Geometry, particles, and fields:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | German |
Veröffentlicht: |
New York [u.a.]
Springer
1998
|
Ausgabe: | Corr. reprint of the 1. ed. publ. by Odense Univ. Press |
Schriftenreihe: | Graduate texts in contemporary physics
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | X, 672 S. Ill., graph. Darst. |
ISBN: | 0387982671 |
Internformat
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245 | 1 | 0 | |a Geometry, particles, and fields |c Bjørn Felsager |
250 | |a Corr. reprint of the 1. ed. publ. by Odense Univ. Press | ||
264 | 1 | |a New York [u.a.] |b Springer |c 1998 | |
300 | |a X, 672 S. |b Ill., graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
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490 | 0 | |a Graduate texts in contemporary physics | |
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Datensatz im Suchindex
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adam_text |
CONTENTS
PREFACE
V
P
ART
I.
B
ASIC
P
ROPERTIES
OF
P
ARTICLES
AND
F
IELDS
1
1.
ELECTROMAGNETISM
3
1.1.
THE
ELECTROMAGNETIC
FIELD
3
1.2.
THE
INTRODUCTION
OF
GAUGE
POTENTIALS
IN
ELECTROMAGNETISM
7
1.3.
MAGNETIC
FLUX
11
1.4.
ILLUSTRATIVE
EXAMPLE:
THE
GAUGE
POTENTIAL
OF
A
SOLENOID
14
1.5.
RELATIVISTIC
FORMULATION
OF
THE
THEORY
OF
ELECTROMAGNETISM
20
1.6.
THE
ENERGY-MOMENTUM
TENSOR
23
SOLUTIONS
TO
WORKED
EXERCIES
28
2.
INTERACTION
OF
FIELDS
AND
PARTICLES
32
2.1.
INTRODUCTION
32
2.2.
THE
LAGRANGIAN
FORMALISM
FOR
PARTICLES:
THE
NONRELATIVISTIC
CASE
33
2.3.
BASIC
PRINCIPLES
OF
QUANTUM
MECHANICS
40
2.4.
PATH
INTEGRALS:
THE
FEYNMAN
PROPAGATOR
43
2.5.
ILLUSTRATIVE
EXAMPLE:
THE
FREE
PARTICLE
PROPAGATOR
47
2.6.
THE
BOHM-AHARONOV
EFFECT:
THE
LORENTZ
FORCE
51
2.7.
GAUGE
TRANSFORMATION
OF
THE
SCHRODINGER
WAVE
FUNCTION
56
2.8.
QUANTUM
MECHANICS
OF
A
CHARGED
PARTICLE
AS
A
GAUGE
THEORY
59
2.9.
THE
SCHRODINGER
EQUATION
IN
THE
PATH
INTEGRAL
FORMALISM
63
2.10.
THE
HAMILTONIAN
FORMALISM
67
2.11.
CANONICAL
QUANTIZATION
AND
THE
SCHRODINGER
EQUATION
70
2.12.
ILLUSTRATIVE
EXAMPLE:
SUPERCONDUCTORS
AND
FLUX
QUANTIZATION
74
SOLUTIONS
TO
WORKED
EXERCISES
81
3.
DYNAMICS
OF
CLASSICAL
FIELDS
86
3.1.
ILLUSTRATIVE
EXAMPLE:
THE
LAGRANGIAN
FORMALISM
FOR
A
STRING
86
3.2.
THE
LAGRANGIAN
FORMALISM
FOR
RELATIVISTIC
FIELDS
90
VIII
CONTENTS
3.3.
THE
HAMILTONIAN
FORMALISM
FOR
RELATIVISTIC
FIELDS
94
3.4.
THE
KLEIN-GORDON
FIELD
99
3.5.
THE
MAXWELL
FIELD
102
3.6.
SPIN
OF
THE
PHOTON
-
POLARIZATION
OF
ELECTROMAGNETIC
WAVES
107
3.7.
THE
MASSIVE
VECTOR
FIELD
112
3.8.
THE
CAUCHY
PROBLEM
113
3.9.
THE
COMPLEX
KLEIN-GORDON
FIELD
118
3.10.
THE
THEORY
OF
ELECTRICALLY
CHARGED
FIELDS
AS
A
GAUGE
THEORY
121
3.11.
