Quantum processes:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey [u.a.]
World Scientific
2011
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Item Description: | Literaturverz. S. 393 |
| Physical Description: | XX, 399 S. Ill., graph. Darst. |
| ISBN: | 9812796568 9789812796561 |
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MARC
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| 245 | 1 | 0 | |a Quantum processes |c Wolfram Schommers |
| 264 | 1 | |a New Jersey [u.a.] |b World Scientific |c 2011 | |
| 300 | |a XX, 399 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804139323236286464 |
|---|---|
| adam_text | Contents
Foreword
v
1.
Conventional
Quantum
Theory
1
1.1.
Classical Description
................ 1
1.2. Schrödinger s
Equations
.............. 2
1.2.1.
Operator Treatment of
Schrödinger s
Equation
.................. 4
1.2.2.
Momentum Representation
........ 5
1.3.
Uncertainty Relations
............... 7
1.4.
Individuals
..................... 9
1.5.
Conclusion
..................... 14
1.6.
Aspects
....................... 14
1.6.1.
The Principle of Complementarity
.... 14
1.6.2.
Objectivity
................. 16
1.7.
Remarks on the Superposition Principle
...... 16
1.8.
Basic New Experiments
.............. 20
1.8.1.
General Remarks
.............. 20
1.8.2.
Conclusion
................. 23
2.
Projection Theory
25
2.1.
Preliminary Remarks
................ 25
2.2.
The Projection Principle
.............. 27
2.2.1.
The Elements of Space and Time
..... 27
2.2.2.
Relationship between Matter and
Space-Time
................ 28
2.2.3.
Two Relevant Features
.......... 29
2.2.4.
Two Kinds of Objects
.......... 31
xiii
xiv
Quantum
Processes
2.2.5.
Perception
Processes
............ 31
2.2.6.
Inside
World
and Outside
World
..... 35
2.2.7.
The Influence of Evolution
........ 36
2.2.8.
Information in the Picture versus
Information in Basic Reality (Outside
Reality)
................... 38
2.2.9.
Other Biological Systems
......... 39
2.2.10.
Summary
.................. 42
2.3.
Projections
..................... 42
2.3.1.
Principal Remarks
............. 42
2.3.2.
Mach s Principle
.............. 44
2.3.3.
Conclusion
................. 45
2.3.4.
Other Spaces
................ 45
2.3.4.1.
Fourier-space
.......... 45
2.3.4.2.
The influence of Planck s
constant
............ 46
2.3.4.3.
Reality and its picture
..... 48
2.3.4.4.
Remark
............. 50
2.3.5.
Basic Properties
.............. 51
2.3.5.1.
Operators
............ 51
2.3.5.2.
Conclusion
........... 53
2.3.6.
Basic Transformation Effects
....... 55
2.3.6.1.
Particles
............. 55
2.3.6.2.
Role of time
t
......... 56
2.3.6.3.
Non-local effects
........ 57
2.3.6.4.
Conclusion
........... 58
2.3.7.
Operator Equations
............ 59
2.3.7.1.
Determination of
Ψ(γ,
t)
and
Ψ(ρ, Ε)
........... 59
2.3.7.2.
Remarks
............ 60
2.3.7.3.
Space-specific formulation
... 61
2.3.7.4.
Discussion concerning equations
(2.35)
and
(2.50) ....... 64
2.3.7.5.
Other representations
..... 67
2.3.7.6.
Superposition principle
.... 70
Contents xv
2.3.8.
Processes
.................. 74
2.3.8.1. General
remarks
........ 74
2.3.8.2.
Description of properties and
appearances
........... 75
2.3.8.3.
The meaning of the wave
function
............ 78
2.3.8.4.
Properties of probability
distributions
.......... 81
2.3.8.5.
Does god play dice?
...... 83
2.3.9.
Time
.................... 83
2.3.9.1.
Reference time and selection
processes
............ 84
2.3.9.2.
Structure of reference time
. . 86
2.3.9.3.
