Scattering theory:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
1991
|
Schriftenreihe: | Springer series in nuclear and particle physics
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Literaturverz. S. 287 - 289 |
Beschreibung: | XI, 294 S. graph. Darst. |
ISBN: | 354051953X 038751953X |
Internformat
MARC
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100 | 1 | |a Sitenko, Aleksej G. |e Verfasser |4 aut | |
240 | 1 | 0 | |a Teorija rassejanija |
245 | 1 | 0 | |a Scattering theory |c Aleksei G. Sitenko. Transl. by O. D. Kocherga |
264 | 1 | |a Berlin [u.a.] |b Springer |c 1991 | |
300 | |a XI, 294 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 0 | |a Springer series in nuclear and particle physics | |
500 | |a Literaturverz. S. 287 - 289 | ||
650 | 0 | 7 | |a Streutheorie |0 (DE-588)4183697-2 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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adam_text |
CONTENTS
1. QUANTUM MECHANICAL DESCRIPTION AND REPRESENTATIONS . 1
1.1 QUANTUM MECHANICAL DESCRIPTION OF PHYSICAL SYSTEMS . 1
1.2 SCHRDDINGER REPRESENTATION . 4
1.3 HEISENBERG REPRESENTATION . 5
1.4 INTERACTION REPRESENTATION . 6
1.5 TIME-DEPENDENT GREEN FUNCTIONS . 7
PROBLEMS . 8
2. THE SCATTERING MATRIX AND DRANSITION PROBABILITY . 11
2.1 THE SCATTERING MATRIX . 11
2.2 TIME SHIFT OPERATOR IN THE INTERACTION REPRESENTATION . 14
2.3 INTEGRALS OF MOTION AND
S
MATRIX DIAGONALIZATION . 17
2.4 TRANSITION PROBABILITY PER UNIT TIME . 18
2.5 INTEGRAL EQUATION FOR THE
T
MATRIX . 21
2.6 TRANSFORMATION OF THE SCATTERING MATRIX. CROSS SECTIONS . 22
PROBLEMS . 26
3. STATIONARY SCATTERING THEORY . 30
3.1 THE SCATTERING AMPLITUDE . 30
3.2 THE IIPPMANN-SCHWINGER EQUATION . 33
3.3 THE MSLLER OPERATORS /?+ AND
Q
. 35
3.4 THE GREEN FUNCTIONS
GO
AND
G
. 39
3.5 THE SCATTERING AMPLITUDE AND THE TRANSITION MATRIX . 42
3.6 INELASTIC SCATTERING AND REACTIONS . 43
3.7 BOM APPROXIMATION AND PERTURBATION THEORY . 46
3.8 HIGH ENERGY APPROXIMATION . 51
PROBLEMS . 53
4. PARTICLE WAVE FUNCTIONS IN THE EXTERNAL FIELD . 61
4.1 PARTIAL WAVE EXPANSION . 61
4.2 SQUARE WELL POTENTIAL . 66
4.3 COULOMB REID . 70
4.4 PARTIAL GREEN FUNCTIONS AND THE SCATTERING MATRIX . 72
4.5 VARIABLE PHASE APPROACH . 76
PROBLEMS . 79
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/910499128
X
CONTENTS
5. OPTICAL THEOREM . 84
5.1 THE TOTAL CROSS SECTION AND THE ELASTIC SCATTERING AMPLITUDE 84
5.2 UNITARITY RELATION FOR THE ELASTIC SCATTERING AMPLITUDE . 85
PROBLEMS . 87
6. TIME INVERSION AND RECIPROCITY THEOREM . 90
6.1 TRANSFORMATION OF WAVE FUNCTIONS AND OPERATORS
UNDER INVERSION OF TIME . 90
6.2 TIME INVERSION OPERATORS FOR PARTICULAR SYSTEMS . 92
6.3 TIME-INVERSED WAVE FUNCTION . 93
6.4 THE RECIPROCITY THEOREM AND DETAILED BALANCE . 97
PROBLEMS . 99
7. ANALYTIC PROPERTIES OF THE SCATTERING MATRIX . 100
7.1 ANALYTIC PROPERTIES OF RADIAL WAVE FUNCTIONS . 100
7.2 GENERALIZATION TO INCLUDE NONZERO ANGULAR MOMENTA . 108
7.3 JOST FUNCTION ZEROS AND BOUND STATES . 110
7.4 SYMMETRY AND DISLOCATION OF SCATTERING MATRIX
SINGULARITIES IN THE COMPLEX
K
PLANE . 114
7.5 BOUND STATES AND EXTRA ZEROS . 117
7.6 QUASISTATIONARY STATES AND RESONANCES . 120
7.7 VIRTUAL STATES . 126
7.8 THE SCATTERING MATRIX IN THE CASE OF A SQUARE WELL POTENTIAL 127
PROBLEMS . 135
8. DISPERSION RELATIONS . 143
8.1 INTEGRAL REPRESENTATIONS OF THE JOST FUNCTIONS . 143
8.2 LEVINSON THEOREM . 146
8.3 COMPLEX ENERGY SHELL . 147
8.4 ANALYTICITY OF THE SCATTERING MATRIX AND THE CAUSALITY PRINCIPLE 149
8.5 DISPERSION RELATIONS FOR THE FORWARD
DIRECTION SCATTERING AMPLITUDE . 151
8.6 DISPERSION RELATIONS FOR THE ARBITRARY
DIRECTION SCATTERING AMPLITUDE . 154
PROBLEMS . 157
9. COMPLEX ANGULAR MOMENTA . 162
9.1 ANALYTIC PROPERTIES OF THE SCATTERING MATRIX
IN THE COMPLEX ANGULAR MOMENTUM PLANE . 162
9.2 POLES OF THE SCATTERING MATRIX IN THE COMPLEX
ANGULAR MOMENTUM PLANE . 166