CHARGE
CONSERVATION
AS
A
CONSEQUENCE
OF
GAUGE
SYMMETRY
124
3.12.
THE
EQUIVALENCE
OF
REAL
AND
COMPLEX
FIELD
THEORIES
127
SOLUTIONS
TO
WORKED
EXERCISES
129
4.
SOLITONS
133
4.1.
NONLINEAR
FIELD
THEORIES
WITH
A
DEGENERATE
VACUUM
133
4.2.
TOPOLOGICAL
CHARGES
138
4.3.
SOLITARY
WAVES
142
4.4.
GROUND
STATES
FOR
THE
NONPERTURBATIVE
SECTORS
145
4.5.
SOLITONS
150
4.6.
THE
BACKLUND
TRANSFORMATION
156
4.7.
DYNAMICAL
STABILITY
OF
SOLITONS
160
4.8.
THE
PARTICLE
SPECTRUM
IN
NONLINEAR
FIELD
THEORIES
167
SOLUTIONS
TO
WORKED
EXERCISES
172
5.
PATH
INTEGRALS
AND
INSTANTONS
176
5.1.
THE
FEYNMAN
PROPAGATOR
REVISITED
176
5.2.
ILLUSTRATIVE
EXAMPLE:
THE
HARMONIC
OSCILLATOR
181
5.3.
THE
PATH
INTEGRAL
REVISITED
191
5.4.
ILLUSTRATIVE
EXAMPLE:
THE
TIME-DEPENDENT
OSCILLATOR
198
5.5.
PATH
INTEGRALS
AND
DETERMINANTS
203
5.6.
THE
BOHR-SOMMERFIELD
QUANTIZATION
RULE
207
5.7.
INSTANTONS
AND
EUCLIDEAN
FIELD
THEORY
221
5.8.
INSTANTONS
AND
THE
TUNNEL
EFFECT
227
5.9.
INSTANTON
CALCULATION
OF
THE
LOW-LYING
ENERGY
LEVELS
234
5.10.
ILLUSTRATIVE
EXAMPLE:
CALCULATION
OF
THE
PARAMETER
A
244
SOLUTIONS
TO
WORKED
EXERCISES
253
P
ART
II.
B
ASIC
P
RINCIPLES
AND
A
PPLICATIONS
OF
D
IFFERENTIAL
G
EOMETRY
255
6.
DIFFERENTIABLE
MANIFOLDS
-
TENSOR
ANALYSIS
257
6.1.
COORDINATE
SYSTEMS
257
6.2.
DIFFERENTIABLE
MANIFOLDS
264
6.3.
PRODUCT
MANIFOLDS
AND
MANIFOLDS
DEFINED
BY
CONSTRAINTS
271
6.4.
TANGENT
VECTORS
278
6.5.
METRICS
285
CONTENTS
IX
6.6.
THE
MINKOWSKI
SPACE
292
6.7.
THE
ACTION
PRINCIPLE
FOR
A
RELATIVISTIC
PARTICLE
300
6.8.
COVECTORS
309
6.9.
TENSORS
318
6.10.
TENSOR
FIELDS
IN
PHYSICS
327
SOLUTIONS
TO
WORKED
EXERCISES
330
7.
DIFFERENTIAL
FORMS
AND
THE
EXTERIOR
CALCULUS
334
7.1.
INTRODUCTION
334
7.2.
K
-FORMS
-THE
WEDGE
PRODUCT
336
7.3.
THE
EXTERIOR
DERIVATIVE
345
7.4.
THE
VOLUME
FORM
351
7.5.
THE
DUAL
MAP
360
7.6.
THE
CODIFFERENTIAL
AND
THE
LAPLACIAN
367
7.7.
EXTERIOR
CALCULUS
IN
3
AND
4
DIMENSIONS
373
7.8.
ELECTROMAGNETISM
AND
THE
EXTERIOR
CALCULUS
383
SOLUTIONS
TO
WORKED
EXERCISES
392
8.
INTEGRAL
CALCULUS
ON
MANIFOLDS
402
8.1.
INTRODUCTION
402
8.2.
SUBMANIFOLDS
-
REGULAR
DOMAINS
404
8.3.
THE
INTEGRAL
OF
DIFFERENTIAL
FORMS
412
8.4.
