Mathematical theory of Feynman path integrals: an introduction
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2008
|
| Edition: | 2. corr. and enl. ed. |
| Series: | Lecture notes in mathematics
523 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 175 S. |
| ISBN: | 9783540769545 9783540769569 |
Staff View
MARC
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| 245 | 1 | 0 | |a Mathematical theory of Feynman path integrals |b an introduction |c Sergio A. Albeverio ; Raphael J. Høegh-Krohn ; Sonia Mazzucchi |
| 250 | |a 2. corr. and enl. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2008 | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
to the Second Edition
.................................
V
Preface to the First Edition
...................................
VII
1
Introduction
............................................... 1
2
The Fresnel Integral of Functions on a Separable Real
Hubert Space
.............................................. 9
3
The Feynman Path Integral in Potential Scattering
........ 19
4
The Fresnel Integral Relative to a Non-singular Quadratic
Form
...................................................... 37
5
Feynman Path Integrals for the Anharmonic Oscillator
.... 51
6
Expectations with Respect to the Ground State
of the Harmonic Oscillator
................................. 63
7
Expectations with Respect to the Gibbs State
of the Harmonic Oscillator
................................. 09
8
The Invariant Quasi-free States
............................ 73
9
The Feynman History Integral
for the Relativistic Quantum Boson Field
.................. 85
10
Some Recent Developments
................................ 93
10.1
The Infinite Dimensional Oscillatory Integral
................ 93
10.2
Feynman Path Integrals for Polynomially
Growing Potentials
......................................101
10.3
The Stationary Phase Method and the Sranic lassfral
Expansion
..............................................108
X
Contents
10.4 Alternative
Approaches to Rigorous Feynman
Path Integrals
...........................................115
10.4.1
Analytic Continuation
.............................115
10.4.2
White Noise Calculus Approach
.....................116
10.4.3
The Sequential Approach
...........................120
10.4.4
The Approach via
Poisson
Processes
.................123
10.5
Recent Applications
.....................................124
10.5.1
The
Schrödinger
Equation with Magnetic Fields
.......124
10.5.2
The
Schrödinger
Equation with Time Dependent
Potentials
........................................125
10.5.3
Phase Space Feynman Path Integrals
................130
10.5.4
The Stochastic
Schrödinger
Equation
................133
10.5.5
The Chern-Simons Functional Integral
...............136
References of the First Edition
................................141
References Added for the Second Edition
......................149
Analytic Index
................................................173
List of Notations
..............................................177
|
| adam_txt |
Contents
Preface
to the Second Edition
.
V
Preface to the First Edition
.
VII
1
Introduction
. 1
2
The Fresnel Integral of Functions on a Separable Real
Hubert Space
. 9
3
The Feynman Path Integral in Potential Scattering
. 19
4
The Fresnel Integral Relative to a Non-singular Quadratic
Form
. 37
5
Feynman Path Integrals for the Anharmonic Oscillator
. 51
6
Expectations with Respect to the Ground State
of the Harmonic Oscillator
. 63
7
Expectations with Respect to the Gibbs State
of the Harmonic Oscillator
. 09
8
The Invariant Quasi-free States
. 73
9
The Feynman History Integral
for the Relativistic Quantum Boson Field
. 85
10
Some Recent Developments
. 93
10.1
The Infinite Dimensional Oscillatory Integral
. 93
10.2
Feynman Path Integrals for Polynomially
Growing Potentials
.101
10.3
The Stationary Phase Method and the Sranic'lassfral
Expansion
.108
X
Contents
10.4 Alternative
Approaches to Rigorous Feynman
Path Integrals
.115
10.4.1
Analytic Continuation
.115
10.4.2
White Noise Calculus Approach
.116
10.4.3
The Sequential Approach
.120
10.4.4
The Approach via
Poisson
Processes
.123
10.5
Recent Applications
.124
10.5.1
