Entropy in relation to incomplete knowledge:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Pr.
1985
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 164 S. |
| ISBN: | 0521256771 |
Staff View
MARC
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Record in the Search Index
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| adam_text | IMAGE 1
ENTROPY IN RELATION
TO INCOMPLETE KNOWLEDGE
K. G. D E N B I GH HONORARY RESEARCH FELLOW, CHELSEA COLLEGE UNIVERSITY
OF LONDON J. S. D E N B I GH
MATHEMATICIAN, ST GEORGE S HOSPITAL MEDICAL SCHOOL, LONDON
THE UNIVERSITY HAS PRIMED AND PUBLISHED CONTINUOUSLY SINCE 1584.
CAMBRIDGE UNIVERSITY PRESS
CAMBRIDGE
LONDON NEW YORK NEW ROCHELLE MELBOURNE SYDNEY
IMAGE 2
CONTENTS
PREFACE VII
1 IS ENTROPY SUBJECTIVE IN THERMODYNAMICS?
1.1 INTRODUCTION 1
1.2 OBJECTIVITY AND SUBJECTIVITY 5
1.3 THERMODYNAMIC ENTROPY 9
1.4 T HE INCREASE OF ENTROPY 14
2 IS ENTROPY SUBJECTIVE IN STATISTICAL MECHANICS?
2.1 INTRODUCTION 18
2.2 A SURVEY OF Q U A N T UM MECHANICS 19
2.2.1 STATES OF A SYSTEM 19
2.2.2 OBSERVABLES 21
2.2.3 EIGENVALUES AND EIGENVECTORS 22
2.2.4 THE HAMILTONIAN 24
2.2.5 REVIEW 25
2.3 T HE ASSUMPTIONS OF EQUILIBRIUM STATISTICAL MECHANICS 27
2.4 OUTLINE OF THE RESULTS 39
2.5 ENTROPY, DISORDER AND IGNORANCE 43
2.6 IS ENTROPY A PROPERTY? 47
3 COARSE GRAINING
3.1 INTRODUCTION 49
3.2 G I B B S T R E A T M E NT OF IRREVERSIBILITY 51
3.3 T HE GENERALISED H-THEOREM 53
3.4 COARSE GRAINING REVIEWED 55
3.5 AN APPARENT INCONSISTENCY IN THE THEORETICAL SYSTEM 57
3.6 IRREVERSIBLE PROCESSES FOR WHICH COARSE GRAINING CAN BE DISPENSED
WITH 61
3.7 T HE EXAMPLE OF CHEMICAL REACTION 62
3.8 REVIEW 66
4 IDENTITY AND INDISTINGUISHABILITY
4.1 INTRODUCTION 69
4.2 T HE ADDITIVITY OF THE ENTROPY OF GASES 70
4.3 G I B B S P A R A D OX 74
IMAGE 3
VI CONTENTS
4.4 A RESOLUTION OF THE PARADOX 4.5 A QUANTAL RESOLUTION OF THE PARADOX
AS APPLIED TO STATES 4.6 IDENTITY, NON-INDIVIDUALITY AND
INDISTINGUISHABILITY 4.7 THE SYMMETRY RESTRICTIONS 4.8 BOSE-EINSTEIN
(BE) AND FERMI-DIRAC (FD) STATISTICS
4.9 FROM INDISTINGUISHABILITY TO DISTINGUISHABILITY
5 ENTROPY AND INFORMATION THEORY 5.1 INTRODUCTION 5.2 SHANNON S MEASURE
5.3 JAYNES PRINCIPLE AND STATISTICAL MECHANICS 5.4 BRILLOUIN S
NEGENTROPY PRINCIPLE
5.5 FLUCTUATIONS AND CORRELATIONS 5.6 CONCLUSIONS
APPENDICES
APPENDIX TO CHAPTER 2 2.1 THE QUANTUM AXIOMS 2.2 EQUAL A PRIORI
PROBABILITIES AND RANDOM PHASES 2.3 THE DERIVATION OF THE CANONICAL
DISTRIBUTION FROM THE
MICROCANONICAL DISTRIBUTION 2.4 THE STATISTICAL MECHANICAL ANALOGUES OF
WORK AND HEAT
APPENDIX TO CHAPTER 3 3.1 CORRELATION, RELAXATION AND SPIN ECHO 3.2 THE
GENERALISED *-THEOREM
APPENDIX TO CHAPTER 4 4.1 THE FREE ENERGY AND ENTROPY OF MIXING
4.2 THE CONVERGENCE OF CLASSICAL AND QUANTAL STATISTICS
NOTES
REFERENCES
INDEX
|
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| discipline | Chemie / Pharmazie Physik |
| edition | 1. publ. |
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| indexdate | 2024-07-09T15:13:20Z |
| institution | BVB |
| isbn | 0521256771 |
| language | English |
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| physical | VII, 164 S. |
| publishDate | 1985 |
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| publisher | Cambridge Univ. Pr. |
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| spelling | Denbigh, Kenneth George Verfasser aut Entropy in relation to incomplete knowledge K. G. Denbigh ; J. S. Denbigh 1. publ. Cambridge [u.a.] Cambridge Univ. Pr. 1985 VII, 164 S. txt rdacontent n rdamedia nc rdacarrier Philosophie Entropy Entropy (Information theory) Information Theory Knowledge, Theory of Physics Philosophy Thermodynamics Entropie (DE-588)4014894-4 gnd rswk-swf Entropie (DE-588)4014894-4 s DE-604 Denbigh, Jonathan S. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000244153&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Denbigh, Kenneth George Denbigh, Jonathan S. Entropy in relation to incomplete knowledge Philosophie Entropy Entropy (Information theory) Information Theory Knowledge, Theory of Physics Philosophy Thermodynamics Entropie (DE-588)4014894-4 gnd |
| subject_GND | (DE-588)4014894-4 |
| title | Entropy in relation to incomplete knowledge |
| title_auth | Entropy in relation to incomplete knowledge |
| title_exact_search | Entropy in relation to incomplete knowledge |
| title_full | Entropy in relation to incomplete knowledge K. G. Denbigh ; J. S. Denbigh |
| title_fullStr | Entropy in relation to incomplete knowledge K. G. Denbigh ; J. S. Denbigh |
| title_full_unstemmed | Entropy in relation to incomplete knowledge K. G. Denbigh ; J. S. Denbigh |
| title_short | Entropy in relation to incomplete knowledge |
| title_sort | entropy in relation to incomplete knowledge |
| topic | Philosophie Entropy Entropy (Information theory) Information Theory Knowledge, Theory of Physics Philosophy Thermodynamics Entropie (DE-588)4014894-4 gnd |
| topic_facet | Philosophie Entropy Entropy (Information theory) Information Theory Knowledge, Theory of Physics Philosophy Thermodynamics Entropie |
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