Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1986
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
351 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 62, Number 351 (fifth of 6 numbers) |
| Beschreibung: | VI, 78 S. |
| ISBN: | 0821824139 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV000571872 | ||
| 003 | DE-604 | ||
| 005 | 20151001 | ||
| 007 | t | ||
| 008 | 870612s1986 |||| 00||| eng d | ||
| 020 | |a 0821824139 |9 0-8218-2413-9 | ||
| 035 | |a (OCoLC)13793816 | ||
| 035 | |a (DE-599)BVBBV000571872 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-384 |a DE-739 |a DE-355 |a DE-824 |a DE-29T |a DE-91G |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 050 | 0 | |a QC174.12 | |
| 082 | 0 | |a 510 |2 19 | |
| 082 | 0 | |a 530.1/2 |2 19 | |
| 100 | 1 | |a Johnson, Gerald W. |d 1939- |e Verfasser |0 (DE-588)17410376X |4 aut | |
| 245 | 1 | 0 | |a Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus |c Gerald W. Johnson and Michel L. Lapidus |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1986 | |
| 300 | |a VI, 78 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 351 | |
| 500 | |a Volume 62, Number 351 (fifth of 6 numbers) | ||
| 650 | 7 | |a Algebra Comutativa |2 larpcal | |
| 650 | 4 | |a Commutative algebra | |
| 650 | 4 | |a Feynman diagrams | |
| 650 | 4 | |a Integrals, Generalized | |
| 650 | 4 | |a Operator theory | |
| 650 | 4 | |a Perturbation (Quantum dynamics) | |
| 650 | 0 | 7 | |a Wiener-Integral |0 (DE-588)4189867-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wiener-Maß |0 (DE-588)4591844-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Feynman-Graph |0 (DE-588)4154291-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Pfadintegral |0 (DE-588)4173973-5 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Verallgemeinertes Integral |2 gnd |9 rswk-swf | |
| 655 | 7 | |a Wiene- Funktional |2 gnd |9 rswk-swf | |
| 655 | 7 | |a Dyson-Reihe |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Pfadintegral |0 (DE-588)4173973-5 |D s |
| 689 | 0 | 1 | |a Dyson-Reihe |A f |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Pfadintegral |0 (DE-588)4173973-5 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Feynman-Graph |0 (DE-588)4154291-5 |D s |
| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Wiener-Integral |0 (DE-588)4189867-9 |D s |
| 689 | 3 | |5 DE-604 | |
| 689 | 4 | 0 | |a Verallgemeinertes Integral |A f |
| 689 | 4 | |5 DE-604 | |
| 689 | 5 | 0 | |a Wiene- Funktional |A f |
| 689 | 5 | |5 DE-604 | |
| 689 | 6 | 0 | |a Wiener-Maß |0 (DE-588)4591844-2 |D s |
| 689 | 6 | |5 DE-604 | |
| 700 | 1 | |a Lapidus, Michel L. |d 1956- |e Verfasser |0 (DE-588)12181629X |4 aut | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 351 |w (DE-604)BV008000141 |9 351 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000352693&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-000352693 | ||
Datensatz im Suchindex
| _version_ | 1804115014234144768 |
|---|---|
| adam_text | CONTENTS
0. Introduction and Preliminaries 1
0.1. Introduction 1
0.2. Notation and Preliminaries 6
1. A Simple Generalized Dyson Series (n ¦ u + «i{ ) 15
2. The Generalized Dyson Series 26
3. Examples of Perturbation Expansions 35
3.1. A Single Measure and Potential 35
3.2. Several Measures and Potentials 41
4. Stability Results 47
4.1. Stability in the Potentials 47
4.2. Stability in the Measures 49
5. Generalized Feynman Diagrams 62
6. The Banach Algebra of Functionals.
Connections with Feynman s Operational Calculus 69
Acknowledgments 75
References 76
LIST OF FIGURES
Figure 1.1. The regions A, , , k = 2 16
Figure 5.1. n V 62
Figure 5.2. n = y + cofi 64
Figure 5.3. n = u + w5,n=3 65
Figure 5.4. x in Figure 5.2 under an infinitesimal microscope . 66
h
Figure 5.5. n = V + 2 a 67
P l P P
Figure 5.6. An example with multiple e s 68
|
| any_adam_object | 1 |
| author | Johnson, Gerald W. 1939- Lapidus, Michel L. 1956- |
| author_GND | (DE-588)17410376X (DE-588)12181629X |
| author_facet | Johnson, Gerald W. 1939- Lapidus, Michel L. 1956- |
| author_role | aut aut |
| author_sort | Johnson, Gerald W. 1939- |
| author_variant | g w j gw gwj m l l ml mll |
| building | Verbundindex |
| bvnumber | BV000571872 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 QC174.12 |
| callnumber-search | QA3 QC174.12 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)13793816 (DE-599)BVBBV000571872 |
| dewey-full | 510 530.1/2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 530 - Physics |
| dewey-raw | 510 530.1/2 |
| dewey-search | 510 530.1/2 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02761nam a2200697 cb4500</leader><controlfield tag="001">BV000571872</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20151001 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">870612s1986 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821824139</subfield><subfield code="9">0-8218-2413-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)13793816</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV000571872</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC174.12</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.1/2</subfield><subfield code="2">19</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Johnson, Gerald W.</subfield><subfield code="d">1939-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)17410376X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus</subfield><subfield code="c">Gerald W. Johnson and Michel L. Lapidus</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">1986</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 78 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">351</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Volume 62, Number 351 (fifth of 6 numbers)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Algebra Comutativa</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Commutative algebra</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Feynman diagrams</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Integrals, Generalized</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Operator theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Perturbation (Quantum