Supersymmetric methods in quantum and statistical physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
1995
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Erlangen-Nürnberg, Univ., Habil.-Schr., 1995 |
| Beschreibung: | XII, 132 S. graph. Darst. |
Internformat
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| 100 | 1 | |a Junker, Georg |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Supersymmetric methods in quantum and statistical physics |c vorgelegt von Georg Junker |
| 264 | 1 | |c 1995 | |
| 300 | |a XII, 132 S. |b graph. Darst. | ||
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| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Erlangen-Nürnberg, Univ., Habil.-Schr., 1995 | ||
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Datensatz im Suchindex
| _version_ | 1807320690153488384 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
SUMMARY
.
V
LIST
OF
SYMBOLS
.
IX
0.
INTRODUCTION
.
1
1.
SUPERSYMMETRIC
QUANTUM
MECHANICS
.
5
1.1
DEFINITION
OF
SUSY
QUANTUM
MECHANICS
.
5
1.1.1
THE
PAULI
HAMILTONIAN
(N
=1)
.
7
1.1.2
WITTEN'
S
SUSY
QUANTUM
MECHANICS
(N
=
2)
.
8
1.1.3
NICOLAI
'
S
SUPERSYMMETRIC
HARMONIC-OSCILLATOR
CHAIN
.
9
1.2
PROPERTIES
OF
IV
=
2
SUSY
QUANTUM
MECHANICS
.
9
1.2.1
THE
WITTEN
PARITY
.
10
1.2.2
SUSY
TRANSFORMATIONS
.
12
1.2.3
GROUND-STATE
PROPERTIES
FOR
GOOD
SUSY
.
13
1.2.4
THE
WITTEN
INDEX
.
14
1.2.5
SUSY
AND
GAUGE
TRANSFORMATIONS
.
16
2.
THE
WITTEN
MODEL
.
17
2.1
WITTEN
'
S
MODEL
AND
ITS
GENERALIZATION
.
17
2.2
WITTEN
PARITY
AND
SUSY
TRANSFORMATION
.
18
2.3
THE
SUSY
POTENTIAL
AND
ZERO-ENERGY
STATES
.
19
2.3.1
GROUND
STATE
FOR
GOOD
SUSY
.
19
2.3.2
AN
ADDITIONAL
SYMMETRY
.
20
2.3.3
ASYMPTOTIC
BEHAVIOR
OF
THE
SUSY
POTENTIAL
.
21
2.4
BROKEN
VERSUS
GOOD
SUSY
.
23
2.5
EXAMPLES
.
25
2.5.1
SYSTEMS
ON
THE
REAL
LINE
.
25
2.5.2
SYSTEMS
ON
THE
HALF
LINE
.
28
2.5.3
SYSTEMS
ON
A
FINITE
INTERVAL
.
29
3.
SUPERSYMMETRIC
CLASSICAL
MECHANICS
.
31
3.1
PSEUDOCLASSICAL
MODELS
.
31
3.2
SUPERSYMMETRIC
CLASSICAL
MODELS
.
32
VIII
TABLE
OF
CONTENTS
3.3
THE
CLASSICAL
DYNAMICS
.
33
3.4
DISCUSSION
OF
THE
FERMIONIC
PHASE
.
36
3.5
QUANTIZATION
.
40
4.
EXACT
SOLUTION
OF
QUANTUM-MECHANICAL
EIGENVALUE
PROB
LEMS
.
45
4.1
SUPERSYMMETRIZATION
OF
ONE-DIMENSIONAL
SYSTEMS
.
45
4.2
SHAPE-INVARIANCE
AND
EXACT
SOLUTIONS
.
51
4.2.1
AN
EXPLICIT
EXAMPLE
.
54
4.2.2
COMPARISON
WITH
THE
FACTORIZATION
METHOD
.
54
5.
QUASI-CLASSICAL
PATH-INTEGRAL
APPROACH
.
59
5.1
THE
PATH-INTEGRAL
FORMALISM
.
59
5.1.1
THE
WKB
APPROXIMATION
IN
THE
PATH
INTEGRAL
.
60
5.1.2
QUASI-CLASSICAL
MODIFICATION
FOR
WITTEN
'
S
MODEL
.
