Multiparticle quantum scattering in constant magnetic fields:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Soc.
2002
|
| Series: | Mathematical surveys and monographs
90 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 242 S. |
| ISBN: | 082182919X |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV014282925 | ||
| 003 | DE-604 | ||
| 005 | 20230907 | ||
| 007 | t | ||
| 008 | 020503s2002 |||| 00||| eng d | ||
| 020 | |a 082182919X |9 0-8218-2919-X | ||
| 035 | |a (OCoLC)48013385 | ||
| 035 | |a (DE-599)BVBBV014282925 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G | ||
| 050 | 0 | |a QA2 | |
| 050 | 0 | |a QC20.7.S3 | |
| 082 | 0 | |a 539.7/58 |2 21 | |
| 084 | |a PHY 027f |2 stub | ||
| 100 | 1 | |a Gérard, Christian |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Multiparticle quantum scattering in constant magnetic fields |c Christian Gérard ; Izabella Laba |
| 264 | 1 | |a Providence, RI |b American Mathematical Soc. |c 2002 | |
| 300 | |a XIII, 242 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical surveys and monographs |v 90 | |
| 650 | 4 | |a Champs magnétiques | |
| 650 | 4 | |a Diffusion (Physique nucléaire) | |
| 650 | 4 | |a Problème à petit nombre de corps | |
| 650 | 4 | |a Théorie quantique | |
| 650 | 4 | |a Few-body problem | |
| 650 | 4 | |a Magnetic fields | |
| 650 | 4 | |a Quantum scattering | |
| 650 | 0 | 7 | |a Streutheorie |0 (DE-588)4183697-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Magnetfeld |0 (DE-588)4074450-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Vielteilchensystem |0 (DE-588)4063491-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Vielteilchensystem |0 (DE-588)4063491-7 |D s |
| 689 | 0 | 1 | |a Streutheorie |0 (DE-588)4183697-2 |D s |
| 689 | 0 | 2 | |a Magnetfeld |0 (DE-588)4074450-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Laba, Izabella |e Verfasser |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-1317-0 |
| 830 | 0 | |a Mathematical surveys and monographs |v 90 |w (DE-604)BV000018014 |9 90 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009794845&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009794845 | ||
Record in the Search Index
| _version_ | 1804129174174040064 |
|---|---|
| adam_text | Contents
Preface ix
Notation xi
Chapter 1. Fundamentals 1
1.1. Introduction 2
1.2. Hamiltonians 9
1.3. Reducing transformations 21
1.4. Bound and scattering states 36
Chapter 2. Geometrical Methods I 45
2.1. N body geometry 46
2.2. Channel Hamiltonians 50
2.3. Partitions of unity 54
Chapter 3. The Mourre Theory 65
3.1. Local inequalities for operators 68
3.2. Basics of the Mourre theory 71
3.3. The strongly charged case 74
3.4. Analytically fibered operators 80
3.5. Two particle neutral systems 84
3.6. Dispersive channels 94
3.7. Three dimensional dispersive systems 104
3.8. Two dimensional dispersive systems 141
Chapter 4. Basic Propagation Estimates 143
4.1. Preliminaries 144
4.2. Asymptotic energy and maximal velocity estimates 150
4.3. Asymptotic velocity along the field 152
4.4. Minimal velocity estimates 155
Chapter 5. Geometrical Methods II 167
5.1. The center of orbit observable 168
5.2. Admissible functions 172
5.3. Propagation estimates in the transversal direction 184
Chapter 6. Wave Operators and Scattering Theory 201
6.1. Introduction 201
6.2. Channel identification operators 205
vii
viii CONTENTS
6.3. Three dimensional charged systems 206
6.4. Three dimensional dispersive systems 213
6.5. Two dimensional charged systems 221
6.6. Two dimensional systems with neutral pairs 223
Chapter 7. Open Problems 227
Chapter 8. Appendix 231
Bibliography 235
Index 241
|
| any_adam_object | 1 |
| author | Gérard, Christian Laba, Izabella |
| author_facet | Gérard, Christian Laba, Izabella |
| author_role | aut aut |
| author_sort | Gérard, Christian |
| author_variant | c g cg i l il |
| building | Verbundindex |
| bvnumber | BV014282925 |
| callnumber-first | Q - Science |
| callnumber-label | QA2 |
| callnumber-raw | QA2 QC20.7.S3 |
| callnumber-search | QA2 QC20.7.S3 |
| callnumber-sort | QA 12 |
| callnumber-subject | QA - Mathematics |
| classification_tum | PHY 027f |
| ctrlnum | (OCoLC)48013385 (DE-599)BVBBV014282925 |
| dewey-full | 539.7/58 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.7/58 |
| dewey-search | 539.7/58 |
| dewey-sort | 3539.7 258 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02005nam a2200529 cb4500</leader><controlfield tag="001">BV014282925</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230907 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">020503s2002 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">082182919X</subfield><subfield code="9">0-8218-2919-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)48013385</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014282925</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-91G</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA2</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC20.7.S3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">539.7/58</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 027f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Gérard, Christian</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Multiparticle quantum scattering in constant magnetic fields</subfield><subfield code="c">Christian Gérard ; Izabella Laba</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Mathematical Soc.