Hamiltonian mechanics of gauge systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2011
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge monographs on mathematical physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 466 S. Ill. |
| ISBN: | 9780521895125 052189512X |
Internformat
MARC
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| 100 | 1 | |a Prokhorov, Lev V. |e Verfasser |0 (DE-588)1018140891 |4 aut | |
| 245 | 1 | 0 | |a Hamiltonian mechanics of gauge systems |c by Lev V. Prokhorov, Sergei V. Shabanov |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2011 | |
| 300 | |a XVII, 466 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Cambridge monographs on mathematical physics | |
| 653 | |a Gauge invariance | ||
| 653 | |a Hamiltonian systems | ||
| 700 | 1 | |a Šabanov, Sergej V. |e Sonstige |0 (DE-588)1018141278 |4 oth | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021203137&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-021203137 | ||
Datensatz im Suchindex
| _version_ | 1804143924455931904 |
|---|---|
| adam_text | Contents
Preface
page
xi
1
Hamiltonian formalism
1
1.1
Hamilton s principle of stationary action
1
1.2
Hamiltonian equations of motion
7
1.3
The
Poisson
bracket
9
1.4
Canonical transformations
10
1.5
Generating functions of canonical transformations
12
1.6
Symmetries and integrals of motion
15
1.7
Lagrangian formalism for
Grassmann
variables
22
1.8
Hamiltonian formalism for
Grassmann
variables
25
1.9
Hamiltonian dynamics on supermanifolds
32
1.10
Canonical transformations on symplectic supermanifolds
37
1.11
Noethers theorem for systems on supermanifolds
45
1.12
Non-canonical transformations
50
1.13
Examples of systems with non-canonical symplectic structures
55
1.14
Some generalizations of the Hamiltonian dynamics
58
1.15
Hamiltonian mechanics. Recent developments
63
2
Hamiltonian path integrals
68
2.1
Introduction
68
2.2
Hamiltonian path integrals in quantum mechanics
70
2.3
Non-standard terms and basic equivalence rules
75
2.4
Equivalence rules
82
2.5
Rules for changing the base point
86
2.6
Canonical transformations and Hamiltonian path integrals
89
2.7
Problems with non-trivial boundary conditions
101
2.8
Quantization by the path integral method
130
3
Dynamical systems with constraints
141
3.1
Introduction
141
3.2
A general analysis of dynamical systems with constraints
148
3.3
Physical variables in systems with constraints
159
3.4
Nonlinear
Poisson
brackets and systems with constraints
165
vin
Contents
4
Quantization of constrained systems
171
4.1
The Dirac method
171
4.2
The operator ordering problem in constraints
180
4.3
Relativistic particle
185
4.4
Elimination of non-physical variables. The second-class constraints
189
5
Phase space in gauge theories
192
5.1
A simple model
193
5.2
Harmonic oscillator with a conic phase space
205
5.3
The residual discrete gauge group and the choice of physical
variables
209
5.4
Models with arbitrary simple compact gauge groups
222
5.5
Gauge systems with
Grassmann
variables
239
5.6
More general mechanical gauge systems with bosonic variables
244
5.7
Systems with
Bose
and Fermi degrees of freedom
256
5.8
Yang-Mills theories
265
5.9
Simple effects of the physical phase space structure in
quantum theory
298
6
Path integrals in gauge theories
316
6.1
Preliminary remarks
316
6.2
Hamiltonian path integral for gauge systems with conic phase
space
317
6.3
Models with more complicated structures of the physical phase
space
325
6.4
Models with Grassmann variables
336
6.5
Hamiltonian path integral in an arbitrary gauge
338
6.6
Hamiltonian path integrals for gauge systems with bosons and
fermions
349
6.7
The Kato-Trotter product formula for gauge theories
358
6.8
Simple consequences of the modification of the path integral
for gauge systems
380
7
Confinement
386
7.1
Introduction
386
7.2
Kinematics. Gauge fields and fiber bundle theory
391
7.3
Dynamics. Quantization
403
7.4
External fields of charges and static forces. Confinement
405
8
Supplementary material
419
8.1
A brief survey of the group theory
419
8.2
Grassmann variables
428
8.3
Gaussian integrals, the
Poisson
summation formula, kernel
Qn, and Van Fleck determinant
436
Contents
ix
8.4
Elimination
of gauge arbitrariness and residual gauge
transformations
440
8.5
Gauge-invariant representations of the unit operator kernel
448
References
452
Index
463
|
| any_adam_object | 1 |
| author | Prokhorov, Lev V. |
| author_GND | (DE-588)1018140891 (DE-588)1018141278 |
| author_facet | Prokhorov, Lev V. |
| author_role | aut |
| author_sort | Prokhorov, Lev V. |
| author_variant | l v p lv lvp |
| building | Verbundindex |
| bvnumber | BV037290539 |
| classification_rvk | UO 4020 |
| ctrlnum | (OCoLC)711867832 (DE-599)BSZ338375589 |
| dewey-full | 530.1435 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1435 |
| dewey-search | 530.1435 |
| dewey-sort | 3530.1435 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV037290539 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:55:23Z |
| institution | BVB |
| isbn | 9780521895125 052189512X |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021203137 |
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| owner_facet | DE-29T DE-19 DE-BY-UBM DE-703 |
| physical | XVII, 466 S. Ill. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge monographs on mathematical physics |
| spelling | Prokhorov, Lev V. Verfasser (DE-588)1018140891 aut Hamiltonian mechanics of gauge systems by Lev V. Prokhorov, Sergei V. Shabanov 1. publ. Cambridge Cambridge University Press 2011 XVII, 466 S. Ill. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mathematical physics Gauge invariance Hamiltonian systems Šabanov, Sergej V. Sonstige (DE-588)1018141278 oth Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021203137&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Prokhorov, Lev V. Hamiltonian mechanics of gauge systems |
| title | Hamiltonian mechanics of gauge systems |
| title_auth | Hamiltonian mechanics of gauge systems |
| title_exact_search | Hamiltonian mechanics of gauge systems |
| title_full | Hamiltonian mechanics of gauge systems by Lev V. Prokhorov, Sergei V. Shabanov |
| title_fullStr | Hamiltonian mechanics of gauge systems by Lev V. Prokhorov, Sergei V. Shabanov |
| title_full_unstemmed | Hamiltonian mechanics of gauge systems by Lev V. Prokhorov, Sergei V. Shabanov |
| title_short | Hamiltonian mechanics of gauge systems |
| title_sort | hamiltonian mechanics of gauge systems |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021203137&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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