Variations on a theme by Kepler:
Gespeichert in:
Beteiligte Personen: | , |
---|---|
Format: | Buch |
Sprache: | Englisch |
Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
1990
|
Schriftenreihe: | American Mathematical Society Colloquium Publications
volume 42 |
Schlagwörter: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004215700&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | VII, 88 Seiten Illustrationen, Diagramme |
ISBN: | 0821810421 082184184X |
Internformat
MARC
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100 | 1 | |a Guillemin, Victor |d 1937- |e Verfasser |0 (DE-588)12110172X |4 aut | |
245 | 1 | 0 | |a Variations on a theme by Kepler |c Victor Guillemin and Shlomo Sternberg |
264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c 1990 | |
264 | 4 | |c © 1990 | |
300 | |a VII, 88 Seiten |b Illustrationen, Diagramme | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a American Mathematical Society Colloquium Publications |v volume 42 | |
600 | 1 | 4 | |a Kepler, Johann <1571-1630> |
600 | 1 | 4 | |a Kepler, Johannes <1571-1630> |
650 | 4 | |a Géométrie conforme | |
650 | 7 | |a Géométrie conforme |2 ram | |
650 | 4 | |a Lie, Groupes de | |
650 | 7 | |a Lie, groupes de |2 ram | |
650 | 4 | |a Planètes, Théorie des | |
650 | 7 | |a Planètes, théorie des |2 ram | |
650 | 4 | |a Symétrie (Physique) | |
650 | 7 | |a Symétrie (Physique) |2 ram | |
650 | 7 | |a cosmologie |2 inriac | |
650 | 7 | |a groupe Lie |2 inriac | |
650 | 7 | |a symétrie |2 inriac | |
650 | 4 | |a Conformal geometry | |
650 | 4 | |a Lie groups | |
650 | 4 | |a Planetary theory | |
650 | 4 | |a Symmetry (Physics) | |
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Datensatz im Suchindex
DE-BY-TUM_call_number | 0701 0013 B 295 |
---|---|
DE-BY-TUM_katkey | 1129076 |
DE-BY-TUM_location | Mag |
DE-BY-TUM_media_number | 040020602019 |
_version_ | 1821931689563127808 |
adam_text | Contents
Introduction vii
Chapter 1. Classical brackets and configurational symmetries 1
1. Lie Groups and Lie brackets 1
2. Poisson brackets 6
3. Lenz and Riinge 11
4. The inverse square law 13
5. Kepler s laws 15
Chapter 2. Quantum mechanics and dynamical symmetries 17
6. Pauli 17
7. Collisions 21
Chapter 3. The conformal group and hidden symmetries 29
8. Orbits and reductions 29
9. SO(2,4) and SU(2,2) 35
10. Reduction, enlargement, and quantizations 39
11. The Kepler problem as reduction of geodesic flow 41
12. Homological quantization of constraints 46
Chapter 4. The conformal completion of Minkowski space 53
13. Grassmannians 53
14. Isotropic Grassmannians 55
15. The conformal geometry of projective quadrics 58
16. Null geodesies 62
Chapter 5. Homogeneous models in general relativity 65
17. Horizons and the de Sitter space 65
18. The Bondi Gold Hoyle universe 68
19. The Einstein universe 69
20. The anti Einstein universe 70
21. The Friedman Robertson Walker universes 71
22. The Kostant universe 72
iii
iv CONTENTS
Appendices 75
A1. The Grunwald van Hove theorem 75
A2. Classical and quantum logic 77
References 83
Index 87
|
any_adam_object | 1 |
author | Guillemin, Victor 1937- Sternberg, Shlomo 1936- |
author_GND | (DE-588)12110172X (DE-588)121101762 |
author_facet | Guillemin, Victor 1937- Sternberg, Shlomo 1936- |
author_role | aut aut |
author_sort | Guillemin, Victor 1937- |
author_variant | v g vg s s ss |
building | Verbundindex |
bvnumber | BV006600871 |
callnumber-first | Q - Science |
callnumber-label | QB361 |
callnumber-raw | QB361 |
callnumber-search | QB361 |
callnumber-sort | QB 3361 |
callnumber-subject | QB - Astronomy |
classification_rvk | SK 950 US 1200 SK 350 |
classification_tum | PHY 012f |
ctrlnum | (OCoLC)22544160 (DE-599)BVBBV006600871 |