</subfield><subfield code="c">2002</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIII, 242 S.</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="1" ind2=" "><subfield code="a">Mathematical surveys and monographs</subfield><subfield code="v">90</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Champs magnétiques</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Diffusion (Physique nucléaire)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Problème à petit nombre de corps</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Théorie quantique</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Few-body problem</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Magnetic fields</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantum scattering</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="650" ind1="0" ind2="7"><subfield code="a">Magnetfeld</subfield><subfield code="0">(DE-588)4074450-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Vielteilchensystem</subfield><subfield code="0">(DE-588)4063491-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Vielteilchensystem</subfield><subfield code="0">(DE-588)4063491-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><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="2"><subfield code="a">Magnetfeld</subfield><subfield code="0">(DE-588)4074450-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Laba, Izabella</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-1-4704-1317-0</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematical surveys and monographs</subfield><subfield code="v">90</subfield><subfield code="w">(DE-604)BV000018014</subfield><subfield code="9">90</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ 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=009794845&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009794845</subfield></datafield></record></collection> |
| id | DE-604.BV014282925 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:00:56Z |
| institution | BVB |
| isbn | 082182919X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009794845 |
| oclc_num | 48013385 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | XIII, 242 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | American Mathematical Soc. |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Gérard, Christian Verfasser aut Multiparticle quantum scattering in constant magnetic fields Christian Gérard ; Izabella Laba Providence, RI American Mathematical Soc. 2002 XIII, 242 S. txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs 90 Champs magnétiques Diffusion (Physique nucléaire) Problème à petit nombre de corps Théorie quantique Few-body problem Magnetic fields Quantum scattering Streutheorie (DE-588)4183697-2 gnd rswk-swf Magnetfeld (DE-588)4074450-4 gnd rswk-swf Vielteilchensystem (DE-588)4063491-7 gnd rswk-swf Vielteilchensystem (DE-588)4063491-7 s Streutheorie (DE-588)4183697-2 s Magnetfeld (DE-588)4074450-4 s DE-604 Laba, Izabella Verfasser aut Erscheint auch als Online-Ausgabe 978-1-4704-1317-0 Mathematical surveys and monographs 90 (DE-604)BV000018014 90 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009794845&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gérard, Christian Laba, Izabella Multiparticle quantum scattering in constant magnetic fields Mathematical surveys and monographs Champs magnétiques Diffusion (Physique nucléaire) Problème à petit nombre de corps Théorie quantique Few-body problem Magnetic fields Quantum scattering Streutheorie (DE-588)4183697-2 gnd Magnetfeld (DE-588)4074450-4 gnd Vielteilchensystem (DE-588)4063491-7 gnd |
| subject_GND | (DE-588)4183697-2 (DE-588)4074450-4 (DE-588)4063491-7 |
| title | Multiparticle quantum scattering in constant magnetic fields |
| title_auth | Multiparticle quantum scattering in constant magnetic fields |
| title_exact_search | Multiparticle quantum scattering in constant magnetic fields |
| title_full | Multiparticle quantum scattering in constant magnetic fields Christian Gérard ; Izabella Laba |
| title_fullStr | Multiparticle quantum scattering in constant magnetic fields Christian Gérard ; Izabella Laba |
| title_full_unstemmed | Multiparticle quantum scattering in constant magnetic fields Christian Gérard ; Izabella Laba |
| title_short | Multiparticle quantum scattering in constant magnetic fields |
| title_sort | multiparticle quantum scattering in constant magnetic fields |
| topic | Champs magnétiques Diffusion (Physique nucléaire) Problème à petit nombre de corps Théorie quantique Few-body problem Magnetic fields Quantum scattering Streutheorie (DE-588)4183697-2 gnd Magnetfeld (DE-588)4074450-4 gnd Vielteilchensystem (DE-588)4063491-7 gnd |
| topic_facet | Champs magnétiques Diffusion (Physique nucléaire) Problème à petit nombre de corps Théorie quantique Few-body problem Magnetic fields Quantum scattering Streutheorie Magnetfeld Vielteilchensystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009794845&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000018014 |
| work_keys_str_mv | AT gerardchristian multiparticlequantumscatteringinconstantmagneticfields AT labaizabella multiparticlequantumscatteringinconstantmagneticfields |