Information theory and quantum physics: physical foundations for understanding the conscious process
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2000
|
| Schriftenreihe: | Texts and monographs in physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 231 - 244 |
| Beschreibung: | IX, 244 S. graph. Darst. |
| ISBN: | 354066517X |
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| 245 | 1 | 0 | |a Information theory and quantum physics |b physical foundations for understanding the conscious process |c Herbert S. Green |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2000 | |
| 300 | |a IX, 244 S. |b graph. Darst. | ||
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| 490 | 0 | |a Texts and monographs in physics | |
| 500 | |a Literaturverz. S. 231 - 244 | ||
| 650 | 0 | 7 | |a Quantenphysik |0 (DE-588)4266670-3 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804127728458268672 |
|---|---|
| adam_text | CONTENTS 1. FIRST PRINCIPLES :::::::::::::::::::::::::::::::::::::::::::
1 1.1 RELATIVITY AND EQUIVALENCE . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 1 1.2 ACTION . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3
INFORMATION AND PROBABILITY . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 7 1.4 UNCERTAINTY AND INDETERMINACY. . . . . . . . . . . .
. . . . . . . . . . . . . . . 11 2. QUANTAL BITS
:::::::::::::::::::::::::::::::::::::::::::::: 15 2.1 CREATION AND
ANNIHILATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. 20 2.2 CLASSICAL GEOMETRY ON A SPHERE . . . . . . . . . . . . . . . .
. . . . . . . . . . 22 2.3 SPIN AND ROTATION . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . 23 2.3.1 THE GROUP OF
ROTATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.4
LORENTZ TRANSFORMATIONS . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 26 2.5 TRANSLATIONS IN SPACE AND TIME . . . . . . . . .
. . . . . . . . . . . . . . . . . 29 2.6 ELEMENTARY STRING THEORY . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 2.7 SUMMARY .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . 34 3. EVENTS IN SPACE AND TIME
:::::::::::::::::::::::::::::::: 37 3.1 PROJECTIVE GEOMETRIES . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 3.2
CLASSICAL GEOMETRY OF SPACE-TIME . . . . . . . . . . . . . . . . . . . .
. . . . 43 3.3 CHANGES OF OBSERVATIONAL FRAME . . . . . . . . . . . . .
. . . . . . . . . . . . 46 3.4 EVENTS AS QUANTAL INFORMATION . . . . . .
. . . . . . . . . . . . . . . . . . . . . 48 3.4.1 SPIN OF THE PHOTON .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 3.5
FERMIONS IN SPACE-TIME . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 51 3.5.1 DIRAC*S EQUATION . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 54 3.5.2 CHARGED AND NEUTRAL PARTICLES
. . . . . . . . . . . . . . . . . . . . . 57 3.6 SUMMARY . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 58 4. QUANTAL *TAPES* ::::::::::::::::::::::::::::::::::::::::::: 61
4.1 REPRESENTATION OF STATES OF HIGHER SPIN . . . . . . . . . . . . . .
. . . . . 63 4.1.1 *TAPES* FOR PARTICLES OF HIGHER SPIN . . . . . . . .
. . . . . . . . 65 4.1.2 MATRICES FOR HIGHER SPIN . . . . . . . . . . .
. . . . . . . . . . . . . . . 67 4.1.3 SPIN 0 AND 1 . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . 68 4.2 MAXWELL*S
EQUATIONS AND THE PHOTON . . . . . . . . . . . . . . . . . . . . . . 71
4.3 SYSTEMS OF FERMIONS . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 73 VIII CONTENTS 4.4 BOSONS . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 75 4.4.1 THE FACTORIZATION TECHNIQUE . . . . . . . . . . . . . . . .
. . . . . . . 76 4.4.2 THE TAPE CONSTRUCTED FROM QUBITS . . . . . . . .
. . . . . . . . 77 4.4.3 SYSTEMS OF BOSONS . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 79 4.5 OBSERVABLES WITH CONTINUOUS
SPECTRA . . . . . . . . . . . . . . . . . . . . . 79 4.5.1
QUASI-CONTINUOUS SPECTRA . . . . . . . . . . . . . . . . . . . . . . . .
. 80 4.6 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . 81 5. OBSERVABLES AND INFORMATION
::::::::::::::::::::::::::::: 83 5.1 RELATIVISTIC AND NON-RELATIVISTIC
APPROXIMATIONS . . . . . . . . . . . 86 5.1.1 ORBITAL ANGULAR MOMENTUM .
. . . . . . . . . . . . . . . . . . . . . . 87 5.2 NON-RELATIVISTIC
QUANTUM MECHANICS . . . . . . . . . . . . . . . . . . . . . . 88 5.2.1
THE HYDROGEN ATOM . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . 89 5.2.2 SCATTERING AND THE S -MATRIX . . . . . . . . . . . . . .
