Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bonn
SFB 611
2003
|
| Ausgabe: | Als Ms. vervielfältigt |
| Schriftenreihe: | Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen
58 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 56 - 70 |
| Beschreibung: | 70 S. 30 cm |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV017093259 | ||
| 003 | DE-604 | ||
| 005 | 20030519 | ||
| 007 | t | ||
| 008 | 030422s2003 gw |||| |||| 00||| eng d | ||
| 016 | 7 | |a 967258243 |2 DE-101 | |
| 035 | |a (OCoLC)634477599 | ||
| 035 | |a (DE-599)BVBBV017093259 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-355 | ||
| 084 | |a SI 990 |0 (DE-625)143213: |2 rvk | ||
| 100 | 1 | |a Albeverio, Sergio |d 1939- |e Verfasser |0 (DE-588)121093999 |4 aut | |
| 245 | 1 | 0 | |a Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants |c S. Albeverio ; A. Hahn ; A. N. Sengupta. [Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen] |
| 250 | |a Als Ms. vervielfältigt | ||
| 264 | 1 | |a Bonn |b SFB 611 |c 2003 | |
| 300 | |a 70 S. |b 30 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen |v 58 | |
| 500 | |a Literaturverz. S. 56 - 70 | ||
| 700 | 1 | |a Hahn, Atle |e Verfasser |4 aut | |
| 700 | 1 | |a Sengupta, Ambar |d 1963- |e Verfasser |0 (DE-588)120724952 |4 aut | |
| 830 | 0 | |a Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen |v 58 |w (DE-604)BV014653850 |9 58 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010308682&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010308682 | |
Datensatz im Suchindex
| _version_ | 1811034385803116544 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
3
2
RIGOROUS
FEYNMAN
PATH
INTEGRALS
AND
PROBABILISTIC
FUNCTIONAL
INTEGRALS.
SOME
APPLICATIONS
TO
QUANTUM
THEORY
4
2.1
A
SHORT
REMINDER
OF
WIENER
INTEGRALS
AND
SOME
OF
THEIR
APPLI
CATIONS
TO
QUANTUM
THEORY
.
4
2.2
RIGOROUS
FEYNMAN
PATH
INTEGRALS
.
8
2.2.1
DEFINITION
AND
PROPERTIES
OF
MATHEMATICAL
FEYNMAN
PATH
INTEGRALS
.
8
2.2.2
AN
INFINITE
DIMENSIONAL
VERSION
OF
THE
STATIONARY
PHASE
METHOD
APPLIED
TO
A
MATHEMATICAL
REALIZATION
OF
FEYN
MAN
'
S
PATH
INTEGRALS
.
14
2.2.3
APPLICATIONS
TO
THE
SCHRODINGER
EQUATION
.
15
2.3
THE
WHITE
NOISE
ANALYSIS
FRAMEWORK
.
19
3
THE
PROBLEM
OF
GAUGE
FIELDS.
YANG-MILLS
THEORY
AND
CHERN-
SIMONS
THEORY
22
3.1
PRINCIPAL
BUNDLES
.
23
3.2
CONNECTION
.
24
3.3
PARALLEL
TRANSPORT
.
25
3.4
HOLONOMY
.
25
3.5
THE
SPACES
A
(P;
V)
.
26
3.6
CURVATURE
AND
COVARIANT
DERIVATIVES
.
26
3.7
GAUGE
TRANSFORMATIONS
.
27
3.8
THE
ACTION
OF
Q
ON
A
.
28
3.9
THE
YANG-MILLS
ACTION
.
28
3.10
YANG-MILLS
AS
A
DYNAMICAL
SYSTEM
.
29
3.11
LAGRANGIAN
TO
HAMILTONIAN
.
30
3.12
COMPARISON
WITH
YANG-MILLS
EQUATIONS
.
35
3.13
MOMENT
MAP
FOR
THE
GAUGE
GROUP
ACTION
.
35
3.14
THE
CHERN-SIMONS
ACTION
.
37
4
QUANTIZATION
OF
YANG-MILLS
AND
CHERN-SIMONS
MODELS
42
4.1
QUANTIZATION
OF
YANG-MILLS
MODELS
.
42
4.2
QUANTIZATION
OF
CHERN-SIMONS
MODELS
.
43
4.2.1
AXIAL
GAUGE
FIXING
FOR
CHERN-SIMONS
MODELS
ON
R
3
.