dewey-full | 523.4 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 523 - Specific celestial bodies and phenomena |
dewey-raw | 523.4 |
dewey-search | 523.4 |
dewey-sort | 3523.4 |
dewey-tens | 520 - Astronomy and allied sciences |
discipline | Physik Mathematik |
format | Book |
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id | DE-604.BV006600871 |
illustrated | Illustrated |
indexdate | 2024-12-20T08:51:30Z |
institution | BVB |
isbn | 0821810421 082184184X |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004215700 |
oclc_num | 22544160 |
open_access_boolean | |
owner | DE-739 DE-355 DE-BY-UBR DE-703 DE-12 DE-29T DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-83 DE-11 DE-188 |
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physical | VII, 88 Seiten Illustrationen, Diagramme |
publishDate | 1990 |
publishDateSearch | 1990 |
publishDateSort | 1990 |
publisher | American Mathematical Society |
record_format | marc |
series | American Mathematical Society Colloquium Publications |
series2 | American Mathematical Society Colloquium Publications |
spellingShingle | Guillemin, Victor 1937- Sternberg, Shlomo 1936- Variations on a theme by Kepler American Mathematical Society Colloquium Publications Kepler, Johann <1571-1630> Kepler, Johannes <1571-1630> Géométrie conforme Géométrie conforme ram Lie, Groupes de Lie, groupes de ram Planètes, Théorie des Planètes, théorie des ram Symétrie (Physique) Symétrie (Physique) ram cosmologie inriac groupe Lie inriac symétrie inriac Conformal geometry Lie groups Planetary theory Symmetry (Physics) Kepler-Bewegung (DE-588)4163577-2 gnd Symmetriegruppe (DE-588)4184201-7 gnd Planetenbahn (DE-588)4200379-9 gnd Symmetrie (DE-588)4058724-1 gnd Lie-Gruppe (DE-588)4035695-4 gnd Mathematische Physik (DE-588)4037952-8 gnd |
subject_GND | (DE-588)4163577-2 (DE-588)4184201-7 (DE-588)4200379-9 (DE-588)4058724-1 (DE-588)4035695-4 (DE-588)4037952-8 |
title | Variations on a theme by Kepler |
title_auth | Variations on a theme by Kepler |
title_exact_search | Variations on a theme by Kepler |
title_full | Variations on a theme by Kepler Victor Guillemin and Shlomo Sternberg |
title_fullStr | Variations on a theme by Kepler Victor Guillemin and Shlomo Sternberg |
title_full_unstemmed | Variations on a theme by Kepler Victor Guillemin and Shlomo Sternberg |
title_short | Variations on a theme by Kepler |
title_sort | variations on a theme by kepler |
topic | Kepler, Johann <1571-1630> Kepler, Johannes <1571-1630> Géométrie conforme Géométrie conforme ram Lie, Groupes de Lie, groupes de ram Planètes, Théorie des Planètes, théorie des ram Symétrie (Physique) Symétrie (Physique) ram cosmologie inriac groupe Lie inriac symétrie inriac Conformal geometry Lie groups Planetary theory Symmetry (Physics) Kepler-Bewegung (DE-588)4163577-2 gnd Symmetriegruppe (DE-588)4184201-7 gnd Planetenbahn (DE-588)4200379-9 gnd Symmetrie (DE-588)4058724-1 gnd Lie-Gruppe (DE-588)4035695-4 gnd Mathematische Physik (DE-588)4037952-8 gnd |
topic_facet | Kepler, Johann <1571-1630> Kepler, Johannes <1571-1630> Géométrie conforme Lie, Groupes de Lie, groupes de Planètes, Théorie des Planètes, théorie des Symétrie (Physique) cosmologie groupe Lie symétrie Conformal geometry Lie groups Planetary theory Symmetry (Physics) Kepler-Bewegung Symmetriegruppe Planetenbahn Symmetrie Lie-Gruppe Mathematische Physik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004215700&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV035417609 |
work_keys_str_mv | AT guilleminvictor variationsonathemebykepler AT sternbergshlomo variationsonathemebykepler |
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