ELEMENTARY
PROPERTIES
OF
THE
INTEGRAL
420
8.5.
THE
HILBERT
PRODUCT
OF
TWO
DIFFERENTIAL
FORMS
430
8.6.
THE
LAGRANGIAN
FORMALISM
AND
THE
EXTERIOR
CALCULUS
434
8.7.
INTEGRAL
CALCULUS
AND
ELECTROMAGNETISM
438
8.8.
THE
NAMBU
STRING
AND
THE
NIELSEN-OLESEN
VORTEX
453
8.9.
SINGULAR
FORMS
466
SOLUTIONS
TO
WORKED
EXERCISES
474
9.
DIRAC
MONOPOLES
484
9.1.
MAGNETIC
CHARGES
AND
CURRENTS
484
9.2.
THE
DIRAC
STRING
491
9.3.
DIRAC
'
S
LAGRANGIAN
PRINCIPLE
FOR
MAGNETIC
MONOPOLES
498
9.4.
THE
ANGULAR
MOMENTUM
DUE
TO
A
MONOPOLE
FIELD
505
9.5.
QUANTIZATION
OF
THE
ANGULAR
MOMENTUM
510
9.6.
THE
GAUGE
TRANSFORMATION
AS
A
UNITARY
TRANSFORMATION
517
9.7.
QUANTIZATION
OF
THE
MAGNETIC
CHARGE
520
SOLUTIONS
TO
WORKED
EXERCISES
523
10.
SMOOTH
MAPS
-
WINDING
NUMBERS
534
10.1.
LOCAL
PROPERTIES
OF
SMOOTH
MAPS
534
10.2.
PULLBACKS
OF
COTENSORS
543
10.3.
ISOMETRIES
AND
CONFORMAL
MAPS
553
10.4.
THE
CONFORMAL
GROUP
562
X
CONTENTS
10.5.
THE
DUAL
MAP
574
10.6.
THE
SELF-DUALITY
EQUATION
576
10.7.
WINDING
NUMBERS
586
10.8.
THE
HEISENBERG
FERROMAGNET
594
10.9.
THE
EXCEPTIONAL
0
4
-MODEL
603
SOLUTIONS
TO
WORKED
EXERCISES
607
11.
SYMMETRIES
AND
CONSERVATION
LAWS
614
11.1.
CONSERVATION
LAWS
614
11.2.
SYMMETRIES
AND
CONSERVATION
LAWS
IN
QUANTUM
MECHANICS
619
11.3.
CONSERVATION
OF
ENERGY,
MOMENTUM
AND
ANGULAR
MOMENTUM
IN
QUANTUM
MECHANICS
624
11.4.
SYMMETRIES
AND
CONSERVATION
LAWS
IN
CLASSICAL
FIELD
THEORY
628
11.5.
ISOMETRIES
AS
SYMMETRY
TRANSFORMATIONS
634
11.6.
THE
TRUE
ENERGY-MOMENTUM
TENSOR
FOR
VECTOR
FIELDS
639
11.7.
ENERGY-MOMENTUM
CONSERVATION
AS
A
CONSEQUENCE
OF
COVARIANCE
642
11.8.
SCALE
INVARIANCE
IN
CLASSICAL
FIELD
THEORIES
647
11.9.