Selections
............ 88
2.3.9.4.
Information inside, information
outside
............. 95
2.3.9.5.
Reality outside
......... 96
2.3.9.6.
Constancy phenomena
..... 96
2.3.9.7. Schrödinger s
equation and its
limitations
........... 97
2.3.9.8.
Real situation
.......... 105
2.3.9.9.
r-Dependent systems
..... 107
2.3.9.10.
Some additional remarks
. . . . 108
2.3.9.11.
Uncertainty relation for time and
energy
............. 110
2.3.9.12.
Time within special theory of
relativity
............ 110
2.4.
Summary
...................... 115
3.
Free, Non-interacting Systems (Particles)
117
3.1.
General Remarks
.................. 117
3.2.
The Behaviour of the Basic Equations
....... 119
3.2.1.
The Case
f
(ρο-,Εο)
free = oc
........ 121
3.2.2.
On the Relationship Between po and JSo
■ 122
3.2.3.
The Case
/(ρο,Α)
)ƒ,·<*
φ °°
........ 125
3.2.4.
Conclusion
................. 128
xvi
Quantum Processes
3.3.
Classical and Quantum-Theoretical Elements
. . . 128
3.4.
Behaviour of the Wave Function in (r,
ř)-Space
and
(p,£)-Space
..................... 129
3.5.
Probability Considerations in Connection
with
Ψ(ρο,£ο)
................... 133
3.6.
Normalization Condition
............. 134
3.7.
Mean Values for the Momentum and the Energy
. 137
3.8.
The p,
i-Pool
.................... 140
3.9.
Free, Elementary Systems do not Exist
...... 142
3.10.
No Equation for the Determination of the Wave
Function
Ψ(ρο,£ο)
................. 144
3.10.1.
Additional Physically Relevant Conditions?
144
3.10.2.
Multi-valuedness of the Wave Function
Ф(ро,Д))
.................. 145
3.10.3.
Existence and Non-Existence
....... 146
3.10.4.
Summary
.................. 147
3.11.
Principle of Usefulness
............... 147
3.12.
Further General Remarks
.............. 148
3.13.
Rest Mass Effect
.................. 149
3.14.
Summary
...................... 152
Appendix 3.A
........................ 153
Free System within Usual Quantum Theory
....... 153
З.А.1.
Superposition
Ansatz........... 153
3.A.2. Mean Momentum for a Free System
... 155
3.A.3. Usual Quantum Theory and Projection
Theory
................... 156
Appendix 3.B
........................ 160
Appendix 3.C
........................ 163
Appendix 3.D
........................ 166
The Stationary Case
.................... 166
ЗТЗ.І.
Definition
................. 166
3.D.2. Relevant Properties
............ 167
3.D.3. The Behaviour of the Wave Functions
. . 170
3.D.3.I. Singularities
.......... 170
Contents xvii
3.D.3.2.
The probability argument
. . . 172
3.D.3.3. More details concerning the
potential V(x,y,z)
....... 173
3.D.3.4. Mean value for the energy
. . . 177
3.0.3.5.
Normalization condition
. ... 179
3.D.4. Stationary Systems do not Exist
...... 180
3.D.5. Final Remarks
............... 182
Appendix 3.E
........................ 183
Dependence of Mass on Velocity
............. 183
4.
Interactions
189
4.1.
Interactions within Projection Theory
....... 189
4.2.
What does Interaction Mean within Projection
Theory?
....................... 190
4.2.1.
Relationships
................ 191
4.2.2.
Fourier-Effects
............... 192
4.3.
How Basic is the Notion Interaction ?
...... 194
4.3.1.
Classical Force Laws
............ 194
4.3.2.
Equivalent Conceptions
.......... 196
4.3.3.
Further Remarks
.............. 197
4.3.4.
Remarks Concerning Quantum Field
Theory and the Theory of Strings (Branes)
198
4.3.5.
Delocalised Systems in (p,£)-Space
. . . 198
4.3.6.
