Supersymmetry: basics and concepts
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Delhi [u.a.]
Narosa Publ. House
2000
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXIV, 168 S. |
| ISBN: | 8173192960 |
Staff View
MARC
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| 245 | 1 | 0 | |a Supersymmetry |b basics and concepts |c S. K. Soni ; Simmi Singh |
| 264 | 1 | |a New Delhi [u.a.] |b Narosa Publ. House |c 2000 | |
| 300 | |a XXIV, 168 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Supersymmetry | |
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| 700 | 1 | |a Singh, Simmi |e Verfasser |0 (DE-588)124750354 |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009721481&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009721481 | ||
Record in the Search Index
| _version_ | 1804129061001232384 |
|---|---|
| adam_text | Contents
Foreword
vii
Preface
ix
Acknowledgements
xiii
Introduction
xix
1
Spin Magnetism of the Electron
1
1.1
Spin and Magnetic Moment of the Electron
...... 1
1.2
Spin Precession in a Magnetic Field
.......... 3
2
Spin Contribution to the Hamiltonian
7
2.1
Magnetic
Dipole
Interaction of Spin
.......... 7
2.2
Classical Phase Space of the Quantum Spin System
. . 11
3
Anticommuting
Grassmann
numbers
13
3.1
Fermions
and
Grassmann
Numbers
........... 13
3.2
The Superalgebra
ЗЩЫ/М)
.............. 17
3.3
The Supergroup SUiN/M)
............... 20
4
Pseudoclassical Description
oř
Spin
21
4.1
Transformation Properties under Rotations
...... 21
4.2
Lagrangian Description of Spin
............. 22
5
Generalised
Poisson
Brackets
27
5.1
Definition of Generalized
Poisson
Bracket»
....... 27
5.2
Algebraic Structure of
Poisson
Brackets
........ 29
5.3
Quantization
....................... 31
xvi CONTENTS
6
Derivation of the Electron s (/-Factor
33
6.1
Why Not a Classical Derivation of
3 = 2?....... 33
6.2
Corben s Classical Mechanical Reasoning
....... 34
7
A Glimpse of Supersymmetry
37
7.1
Supersymmetry Transformations and Superspace
... 37
7.2 5 = 2
Implies Supersymmetry
.............. 39
8
Supersymmetric Point Charge
41
8.1
Superposed Case
:
Free Particles
............ 41
8.2
Superposed Case
:
Interacting Particles
........ 44
8.3
Integration on
Grassmann
Algebras
........... 46
8.4
Action in a Superspace Form
.............. 49
9
Supersymmetric Harmonic Oscillator
53
9.1
Fermi Case
. ....................... 53
9.2
Fermi
Bose
Case
..................... 55
9.3
Supersymmetric Oscillator in a Superspace Form
... 58
10
Supersymmetric Classical Mechanics
61
10.1
Supersymmetry Algebra in Quantum Mechanics
... 61
10.2
Quantization of Supersymmetric Oscillator
...... 63
10.3
Supersymmetric Classical Mechanics
.......... 67
10.4
Supersymmetric Quantum Mechanics
.......... 68
10.5
Physical Illustration
................... 71
11
Spinor Notation and Algebra
73
11.1
SL(2, C) and its Two Dimensional Representation
. . 73
11.2
Minkowski Metric in a Spinor Form
........... 76
11.3
Properties of the
е
-Symbol
................