CONFORMAL
TRANSFORMATIONS
AS
SYMMETRY
TRANSFORMATIONS
654
SOLUTIONS
TO
WORKED
EXERCISES
661
INDEX
667 |
any_adam_object | 1 |
author | Felsager, Bjørn |
author_facet | Felsager, Bjørn |
author_role | aut |
author_sort | Felsager, Bjørn |
author_variant | b f bf |
building | Verbundindex |
bvnumber | BV011865608 |
callnumber-first | Q - Science |
callnumber-label | QC793 |
callnumber-raw | QC793.3.F5 |
callnumber-search | QC793.3.F5 |
callnumber-sort | QC 3793.3 F5 |
callnumber-subject | QC - Physics |
classification_rvk | SK 950 UO 4000 |
classification_tum | PHY 023f PHY 014f PHY 035f PHY 410f |
ctrlnum | (OCoLC)247705265 (DE-599)BVBBV011865608 |
dewey-full | 530.14 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 530 - Physics |
dewey-raw | 530.14 |
dewey-search | 530.14 |
dewey-sort | 3530.14 |
dewey-tens | 530 - Physics |
discipline | Physik Mathematik |
edition | Corr. reprint of the 1. ed. publ. by Odense Univ. Press |
format | Book |
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genre | (DE-588)4151278-9 Einführung gnd-content |
genre_facet | Einführung |
id | DE-604.BV011865608 |
illustrated | Illustrated |
indexdate | 2024-08-18T00:07:36Z |
institution | BVB |
isbn | 0387982671 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008016296 |
oclc_num | 247705265 |
open_access_boolean | |
owner | DE-29T DE-19 DE-BY-UBM DE-384 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-20 DE-83 DE-188 |
owner_facet | DE-29T DE-19 DE-BY-UBM DE-384 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-20 DE-83 DE-188 |
physical | X, 672 S. Ill., graph. Darst. |
publishDate | 1998 |
publishDateSearch | 1998 |
publishDateSort | 1998 |
publisher | Springer |
record_format | marc |
series2 | Graduate texts in contemporary physics |
spelling | Felsager, Bjørn Verfasser aut Geometry, particles, and fields Bjørn Felsager Corr. reprint of the 1. ed. publ. by Odense Univ. Press New York [u.a.] Springer 1998 X, 672 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate texts in contemporary physics Field theory (Physics) Geometry, Differential Particles (Nuclear physics) Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Feld Physik (DE-588)4153902-3 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Elementarteilchen (DE-588)4014413-6 gnd rswk-swf Eichtheorie (DE-588)4122125-4 gnd rswk-swf Elementarteilchenphysik (DE-588)4014414-8 gnd rswk-swf Feldtheorie (DE-588)4016698-3 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Elementarteilchenphysik (DE-588)4014414-8 s Feldtheorie (DE-588)4016698-3 s Differentialgeometrie (DE-588)4012248-7 s DE-604 Elementarteilchen (DE-588)4014413-6 s Feld Physik (DE-588)4153902-3 s 1\p DE-604 Eichtheorie (DE-588)4122125-4 s 2\p DE-604 Quantenfeldtheorie (DE-588)4047984-5 s 3\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008016296&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Felsager, Bjørn Geometry, particles, and fields Field theory (Physics) Geometry, Differential Particles (Nuclear physics) Quantenfeldtheorie (DE-588)4047984-5 gnd Feld Physik (DE-588)4153902-3 gnd Differentialgeometrie (DE-588)4012248-7 gnd Elementarteilchen (DE-588)4014413-6 gnd Eichtheorie (DE-588)4122125-4 gnd Elementarteilchenphysik (DE-588)4014414-8 gnd Feldtheorie (DE-588)4016698-3 gnd |
subject_GND | (DE-588)4047984-5 (DE-588)4153902-3 (DE-588)4012248-7 (DE-588)4014413-6 (DE-588)4122125-4 (DE-588)4014414-8 (DE-588)4016698-3 (DE-588)4151278-9 |
title | Geometry, particles, and fields |
title_auth | Geometry, particles, and fields |
title_exact_search | Geometry, particles, and fields |
title_full | Geometry, particles, and fields Bjørn Felsager |
title_fullStr | Geometry, particles, and fields Bjørn Felsager |
title_full_unstemmed | Geometry, particles, and fields Bjørn Felsager |
title_short | Geometry, particles, and fields |
title_sort | geometry particles and fields |
topic | Field theory (Physics) Geometry, Differential Particles (Nuclear physics) Quantenfeldtheorie (DE-588)4047984-5 gnd Feld Physik (DE-588)4153902-3 gnd Differentialgeometrie (DE-588)4012248-7 gnd Elementarteilchen (DE-588)4014413-6 gnd Eichtheorie (DE-588)4122125-4 gnd Elementarteilchenphysik (DE-588)4014414-8 gnd Feldtheorie (DE-588)4016698-3 gnd |
topic_facet | Field theory (Physics) Geometry, Differential Particles (Nuclear physics) Quantenfeldtheorie Feld Physik Differentialgeometrie Elementarteilchen Eichtheorie Elementarteilchenphysik Feldtheorie Einführung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008016296&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT felsagerbjørn geometryparticlesandfields |