Techniques and applications of path integration:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Mineola, N.Y.
Dover
2005
|
| Ausgabe: | Expanded republication of the 1996 printing |
| Schlagworte: | |
| Online-Zugang: | Verlagsmeldung Inhaltsverzeichnis |
| Beschreibung: | Orig. publ.: New York : Wiley, 1981. With new supplementary section |
| Beschreibung: | XIII, 416 S. |
| ISBN: | 0486445283 |
Internformat
MARC
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| 100 | 1 | |a Schulman, Lawrence S. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Techniques and applications of path integration |c L.S. Schulman |
| 250 | |a Expanded republication of the 1996 printing | ||
| 264 | 1 | |a Mineola, N.Y. |b Dover |c 2005 | |
| 300 | |a XIII, 416 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Orig. publ.: New York : Wiley, 1981. With new supplementary section | ||
| 650 | 4 | |a Path integrals | |
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Datensatz im Suchindex
| _version_ | 1804140641296318464 |
|---|---|
| adam_text | Contents
PART I INTRODUCTION
1
1
Introducing and Defining the Path Integral,
3
Appendix: The Trotter Product Formula,
9
2
Probabilities and Probability
Amplitudes
for Paths,
13
3
Correspondence Limit for the Path Integral (Heuristic),
16
Appendix: Useful Integrals,
20
4
Vector Potentials and Another Proof of the Path Integral
Formula,
22
5
The
Ito
Integral and Gauge Transformations,
27
6
Doing the Integral: Free Particle and Quadratic Lagrangians,
31
Appendix: Exactness of the Sum over Classical Paths,
39
7
Properties of Green s Functions; the Feynman-Kac Formula,
42
8
Functional Derivatives and Commutation Relations,
49
9
Brownian Motion and the Wiener Integral; Kac s Proof,
53
10
Perturbation Theory and Feynman Diagrams,
65
xl
CONTENTS
PART
Π
SELECTED APPLICATIONS OF
THE PATH INTEGRAL
71
11
Asymptotic Analysis,
73
12
The Calculus of Variations,
79
13
The WKB Approximation and its Application to
the Anharmonic Oscillator,
92
14
Detailed Presentation of the WKB Approximation,
108
15
WKB Near Caustics,
118
16
Caustics and Uniform Asymptotic Approximations,
131
17
The Phase of the Semiclassical Amplitude,
143
18
The Semiclassical Propagator as a Function of Energy,
147
19
Scattering Theory,
158
20
Geometrical Optics,
164
21
The Polaron,
170
22
Spin and Related Matters,
182
22.1
The Direct Method-Product Integrals or Time
Ordered Products,
182
22.2
Continuous Models for Spin,
185
23
Path Integrals
f
or Multiply Connected Spaces,
190
23.1
Particle Constrained to a Circle,
190
23.2
Rudiments of Homotopy Theory,
197
233
Homotopy Applied to the Path Integral,
205
23.4
Extensions of Symmetric Operators,
211
24
Quantum Mechanics on Curved Spaces,
214
CONTENTS xlii
25
Rdativistic Propagators and Black Holes,
225
26
Applications to Statistical Mechanics,
237
27
Coherent State Representation,
242
28
Systems with Random Impurities,
259
29
Critical Droplets, Alias Instantons, and Metastability,
271
Appendix: Small Oscillations about (he
Instanton,
284
30
Renonnalization and Scaling for Critical Phenomena,
290
31
Phase Space Path Integral,
303
32
Omissions, Miscellany, and Prejudices,
315
32.1
Field Theory,
315
32.2
Uncompleting the Square,
325
323
Rubber: Path Integral Formulation of a Polymer as a
Random Walk,
332
32.4
Hard Sphere Gas Second Virial Coefficient,
333
32
S
Adding Paths by Computer,
339
32.6
A Perturbation Expansion Using the Path Integral,
344
32.7
Solvable Path Integral with the Potential
ax2+b/x2,
344
32.8
Superfluidity,
346
32.9
Fermions,
346
32.10
Books and Review Papers on Path Integrals,
347
Author Index
349
Subject Index
353
Supplements
361
|
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| discipline | Physik Mathematik |
| edition | Expanded republication of the 1996 printing |
| format | Book |
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| id | DE-604.BV024620761 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:03:12Z |
| institution | BVB |
| isbn | 0486445283 |
| language | English |
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| physical | XIII, 416 S. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Dover |
| record_format | marc |
| spelling | Schulman, Lawrence S. Verfasser aut Techniques and applications of path integration L.S. Schulman Expanded republication of the 1996 printing Mineola, N.Y. Dover 2005 XIII, 416 S. txt rdacontent n rdamedia nc rdacarrier Orig. publ.: New York : Wiley, 1981. With new supplementary section Path integrals Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Pfadintegral (DE-588)4173973-5 gnd rswk-swf Pfadintegral (DE-588)4173973-5 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 http://www.loc.gov/catdir/enhancements/fy0625/2005051788-d.html Verlag Verlagsmeldung Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018592749&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 | Schulman, Lawrence S. Techniques and applications of path integration Path integrals Mathematische Physik (DE-588)4037952-8 gnd Pfadintegral (DE-588)4173973-5 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4173973-5 |
| title | Techniques and applications of path integration |
| title_auth | Techniques and applications of path integration |
| title_exact_search | Techniques and applications of path integration |
| title_full | Techniques and applications of path integration L.S. Schulman |
| title_fullStr | Techniques and applications of path integration L.S. Schulman |
| title_full_unstemmed | Techniques and applications of path integration L.S. Schulman |
| title_short | Techniques and applications of path integration |
| title_sort | techniques and applications of path integration |
| topic | Path integrals Mathematische Physik (DE-588)4037952-8 gnd Pfadintegral (DE-588)4173973-5 gnd |
| topic_facet | Path integrals Mathematische Physik Pfadintegral |
| url | http://www.loc.gov/catdir/enhancements/fy0625/2005051788-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018592749&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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