.
44
4.2.2
THE
CHERN-SIMONS
PATH
INTEGRAL
ON
R
3
IN
AXIAL
GAUGE
AS
A
GENERALIZED
DISTRIBUTION
.
45
4.2.3
LOOP-SMEARING
.
47
4.2.4
FRAMING
.
48
4.2.5
ADMISSIBLE
LINKS
AND
ADMISSIBLE
FRAMINGS
.
49
4.2.6
COMPUTATION
OF
THE
WLOS
.
51
4.2.7
EXAMPLES
.
54 |
| any_adam_object | 1 |
| author | Albeverio, Sergio 1939- Hahn, Atle Sengupta, Ambar 1963- |
| author_GND | (DE-588)121093999 (DE-588)120724952 |
| author_facet | Albeverio, Sergio 1939- Hahn, Atle Sengupta, Ambar 1963- |
| author_role | aut aut aut |
| author_sort | Albeverio, Sergio 1939- |
| author_variant | s a sa a h ah a s as |
| building | Verbundindex |
| bvnumber | BV017093259 |
| classification_rvk | SI 990 |
| ctrlnum | (OCoLC)634477599 (DE-599)BVBBV017093259 |
| discipline | Mathematik |
| edition | Als Ms. vervielfältigt |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV017093259</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20030519</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">030422s2003 gw |||| |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">967258243</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)634477599</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV017093259</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="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 990</subfield><subfield code="0">(DE-625)143213:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Albeverio, Sergio</subfield><subfield code="d">1939-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)121093999</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants</subfield><subfield code="c">S. Albeverio ; A. Hahn ; A. N. Sengupta. [Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen]</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Als Ms. vervielfältigt</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Bonn</subfield><subfield code="b">SFB 611</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">70 S.</subfield><subfield code="b">30 cm</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">Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen</subfield><subfield code="v">58</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 56 - 70</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hahn, Atle</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Sengupta, Ambar</subfield><subfield code="d">1963-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)120724952</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen</subfield><subfield code="v">58</subfield><subfield code="w">(DE-604)BV014653850</subfield><subfield code="9">58</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB 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=010308682&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-010308682</subfield></datafield></record></collection> |
| id | DE-604.BV017093259 |
| illustrated | Not Illustrated |
| indexdate | 2024-09-24T00:16:19Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010308682 |
| oclc_num | 634477599 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR |
| owner_facet | DE-355 DE-BY-UBR |
| physical | 70 S. 30 cm |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | SFB 611 |
| record_format | marc |
| series | Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen |
| series2 | Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen |
| spelling | Albeverio, Sergio 1939- Verfasser (DE-588)121093999 aut Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants S. Albeverio ; A. Hahn ; A. N. Sengupta. [Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen] Als Ms. vervielfältigt Bonn SFB 611 2003 70 S. 30 cm txt rdacontent n rdamedia nc rdacarrier Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen 58 Literaturverz. S. 56 - 70 Hahn, Atle Verfasser aut Sengupta, Ambar 1963- Verfasser (DE-588)120724952 aut Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen 58 (DE-604)BV014653850 58 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010308682&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Albeverio, Sergio 1939- Hahn, Atle Sengupta, Ambar 1963- Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen |
| title | Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants |
| title_auth | Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants |
| title_exact_search | Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants |
| title_full | Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants S. Albeverio ; A. Hahn ; A. N. Sengupta. [Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen] |
| title_fullStr | Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants S. Albeverio ; A. Hahn ; A. N. Sengupta. [Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen] |
| title_full_unstemmed | Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants S. Albeverio ; A. Hahn ; A. N. Sengupta. [Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 611, Singuläre Phänomene und Skalierung in Mathematischen Modellen] |
| title_short | Rigorous Feynman path, integrals with applications to quantum theory, gauge fields, and topological invariants |
| title_sort | rigorous feynman path integrals with applications to quantum theory gauge fields and topological invariants |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010308682&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014653850 |
| work_keys_str_mv | AT albeveriosergio rigorousfeynmanpathintegralswithapplicationstoquantumtheorygaugefieldsandtopologicalinvariants AT hahnatle rigorousfeynmanpathintegralswithapplicationstoquantumtheorygaugefieldsandtopologicalinvariants AT senguptaambar rigorousfeynmanpathintegralswithapplicationstoquantumtheorygaugefieldsandtopologicalinvariants |