9.3 ANALYTIC PROPERTIES OF THE SCATTERING AMPLITUDE
IN THE COMPLEX
Z
PLANE . 171
9.4 ASYMPTOTIC BEHAVIOR OF THE SCATTERING AMPLITUDE FOR LARGE
Z
176
9.5 MOMENTUM TRANSFER DISPERSION RELATIONS . 177
PROBLEMS . 179
CONTENTS XI
10. DOUBLE DISPERSION RELATIONS . 183
10.1 MANDELSTAM REPRESENTATION . 183
10.2 SPECTRAL DENSITY AND UNITARITY CONDITION . 185
PROBLEMS . 189
11. THE INVERSE PROBLEM OF SCATTERING THEORY . 194
11.1 INTEGRAL REPRESENTATION OF THE SOLUTIONS
OF THE SCATTERING PROBLEM . 194
11.2 REPRODUCING THE POTENTIAL BY THE SCATTERING PHASE SHIFTS . 196
PROBLEMS . 199
12. SEPARABLE REPRESENTATION OF THE SCATTERING AMPLITUDE . 201
12.1 THE SCATTERING AMPLITUDE OFF THE ENERGY SHELL . 201
12.2 HILBERT-SCHMIDT EXPANSION OF THE SCATTERING AMPLITUDE . 203
12.3 PROPERTIES OF EIGENVALUES AND EIGENFUNCTIONS
OF THE KERNEL OF THE LIPPMANN-SCHWINGER EQUATION . 205
PROBLEMS . 212
13. THREE-PARTICLE SCATTERING . 218
13.1 THE FADDEEV EQUATIONS . 218
13.2 COORDINATES AND MOMENTA IN THE THREE-PARTICLE SYSTEM . 221
13.3 MOMENTUM REPRESENTATION . 224
13.4 PARTIAL WAVE EXPANSION . 226
13.5 SEPARABLE EXPANSION OF THE TWO-PARTICLE
T
MATRIX
AND ONE-DIMENSIONAL FORM OF THE FADDEEV EQUATIONS . 229
PROBLEMS . 234
14. SCATTERING OF SPIN-POSSESSING PARTICLES . 242
14.1 THE SPIN WAVE FUNCTION AND THE DENSITY MATRIX . 242
14.2 SPIN-TENSOR EXPANSION OF THE DENSITY MATRIX . 248
14.3 THE SCATTERING AMPLITUDE IN THE CASE
OF SPIN-POSSESSING PARTICLES . 253
14.4 ADDITION OF SPIN AND ANGULAR MOMENTUM
AND DIAGONALIZATION OF THE
S
MATRIX . 258
14.5 SPIN | - SPIN 0 PARTICLE SCATTERING . 263
14.6 SPIN 1 - SPIN 0 PARTICLE SCATTERING . 271
PROBLEMS . 277
APPENDIX . 285
REFERENCES . 287
GENERAL READING . 291
SUBJECT INDEX . 293 |
any_adam_object | 1 |
author | Sitenko, Aleksej G. |
author_facet | Sitenko, Aleksej G. |
author_role | aut |
author_sort | Sitenko, Aleksej G. |
author_variant | a g s ag ags |
building | Verbundindex |
bvnumber | BV024784503 |
classification_rvk | UK 7500 |
ctrlnum | (OCoLC)246925670 (DE-599)BVBBV024784503 |
discipline | Physik |
format | Book |
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id | DE-604.BV024784503 |
illustrated | Illustrated |
indexdate | 2024-09-16T14:03:25Z |
institution | BVB |
isbn | 354051953X 038751953X |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019466557 |
oclc_num | 246925670 |
open_access_boolean | |
owner | DE-11 DE-188 |
owner_facet | DE-11 DE-188 |
physical | XI, 294 S. graph. Darst. |
publishDate | 1991 |
publishDateSearch | 1991 |
publishDateSort | 1991 |
publisher | Springer |
record_format | marc |
series2 | Springer series in nuclear and particle physics |
spelling | Sitenko, Aleksej G. Verfasser aut Teorija rassejanija Scattering theory Aleksei G. Sitenko. Transl. by O. D. Kocherga Berlin [u.a.] Springer 1991 XI, 294 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in nuclear and particle physics Literaturverz. S. 287 - 289 Streutheorie (DE-588)4183697-2 gnd rswk-swf Streutheorie (DE-588)4183697-2 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019466557&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Sitenko, Aleksej G. Scattering theory Streutheorie (DE-588)4183697-2 gnd |
subject_GND | (DE-588)4183697-2 |
title | Scattering theory |
title_alt | Teorija rassejanija |
title_auth | Scattering theory |
title_exact_search | Scattering theory |
title_full | Scattering theory Aleksei G. Sitenko. Transl. by O. D. Kocherga |
title_fullStr | Scattering theory Aleksei G. Sitenko. Transl. by O. D. Kocherga |
title_full_unstemmed | Scattering theory Aleksei G. Sitenko. Transl. by O. D. Kocherga |
title_short | Scattering theory |
title_sort | scattering theory |
topic | Streutheorie (DE-588)4183697-2 gnd |
topic_facet | Streutheorie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019466557&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT sitenkoaleksejg teorijarassejanija AT sitenkoaleksejg scatteringtheory |