. . . . . . . . . 92 5.3 UNCERTAINTY RELATIONS . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . 94 5.4 SPECIAL RELATIVISTIC
QUANTUM MECHANICS . . . . . . . . . . . . . . . . . . . 96 5.4.1 ELASTIC
SCATTERING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. 98 5.5 SELECTED AND UNSELECTED OBSERVABLES . . . . . . . . . . . . . .
. . . . . . . . 100 5.6 THE FUNDAMENTAL OBSERVABLES OF PHYSICS . . . . .
. . . . . . . . . . . . . 102 5.6.1 SCHR¨ ODINGER*S WAVE MECHANICS . . .
. . . . . . . . . . . . . . . . . . 103 5.6.2 THE HEISENBERG
REPRESENTATION. . . . . . . . . . . . . . . . . . . . . 104 5.6.3 THE
INTERACTION REPRESENTATION . . . . . . . . . . . . . . . . . . . . 105
5.7 STATISTICAL PHYSICS . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 106 5.7.1 MACROSCOPIC AND MICROSCOPIC
VARIABLES . . . . . . . . . . . . . . 108 5.8 THEORY OF ELECTROLYTES . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110
5.8.1 THE DEBYE{H¨ UCKEL EQUATION . . . . . . . . . . . . . . . . . . .
. . . . 112 5.9 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . 113 6. QUANTIZED FIELD
THEORIES ::::::::::::::::::::::::::::::::: 115 6.1 FREE FIELD THEORIES .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
119 6.1.1 SPIN 1 2 . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 122 6.1.2 SPIN 0 . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124 6.1.3 SPIN
1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 127 6.2 INTERACTING FIELDS . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . 129 6.2.1 THE S -MATRIX .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
132 6.2.2 ORDERING IN TIME. . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 134 6.3 QUANTUM ELECTRODYNAMICS . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . 136 6.4 GAUGE GROUPS AND
STRING THEORIES . . . . . . . . . . . . . . . . . . . . . . . 142 6.4.1
STRING THEORIES . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . 143 7. GRAVITATION
::::::::::::::::::::::::::::::::::::::::::::::: 145 7.1 GEOMETRY IN
TERMS OF QUANTAL INFORMATION . . . . . . . . . . . . . . . . 148 7.1.1
THE RELATIVISTIC DENSITY MATRIX . . . . . . . . . . . . . . . . . . .
150 7.1.2 REPRESENTATIONS FOR ARBITRARY SPIN . . . . . . . . . . . . . .
. . . 151 7.2 QUANTUM GEOMETRY . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 153 CONTENTS IX 7.2.1 THE CURVATURE OF
SPACE-TIME . . . . . . . . . . . . . . . . . . . . . . 155 7.3
EINSTEIN*S GRAVITATIONAL FIELD EQUATIONS . . . . . . . . . . . . . . . .
. . . 158 7.3.1 CLASSICAL EMBEDDING OF SCHWARZSCHILD*S SOLUTION. . . . .
. 158 7.3.2 MORE GENERAL SOLUTIONS OF EINSTEIN*S EQUATIONS . . . . . .
161 7.3.3 LAGRANGIAN DENSITIES. . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . 162 7.4 QUANTAL EMBEDDING . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . 163 7.5 GAUGE THEORIES WITH
GRAVITATION . . . . . . . . . . . . . . . . . . . . . . . . . 167 7.6
SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 169 8. MEASUREMENT AND THE OBSERVER
::::::::::::::::::::::::::: 171 8.1 DETECTORS AND MEASURING DEVICES . .
. . . . . . . . . . . . . . . . . . . . . . . 173 8.1.1 THEORY OF
MEASUREMENT . . . . . . . . . . . . . . . . . . . . . . . . . . . 177
8.2 QUBITS OF FLUCTUATING ELECTROLYTIC POTENTIALS . . . . . . . . . . .
. . . . 181 8.2.1 THE CORTEX AS A QUANTAL TURING MACHINE . . . . . . . .
. . . 182 8.2.2 THE QUBITS OF POTENTIAL FLUCTUATIONS IN AN ELECTROLYTE
183 8.2.3 TRANSMISSION OF INFORMATION ACROSS THE CELLULAR MEMBRANE . . .
. . . . . . . . . . . . . . . . . . 186 8.3 CELLS AND MEMBRANES . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193 8.3.1
GRADED AND ACTION POTENTIALS . . . . . . . . . . . . . . . . . . . . . .