76
11.4
Lorentz
Covariant Bilinears
............... 78
11.5
Spinor Algebra
...................... 79
11.6
Four Component Notation
................ 80
12
Superspace
83
12.1
Super-Minkowski Space
................. 83
12.2
Fierz and Spinor Identities
................ 84
12.3
The General Superfield
.................. 88
12.4
Field Representations of Supersymmetry
........ 89
CONTENTS xvii
13
Scalar
and Vector Superfields
93
13.1
Chiral and Antichiral Scalar Superfields
........ 95
13.2
Vector Superfields
.................... 97
13.3
Chiral and Antichiral Spinor Superfields
........ 99
14
Scalar Dynamics in Superspace
103
14.1
Source free Supersymmetric Field Equations
......103
14.2
Self Interaction among Scalar Superfields
.......105
15
Supersymmetric Quantum Electrodynamics
109
15.1
Interactions of Scalar and Vector
Multiplets
......109
15.2
Supersymmetric generalization of QED
.........112
16
Sample Calculation of a Tree Diagram
115
16.1
Electron Positron Annihilation
.............115
16.2
Sign of the Interference Term
..............118
16.3
Massless Limit
......................120
A Rotating Charged Sphere Model
123
A.I Canonical Momenta and Hamiltonian
.........124
A.2
Poisson
Brackets
.....................126
В
Solution of Classical Spin Precession
129
С
Basic Facts on
Grassmann
Algebras
133
D
Grassmann
Differentiation and Integration
137
D.I Derivatives
........................137
D.2 Integrals
..........................139
D.3 Applications to Supersymmetry
.............140
Б
Supermanifolds and Other Definitions
143
E.I Definition of a Manifold
.................143
E.2 Algebra A(U) and all Homomorpmsms puv
......144
E.3 Definition of a Supermanifojd
..............145
E.4 Other Notions of Supermanifolds
............145
F
Supersymmetry Algebra
149
G Spinors
in Arbitrary
Dimensions
153
G.I Case I
:
Even
D.....................
153
G.2
Case II
:
Odd D
.....................157
Bibliography
159
Index
165
|
| any_adam_object | 1 |
| author | Soni, S. K. Singh, Simmi |
| author_GND | (DE-588)124750346 (DE-588)124750354 |
| author_facet | Soni, S. K. Singh, Simmi |
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| author_sort | Soni, S. K. |
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| building | Verbundindex |
| bvnumber | BV014183543 |
| callnumber-first | Q - Science |
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| callnumber-raw | QC174.17.S9 |
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| callnumber-subject | QC - Physics |
| classification_rvk | UO 1560 |
| ctrlnum | (OCoLC)52885479 (DE-599)BVBBV014183543 |
| dewey-full | 539.7/25 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.7/25 |
| dewey-search | 539.7/25 |
| dewey-sort | 3539.7 225 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV014183543 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:59:08Z |
| institution | BVB |
| isbn | 8173192960 |
| language | English |
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| oclc_num | 52885479 |
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| owner | DE-20 DE-355 DE-BY-UBR |
| owner_facet | DE-20 DE-355 DE-BY-UBR |
| physical | XXIV, 168 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Narosa Publ. House |
| record_format | marc |
| spelling | Soni, S. K. Verfasser (DE-588)124750346 aut Supersymmetry basics and concepts S. K. Soni ; Simmi Singh New Delhi [u.a.] Narosa Publ. House 2000 XXIV, 168 S. txt rdacontent n rdamedia nc rdacarrier Supersymmetry Supersymmetrie (DE-588)4128574-8 gnd rswk-swf Supersymmetrie (DE-588)4128574-8 s DE-604 Singh, Simmi Verfasser (DE-588)124750354 aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009721481&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Soni, S. K. Singh, Simmi Supersymmetry basics and concepts Supersymmetry Supersymmetrie (DE-588)4128574-8 gnd |
| subject_GND | (DE-588)4128574-8 |
| title | Supersymmetry basics and concepts |
| title_auth | Supersymmetry basics and concepts |
| title_exact_search | Supersymmetry basics and concepts |
| title_full | Supersymmetry basics and concepts S. K. Soni ; Simmi Singh |
| title_fullStr | Supersymmetry basics and concepts S. K. Soni ; Simmi Singh |
| title_full_unstemmed | Supersymmetry basics and concepts S. K. Soni ; Simmi Singh |
| title_short | Supersymmetry |
| title_sort | supersymmetry basics and concepts |
| title_sub | basics and concepts |
| topic | Supersymmetry Supersymmetrie (DE-588)4128574-8 gnd |
| topic_facet | Supersymmetry Supersymmetrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009721481&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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