Summary
.................. 199
4.4.
Description of Interactions within Projection
Theory: Principal Remarks
............. 200
4.4.1.
Space-Time Limiting Interactions
.... 200
4.4.2.
Mutual (Distance-Dependent) Interactions
203
4.4.3.
Specific Treatment in Connection with the
Exchange of Momentum and Energy
... 209
4.4.4.
The p, E-Concert
............. 214
4.4.5.
Individual Processes
............ 217
4.4.6.
Analogy to Conventional Physics
..... 219
4.4.7.
Total Momentum and Total Energy
. . . 220
4.5.
Pair Distributions
.................. 221
xviii
Quantum
Processes
4.5.1.
Information
About the
Interaction
.... 222
4.5.2.
Collective Effects in Connection
with
Ф(р, Е)................
224
4.5.3.
Analysis in
(r,
ř)-Space
........... 225
4.5.4.
Example for
N = 4............ 230
4.5.5.
Further Discussions
............ 233
4.6.
Basic Equations
................... 234
4.6.1.
The Main Features
............. 234
4.6.2.
Some Additional Statements
....... 239
4.6.3.
Classical Formulation
........... 243
4.6.4.
Introduction of Pair Potentials for Certain
Configurations
............... 246
4.6.5.
Interaction Effects
............. 252
4.7.
Energy Levels
.................... 254
4.7.1.
Treatment of the Problem
......... 256
4.7.2.
Specific Properties
............. 258
4.7.3.
Conditional Wave Functions
....... 259
4.7.4.
Еџ
-Fluctuations
.............. 262
4.7.5.
Extension to
N
Subsystems
........ 269
4.7.6.
Summary
.................. 271
4.8.
Distance-Independent Interactions
........ 271
4.8.1.
Principal Remarks
............. 272
4.8.2.
Some Minor Changes
........... 273
4.8.3.
Some Basic Features of
Distance-Independent Interactions
.... 274
4.8.4.
Absolute Space-Time Positions
...... 276
4.8.5.
Arbitrary Jumps
.............. 278
4.8.6.
Effective Velocities
............. 280
4.8.7.
Space-Effects
................ 285
4.8.8.
Arbitrary Jumps and p,
Е
-States......
287
4.8.9.
Resting and Moving Frames
....... 290
4.8.10.
Arbitrary Jumps within Single Systems
. . 294
4.9.
The Meaning of the Potential Functions
..... 300
4.9.1.
Introduction of a Potential Function in the
Case of Distance-Independent Interactions
(Form Interactions)
............ 301
Contents xix
4.9.2.
Interaction
within Conventional Physics
. 302
4.9.3.
Interaction Potentials are Auxiliary
Elements
.................. 303
4.9.4.
Conventional Physics: What Mechanism is
Behind Interaction?
............ 304
4.9.5.
Gravity... an Occult Quality
...... 305
4.9.6.
Phenomena in Usual Quantum Theory
. 306
4.9.7.
Summary
.................. 307
4.10.
Further Basic Features
............... 308
4.10.1.
Can Systems be Elementary in Character?
308
4.10.2.
Self-Creating Interaction Processes
.... 309
4.11.
Absolute Space-Time Conceptions
........ 312
4.11.1.
Mach s Principle
.............. 312
4.11.2.
The Effect of Inertia within Newton s
Theory
................... 313
4.11.3.
Mach s Principle and Theory of Relativity
314
4.11.4.
Final Remarks
............... 320
4.12.
Relativistic Effects
................. 321
4.12.1.
General Remarks
.............. 321
4.12.2.
Frames of Reference within Projection
Theory
................... 322
4.12.3.
Transformation Formulas
......... 325
4.12.4.
Arbitrary Jumps of the Entire Complex in
Space-Time
................ 327
4.13.
Hierarchy of the Parts in a Part
.......... 328
4.13.1.
Conventional Physics
........... 329
4.13.2.
Is this Principle Realizable within Projection
Theory?