196 8.4 THE ANIMAL CORTEX . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 199 8.4.1 ORGANIZATION OF CELLS IN COLUMNS
AND ZONES . . . . . . . . . 199 8.4.2 THE SUBDIVISIONS AND FUNCTIONS OF
THE CORTEX . . . . . . . 199 8.5 THEORY OF CONSCIOUSNESS. . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 202 8.6 CONSCIOUSNESS
IN NATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 206 A. APPENDIX: MATRICES :::::::::::::::::::::::::::::::::::::::
211 A.1 DE*NITIONS AND ELEMENTARY PROPERTIES . . . . . . . . . . . . . .
. . . . . . 211 A.1.1 DIRECT PRODUCTS AND VECTOR SUBSCRIPTS . . . . . .
. . . . . . . . 213 A.1.2 THE IMAGINARY UNIT AS A MATRIX . . . . . . . .
. . . . . . . . . . . 214 A.2 DETERMINANTS . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . 215 A.3
EIGENVALUES OF MATRICES . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . 217 A.3.1 REDUCTION OF A FINITE MATRIX TO SPECTRAL
FORM . . . . . . . 219 A.3.2 REPRESENTATION OF OBSERVABLES BY MATRICES .
. . . . . . . . . 220 A.4 THE FACTORIZATION METHOD . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 221 A.5 CONTINUOUS EIGENVALUES .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 223 A.6
PARAFERMION REPRESENTATIONS OF LIE ALGEBRAS . . . . . . . . . . . . . .
. 225 A.6.1 INVARIANTS AND REPRESENTATIONS OF SO (2 N + 1) . . . . . . .
. 228 BIBLIOGRAPHY ::::::::::::::::::::::::::::::::::::::::::::::::::
231
|
| any_adam_object | 1 |
| author | Green, Herbert S. 1920-1999 |
| author_GND | (DE-588)107400766 |
| author_facet | Green, Herbert S. 1920-1999 |
| author_role | aut |
| author_sort | Green, Herbert S. 1920-1999 |
| author_variant | h s g hs hsg |
| building | Verbundindex |
| bvnumber | BV013031741 |
| classification_rvk | UG 3000 UK 1000 UK 1200 UK 8000 |
| classification_tum | PHY 020f DAT 570f DAT 503f |
| ctrlnum | (OCoLC)845333122 (DE-599)BVBBV013031741 |
| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik Informatik |
| format | Book |
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| id | DE-604.BV013031741 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:37:58Z |
| institution | BVB |
| isbn | 354066517X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008878252 |
| oclc_num | 845333122 |
| open_access_boolean | |
| owner | DE-703 DE-20 DE-355 DE-BY-UBR DE-706 DE-1051 DE-634 DE-83 DE-11 DE-188 DE-91G DE-BY-TUM |
| owner_facet | DE-703 DE-20 DE-355 DE-BY-UBR DE-706 DE-1051 DE-634 DE-83 DE-11 DE-188 DE-91G DE-BY-TUM |
| physical | IX, 244 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series2 | Texts and monographs in physics |
| spelling | Green, Herbert S. 1920-1999 Verfasser (DE-588)107400766 aut Information theory and quantum physics physical foundations for understanding the conscious process Herbert S. Green Berlin [u.a.] Springer 2000 IX, 244 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts and monographs in physics Literaturverz. S. 231 - 244 Quantenphysik (DE-588)4266670-3 gnd rswk-swf Informationstheorie (DE-588)4026927-9 gnd rswk-swf Informationstheorie (DE-588)4026927-9 s Quantenphysik (DE-588)4266670-3 s DE-604 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008878252&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Green, Herbert S. 1920-1999 Information theory and quantum physics physical foundations for understanding the conscious process Quantenphysik (DE-588)4266670-3 gnd Informationstheorie (DE-588)4026927-9 gnd |
| subject_GND | (DE-588)4266670-3 (DE-588)4026927-9 |
| title | Information theory and quantum physics physical foundations for understanding the conscious process |
| title_auth | Information theory and quantum physics physical foundations for understanding the conscious process |
| title_exact_search | Information theory and quantum physics physical foundations for understanding the conscious process |
| title_full | Information theory and quantum physics physical foundations for understanding the conscious process Herbert S. Green |
| title_fullStr | Information theory and quantum physics physical foundations for understanding the conscious process Herbert S. Green |
| title_full_unstemmed | Information theory and quantum physics physical foundations for understanding the conscious process Herbert S. Green |
| title_short | Information theory and quantum physics |
| title_sort | information theory and quantum physics physical foundations for understanding the conscious process |
| title_sub | physical foundations for understanding the conscious process |
| topic | Quantenphysik (DE-588)4266670-3 gnd Informationstheorie (DE-588)4026927-9 gnd |
| topic_facet | Quantenphysik Informationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008878252&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT greenherberts informationtheoryandquantumphysicsphysicalfoundationsforunderstandingtheconsciousprocess |