.
JOINT
MEASUREMENT
OF
THE
QUADRATURE
COMPONENTS
.
195
3.8.
ATOMIC
POSITION
MEASUREMENT
.
197
4.
WAVE-PARTICLE
DUALITY
OF
PHOTONS
.
199
4.1.
PHOTON
SPLIT-BEAM
EXPERIMENTS
.
200
4.2.
JOINT
PATH-INTERFERENCE
MEASUREMENTS
FOR
SINGLE
PHOTONS
.
206
EPILOGUE
.
213
REFERENCES
.
215
NOTATIONS
.
225
SUBJECT
INDEX
.
227 |
| any_adam_object | 1 |
| author | Busch, Paul Grabowski, Marian Lahti, Pekka J. 1948- |
| author_GND | (DE-588)115739157 |
| author_facet | Busch, Paul Grabowski, Marian Lahti, Pekka J. 1948- |
| author_role | aut aut aut |
| author_sort | Busch, Paul |
| author_variant | p b pb m g mg p j l pj pjl |
| building | Verbundindex |
| bvnumber | BV010194820 |
| classification_rvk | UD 8221 UK 1000 UK 1200 UK 1250 |
| classification_tum | PHY 022f MAT 285f MAT 479f |
| ctrlnum | (OCoLC)246856546 (DE-599)BVBBV010194820 |
| dewey-full | 530.120151542 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.120151542 |
| dewey-search | 530.120151542 |
| dewey-sort | 3530.120151542 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV010194820 |
| illustrated | Illustrated |
| indexdate | 2025-02-21T09:01:26Z |
| institution | BVB |
| isbn | 3540593586 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006774529 |
| oclc_num | 246856546 |
| open_access_boolean | |
| owner | DE-703 DE-384 DE-29T DE-20 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-634 DE-83 DE-11 |
| owner_facet | DE-703 DE-384 DE-29T DE-20 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-634 DE-83 DE-11 |
| physical | XI, 230 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
| record_format | marc |
| series2 | [Lecture notes in physics / M] |
| spelling | Busch, Paul Verfasser aut Operational quantum physics Paul Busch ; Marian Grabowski ; Pekka J. Lahti Berlin [u.a.] Springer 1995 XI, 230 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier [Lecture notes in physics / M] 31 Quantenphysik (DE-588)4266670-3 gnd rswk-swf Messung (DE-588)4038852-9 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Messprozess (DE-588)4169530-6 gnd rswk-swf Messprozess (DE-588)4169530-6 s Quantenmechanik (DE-588)4047989-4 s DE-604 Messung (DE-588)4038852-9 s Stochastischer Prozess (DE-588)4057630-9 s 1\p DE-604 Quantenphysik (DE-588)4266670-3 s 2\p DE-604 Grabowski, Marian Verfasser aut Lahti, Pekka J. 1948- Verfasser (DE-588)115739157 aut M] [Lecture notes in physics 31 (DE-604)BV021852221 31 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006774529&sequence=000001&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 | Busch, Paul Grabowski, Marian Lahti, Pekka J. 1948- Operational quantum physics Quantenphysik (DE-588)4266670-3 gnd Messung (DE-588)4038852-9 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Quantenmechanik (DE-588)4047989-4 gnd Messprozess (DE-588)4169530-6 gnd |
| subject_GND | (DE-588)4266670-3 (DE-588)4038852-9 (DE-588)4057630-9 (DE-588)4047989-4 (DE-588)4169530-6 |
| title | Operational quantum physics |
| title_auth | Operational quantum physics |
| title_exact_search | Operational quantum physics |
| title_full | Operational quantum physics Paul Busch ; Marian Grabowski ; Pekka J. Lahti |
| title_fullStr | Operational quantum physics Paul Busch ; Marian Grabowski ; Pekka J. Lahti |
| title_full_unstemmed | Operational quantum physics Paul Busch ; Marian Grabowski ; Pekka J. Lahti |
| title_short | Operational quantum physics |
| title_sort | operational quantum physics |
| topic | Quantenphysik (DE-588)4266670-3 gnd Messung (DE-588)4038852-9 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Quantenmechanik (DE-588)4047989-4 gnd Messprozess (DE-588)4169530-6 gnd |
| topic_facet | Quantenphysik Messung Stochastischer Prozess Quantenmechanik Messprozess |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006774529&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021852221 |
| work_keys_str_mv | AT buschpaul operationalquantumphysics AT grabowskimarian operationalquantumphysics AT lahtipekkaj operationalquantumphysics |