The
Schrödinger
Equation with Magnetic Fields
.124
10.5.2
The
Schrödinger
Equation with Time Dependent
Potentials
.125
10.5.3
Phase Space Feynman Path Integrals
.130
10.5.4
The Stochastic
Schrödinger
Equation
.133
10.5.5
The Chern-Simons Functional Integral
.136
References of the First Edition
.141
References Added for the Second Edition
.149
Analytic Index
.173
List of Notations
.177 |
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| any_adam_object_boolean | 1 |
| author | Albeverio, Sergio 1939- Høegh-Krohn, Raphael 1938-1988 Mazzucchi, Sonia |
| author_GND | (DE-588)121093999 (DE-588)119094886 |
| author_facet | Albeverio, Sergio 1939- Høegh-Krohn, Raphael 1938-1988 Mazzucchi, Sonia |
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| author_sort | Albeverio, Sergio 1939- |
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| classification_rvk | SI 850 UK 1200 |
| classification_tum | PHY 013f |
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| dewey-full | 515.43 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| discipline_str_mv | Physik Mathematik |
| edition | 2. corr. and enl. ed. |
| format | Book |
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| id | DE-604.BV023351360 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T21:05:15Z |
| indexdate | 2024-07-09T21:16:36Z |
| institution | BVB |
| isbn | 9783540769545 9783540769569 |
| language | English |
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| physical | X, 175 S. |
| publishDate | 2008 |
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| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Albeverio, Sergio 1939- Verfasser (DE-588)121093999 aut Mathematical theory of Feynman path integrals an introduction Sergio A. Albeverio ; Raphael J. Høegh-Krohn ; Sonia Mazzucchi 2. corr. and enl. ed. Berlin [u.a.] Springer 2008 X, 175 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 523 Intégrales de Feynman Feynman integrals Mathematik (DE-588)4037944-9 gnd rswk-swf Pfadintegral (DE-588)4173973-5 gnd rswk-swf Theorie (DE-588)4059787-8 gnd rswk-swf Pfadintegral (DE-588)4173973-5 s Mathematik (DE-588)4037944-9 s Theorie (DE-588)4059787-8 s 1\p DE-604 Høegh-Krohn, Raphael 1938-1988 Verfasser (DE-588)119094886 aut Mazzucchi, Sonia Verfasser aut Lecture notes in mathematics 523 (DE-604)BV000676446 523 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016534969&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Albeverio, Sergio 1939- Høegh-Krohn, Raphael 1938-1988 Mazzucchi, Sonia Mathematical theory of Feynman path integrals an introduction Lecture notes in mathematics Intégrales de Feynman Feynman integrals Mathematik (DE-588)4037944-9 gnd Pfadintegral (DE-588)4173973-5 gnd Theorie (DE-588)4059787-8 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4173973-5 (DE-588)4059787-8 |
| title | Mathematical theory of Feynman path integrals an introduction |
| title_auth | Mathematical theory of Feynman path integrals an introduction |
| title_exact_search | Mathematical theory of Feynman path integrals an introduction |
| title_exact_search_txtP | Mathematical theory of Feynman path integrals an introduction |
| title_full | Mathematical theory of Feynman path integrals an introduction Sergio A. Albeverio ; Raphael J. Høegh-Krohn ; Sonia Mazzucchi |
| title_fullStr | Mathematical theory of Feynman path integrals an introduction Sergio A. Albeverio ; Raphael J. Høegh-Krohn ; Sonia Mazzucchi |
| title_full_unstemmed | Mathematical theory of Feynman path integrals an introduction Sergio A. Albeverio ; Raphael J. Høegh-Krohn ; Sonia Mazzucchi |
| title_short | Mathematical theory of Feynman path integrals |
| title_sort | mathematical theory of feynman path integrals an introduction |
| title_sub | an introduction |
| topic | Intégrales de Feynman Feynman integrals Mathematik (DE-588)4037944-9 gnd Pfadintegral (DE-588)4173973-5 gnd Theorie (DE-588)4059787-8 gnd |
| topic_facet | Intégrales de Feynman Feynman integrals Mathematik Pfadintegral Theorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016534969&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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