dynamics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wiener-Integral</subfield><subfield code="0">(DE-588)4189867-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wiener-Maß</subfield><subfield code="0">(DE-588)4591844-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Feynman-Graph</subfield><subfield code="0">(DE-588)4154291-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Pfadintegral</subfield><subfield code="0">(DE-588)4173973-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Verallgemeinertes Integral</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Wiene- Funktional</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Dyson-Reihe</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Pfadintegral</subfield><subfield code="0">(DE-588)4173973-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Dyson-Reihe</subfield><subfield code="A">f</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Pfadintegral</subfield><subfield code="0">(DE-588)4173973-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Feynman-Graph</subfield><subfield code="0">(DE-588)4154291-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Wiener-Integral</subfield><subfield code="0">(DE-588)4189867-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="4" ind2="0"><subfield code="a">Verallgemeinertes Integral</subfield><subfield code="A">f</subfield></datafield><datafield tag="689" ind1="4" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="5" ind2="0"><subfield code="a">Wiene- Funktional</subfield><subfield code="A">f</subfield></datafield><datafield tag="689" ind1="5" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="6" ind2="0"><subfield code="a">Wiener-Maß</subfield><subfield code="0">(DE-588)4591844-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="6" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lapidus, Michel L.</subfield><subfield code="d">1956-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)12181629X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">351</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">351</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000352693&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-000352693</subfield></datafield></record></collection> |
| genre | Verallgemeinertes Integral gnd Wiene- Funktional gnd Dyson-Reihe gnd |
| genre_facet | Verallgemeinertes Integral Wiene- Funktional Dyson-Reihe |
| id | DE-604.BV000571872 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:15:52Z |
| institution | BVB |
| isbn | 0821824139 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000352693 |
| oclc_num | 13793816 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-91G DE-BY-TUM DE-83 DE-188 |
| owner_facet | DE-12 DE-384 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | VI, 78 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Johnson, Gerald W. 1939- Verfasser (DE-588)17410376X aut Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus Gerald W. Johnson and Michel L. Lapidus Providence, RI American Math. Soc. 1986 VI, 78 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 351 Volume 62, Number 351 (fifth of 6 numbers) Algebra Comutativa larpcal Commutative algebra Feynman diagrams Integrals, Generalized Operator theory Perturbation (Quantum dynamics) Wiener-Integral (DE-588)4189867-9 gnd rswk-swf Wiener-Maß (DE-588)4591844-2 gnd rswk-swf Feynman-Graph (DE-588)4154291-5 gnd rswk-swf Pfadintegral (DE-588)4173973-5 gnd rswk-swf Verallgemeinertes Integral gnd rswk-swf Wiene- Funktional gnd rswk-swf Dyson-Reihe gnd rswk-swf Pfadintegral (DE-588)4173973-5 s Dyson-Reihe f DE-604 Feynman-Graph (DE-588)4154291-5 s Wiener-Integral (DE-588)4189867-9 s Verallgemeinertes Integral f Wiene- Funktional f Wiener-Maß (DE-588)4591844-2 s Lapidus, Michel L. 1956- Verfasser (DE-588)12181629X aut American Mathematical Society: Memoirs of the American Mathematical Society 351 (DE-604)BV008000141 351 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000352693&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Johnson, Gerald W. 1939- Lapidus, Michel L. 1956- Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus American Mathematical Society: Memoirs of the American Mathematical Society Algebra Comutativa larpcal Commutative algebra Feynman diagrams Integrals, Generalized Operator theory Perturbation (Quantum dynamics) Wiener-Integral (DE-588)4189867-9 gnd Wiener-Maß (DE-588)4591844-2 gnd Feynman-Graph (DE-588)4154291-5 gnd Pfadintegral (DE-588)4173973-5 gnd |
| subject_GND | (DE-588)4189867-9 (DE-588)4591844-2 (DE-588)4154291-5 (DE-588)4173973-5 |
| title | Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus |
| title_auth | Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus |
| title_exact_search | Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus |
| title_full | Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus Gerald W. Johnson and Michel L. Lapidus |
| title_fullStr | Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus Gerald W. Johnson and Michel L. Lapidus |
| title_full_unstemmed | Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus Gerald W. Johnson and Michel L. Lapidus |
| title_short | Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus |
| title_sort | generalized dyson series generalized feynman diagrams the feynman integral and feynman s operational calculus |
| topic | Algebra Comutativa larpcal Commutative algebra Feynman diagrams Integrals, Generalized Operator theory Perturbation (Quantum dynamics) Wiener-Integral (DE-588)4189867-9 gnd Wiener-Maß (DE-588)4591844-2 gnd Feynman-Graph (DE-588)4154291-5 gnd Pfadintegral (DE-588)4173973-5 gnd |
| topic_facet | Algebra Comutativa Commutative algebra Feynman diagrams Integrals, Generalized Operator theory Perturbation (Quantum dynamics) Wiener-Integral Wiener-Maß Feynman-Graph Pfadintegral Verallgemeinertes Integral Wiene- Funktional Dyson-Reihe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000352693&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT johnsongeraldw generalizeddysonseriesgeneralizedfeynmandiagramsthefeynmanintegralandfeynmansoperationalcalculus AT lapidusmichell generalizeddysonseriesgeneralizedfeynmandiagramsthefeynmanintegralandfeynmansoperationalcalculus |