62
5.2
QUASI-CLASSICAL
QUANTIZATION
CONDITIONS .
65
5.3
QUASI-CLASSICAL
EIGENFUNCTIONS
.
69
5.4
DISCUSSION
OF
THE
RESULTS
.
70
5.4.1
EXACTLY
SOLUBLE
EXAMPLES
.
70
5.4.2
NUMERICAL
INVESTIGATIONS
.
72
6.
SUPERSYMMETRY
IN
CLASSICAL
STOCHASTIC
DYNAMICS
.
85
6.1
LANGEVIN
AND
FOKKER-PLANCK
EQUATION
.
85
6.2
SUPERSYMMETRY
OF
THE
FOKKER-PLANCK
EQUATION
.
86
6.3
IMPLICATIONS
OF
SUPERSYMMETRY
.
89
6.3.1
GOOD
SUSY
.
89
6.3.2
BROKEN
SUSY
.
92
7.
SUPERSYMMETRY
IN
THE
PAULI
AND
DIRAC
EQUATION
.
97
7.1
PAULI
'
S
HAMILTONIAN
IN
TWO
AND
THREE
DIMENSIONS
.
97
7.2
PAULI
PARAMAGNETISM
OF
NON-INTERACTING
ELECTRONS,
REVISITED
.
100
7.2.1
TWO-DIMENSIONAL
ELECTRON
GAS
.
100
7.2.2
THREE-DIMENSIONAL
ELECTRON
GAS
.
102
7.2.3
THE
PARAMAGNETIC
CONJECTURE
AND
SUSY
.
103
7.3
THE
DIRAC
HAMILTONIAN
AND
SUSY
.
103
7.3.1
DIRAC
HAMILTONIAN
WITH
A
SCALAR
POTENTIAL
.
105
8.
CONCLUDING
REMARKS
.
107
REFERENCES
.
109
AUTHOR
INDEX
.
125
SUBJECT
INDEX
.
129 |
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| author_facet | Junker, Georg |
| author_role | aut |
| author_sort | Junker, Georg |
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| classification_rvk | UO 1500 |
| ctrlnum | (OCoLC)633259971 (DE-599)BVBBV010503764 |
| discipline | Physik |
| format | Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV010503764 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T00:28:41Z |
| institution | BVB |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007000163 |
| oclc_num | 633259971 |
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| owner | DE-29 DE-29T |
| owner_facet | DE-29 DE-29T |
| physical | XII, 132 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| record_format | marc |
| spelling | Junker, Georg Verfasser aut Supersymmetric methods in quantum and statistical physics vorgelegt von Georg Junker 1995 XII, 132 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Erlangen-Nürnberg, Univ., Habil.-Schr., 1995 Supersymmetrie (DE-588)4128574-8 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Statistische Physik (DE-588)4057000-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Supersymmetrie (DE-588)4128574-8 s Quantenmechanik (DE-588)4047989-4 s DE-604 Statistische Physik (DE-588)4057000-9 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007000163&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Junker, Georg Supersymmetric methods in quantum and statistical physics Supersymmetrie (DE-588)4128574-8 gnd Quantenmechanik (DE-588)4047989-4 gnd Statistische Physik (DE-588)4057000-9 gnd |
| subject_GND | (DE-588)4128574-8 (DE-588)4047989-4 (DE-588)4057000-9 (DE-588)4113937-9 |
| title | Supersymmetric methods in quantum and statistical physics |
| title_auth | Supersymmetric methods in quantum and statistical physics |
| title_exact_search | Supersymmetric methods in quantum and statistical physics |
| title_full | Supersymmetric methods in quantum and statistical physics vorgelegt von Georg Junker |
| title_fullStr | Supersymmetric methods in quantum and statistical physics vorgelegt von Georg Junker |
| title_full_unstemmed | Supersymmetric methods in quantum and statistical physics vorgelegt von Georg Junker |
| title_short | Supersymmetric methods in quantum and statistical physics |
| title_sort | supersymmetric methods in quantum and statistical physics |
| topic | Supersymmetrie (DE-588)4128574-8 gnd Quantenmechanik (DE-588)4047989-4 gnd Statistische Physik (DE-588)4057000-9 gnd |
| topic_facet | Supersymmetrie Quantenmechanik Statistische Physik Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007000163&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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