.................. 330
4.13.2.1.
Pictures and p, ^-fluctuations
. 331
4.13.2.2.
No static building blocks
. . . 332
4.13.2.3.
No fluctuations of fluctuations!
335
4.13.2.4.
Independent p, i-fluctuations
. 337
4.13.2.5.
Conclusion
........... 339
4.14.
Granular Space-Time Structures
.......... 340
4.14.1.
Combined Interactions
.......... 341
4.14.2.
Selections
................. 343
xx
Quantum
Processes
4.14.3.
The Unified Whole
............ 344
4.14.4.
Simple Cosmological Considerations
. . . 347
4.14.5.
Arbitrary Motions through Space and Time
348
4.14.6.
Decomposition of the Cosmos
...... 352
4.15.
Summary and Final Remarks
............ 352
5.
Some Basic Questions
361
5.1.
The Particle-Wave Question
............ 361
5.1.1.
No Need for an Experimental Arrangement
362
5.1.2.
What do We Measure?
........... 365
5.1.2.1.
Situation in conventional
quantum theory
........ 365
5.1.2.2.
Situation in projection theory
. 371
5.2.
The Role of the Observer
............. 372
5.2.1.
Compatible with the Principles of Evolution
3 72
5.2.2.
Configurations in Space-Time
....... 375
5.3.
Summary
...................... 378
6.
Summary
381
Bibliography
393
Index
395
QUANTUM
PROC
Space and time are probably the most important
elements in physics. Within the memory of man, all
essential things are represented within the frame of
space-time pictures. This is obviously the most basic
information. What can we say about space and time? It
is normally assumed that the space is a container filled
with matter and that the time is just that which we
measure with our clocks. However, there are some reasons
to take another standpoint and to consider this
container-conception as unrealistic, as prejudice so to
say. Already the philosopher
Immanuel Kant
pointed on
this serious problem.
In this monograph, the author discusses the so-called
projection theory. In contrast to the container-conception
(reality is embedded in space and time), within projection
theory the physical reality is projected onto space and
time and quantum processes are of particular relevance.
Like Whitehead and
Bergson,
the author argues for the
primacy of process.
One of the most interesting results is that projection
theory automatically leads to a new aspect for the notion
time . Here we have not only the time of conventional
physics, which is exclusively treated as an external
parameter, but we obtain within projection theory a
system-specific time. Just this system-specific time might
be of fundamental importance in the future description
of physical systems. For example, the self-assembly of
nano-systems could lead to predictions that are even not
thinkable within usual physics. Also in connection with
cosmology the projection principle must inevitably lead
to fundamentally new statements.
World Scientific
www.worldscientific.com
6785
he
|
| any_adam_object | 1 |
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| id | DE-604.BV035641897 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:42:15Z |
| institution | BVB |
| isbn | 9812796568 9789812796561 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017696669 |
| oclc_num | 213479747 |
| open_access_boolean | |
| owner | DE-703 DE-11 DE-19 DE-BY-UBM |
| owner_facet | DE-703 DE-11 DE-19 DE-BY-UBM |
| physical | XX, 399 S. Ill., graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Schommers, Wolfram 1941- Verfasser (DE-588)107974134 aut Quantum processes Wolfram Schommers New Jersey [u.a.] World Scientific 2011 XX, 399 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 393 Quantum theory Quantentheorie Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017696669&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017696669&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Schommers, Wolfram 1941- Quantum processes Quantum theory Quantentheorie |
| title | Quantum processes |
| title_auth | Quantum processes |
| title_exact_search | Quantum processes |
| title_full | Quantum processes Wolfram Schommers |
| title_fullStr | Quantum processes Wolfram Schommers |
| title_full_unstemmed | Quantum processes Wolfram Schommers |
| title_short | Quantum processes |
| title_sort | quantum processes |
| topic | Quantum theory Quantentheorie |
| topic_facet | Quantum theory Quantentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017696669&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017696669&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT schommerswolfram quantumprocesses |