Holdings: Scattering theory :: THWS Bibkatalog

Scattering theory:

Saved in:

Bibliographic Details
Main Author:	Sitenko, Aleksej G. (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 1991
Series:	Springer series in nuclear and particle physics
Subjects:	Streutheorie
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturverz. S. 287 - 289
Physical Description:	XI, 294 S. graph. Darst.
ISBN:	354051953X 038751953X

Staff View

MARC


LEADER	00000nam a2200000 c 4500
001	BV024784503
003	DE-604
007	t
008	100417s1991 d\|\|\| \|\|\|\| 00\|\|\| eng d
016	7		\|a 910499128 \|2 DE-101
020			\|a 354051953X \|9 3-540-51953-X
020			\|a 038751953X \|9 0-387-51953-X
035			\|a (OCoLC)246925670
035			\|a (DE-599)BVBBV024784503
040			\|a DE-604 \|b ger \|e rakwb
041	0		\|a eng
049			\|a DE-11 \|a DE-188
084			\|a UK 7500 \|0 (DE-625)145803: \|2 rvk
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
689	0	0	\|a Streutheorie \|0 (DE-588)4183697-2 \|D s
689	0		\|5 DE-604
856	4	2	\|m DNB Datenaustausch \|q application/pdf \|u 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 \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-019466557

Record in the Search Index

_version_	1810361647727902720
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
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV024784503</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">100417s1991 d\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">910499128</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">354051953X</subfield><subfield code="9">3-540-51953-X</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">038751953X</subfield><subfield code="9">0-387-51953-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246925670</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV024784503</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UK 7500</subfield><subfield code="0">(DE-625)145803:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Sitenko, Aleksej G.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Teorija rassejanija</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Scattering theory</subfield><subfield code="c">Aleksei G. Sitenko. Transl. by O. D. Kocherga</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1991</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 294 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Springer series in nuclear and particle physics</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 287 - 289</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Streutheorie</subfield><subfield code="0">(DE-588)4183697-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Streutheorie</subfield><subfield code="0">(DE-588)4183697-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-019466557</subfield></datafield></record></collection>
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

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items