Linear infinite particle operators:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1995
|
| Series: | Translations of mathematical monographs
143 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russ. übers. |
| Physical Description: | VIII, 298 S. |
| ISBN: | 0821802836 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV010313352 | ||
| 003 | DE-604 | ||
| 005 | 19960605 | ||
| 007 | t | ||
| 008 | 950725s1995 |||| 00||| engod | ||
| 020 | |a 0821802836 |9 0-8218-0283-6 | ||
| 035 | |a (OCoLC)246828668 | ||
| 035 | |a (DE-599)BVBBV010313352 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-355 |a DE-634 | ||
| 084 | |a SK 620 |0 (DE-625)143249: |2 rvk | ||
| 100 | 1 | |a Malyšev, Vadim A. |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Linejnye operatory v beskonečnočastičnych sistemach |
| 245 | 1 | 0 | |a Linear infinite particle operators |c V. A. Malyshew ; R. A. Minlos |
| 246 | 1 | 3 | |a Linear infinite-particle operators |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1995 | |
| 300 | |a VIII, 298 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of mathematical monographs |v 143 | |
| 500 | |a Aus dem Russ. übers. | ||
| 650 | 0 | 7 | |a Markov-Prozess |0 (DE-588)4134948-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktionalanalysis |0 (DE-588)4018916-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Linearer Operator |0 (DE-588)4167721-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Spektraltheorie |0 (DE-588)4116561-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Statistische Physik |0 (DE-588)4057000-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Linearer Operator |0 (DE-588)4167721-3 |D s |
| 689 | 0 | 1 | |a Statistische Physik |0 (DE-588)4057000-9 |D s |
| 689 | 0 | 2 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Markov-Prozess |0 (DE-588)4134948-9 |D s |
| 689 | 1 | 1 | |a Linearer Operator |0 (DE-588)4167721-3 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Spektraltheorie |0 (DE-588)4116561-5 |D s |
| 689 | 2 | 1 | |a Linearer Operator |0 (DE-588)4167721-3 |D s |
| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Markov-Prozess |0 (DE-588)4134948-9 |D s |
| 689 | 3 | 1 | |a Funktionalanalysis |0 (DE-588)4018916-8 |D s |
| 689 | 3 | |5 DE-604 | |
| 700 | 1 | |a Minlos, Robert A. |e Verfasser |4 aut | |
| 830 | 0 | |a Translations of mathematical monographs |v 143 |w (DE-604)BV000002394 |9 143 | |
| 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=006861904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |n oe | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006861904 | ||
Record in the Search Index
| _version_ | 1804124731653226496 |
|---|---|
| adam_text | Contents
Introduction. What This Book is About 1
Chapter 0. Extended Introduction 3
§1. General outline 3
§2. Basic examples of physical systems 4
§3. Infinite systems and the thermodynamic limit 11
§4. Expansion of Heisenberg dynamics 15
§5. Euclidean approach 17
§6. Corpuscular picture (quasiparticles and scattering theory for infinite
quantum systems) 23
Chapter 1. Construction of a Nonequilibrium Dynamics 27
§1. The dynamics of an infinite one dimensional classical gas of interacting
solid rods 27
§2. A quick review of C* algebras 33
§3. Fock spaces and second quantization operators 37
§4. The CAR algebra and its free dynamics. Dynamics of a system of inter¬
acting fermions. Analog of Robinson s theorem 44
§5. Linear dynamics for fermion and boson systems 53
§6. Random dynamics (stochastic Langevin equations) 58
§7. Marginally closed Markov chains with local interaction 67
Chapter 2. Construction of an Equilibrium Dynamics 79
§1. Ground and temperature states 79
§2. Ground state for an infinite system of harmonic oscillators 85
§3. A free quasistate 88
§4. Fock representation for the dynamics of free systems 96
§5. The Euclidean approach 102
§6. Euclidean fields for temperature states. The modular operator 130
Chapter 3. Spectral Analysis of the Euclidean Field Transfer Matrix 139
§ 1. Cluster expansion of the transfer matrix 140
§2. Cluster operators. Definition and basic properties 148
§3. Invariant A: particle subspaces of a cluster operator 156
§4. Some examples 168
§5. Spectral analysis of the transfer matrix for a fermion field 184
§6. Continuous time models 194
§7. Spectral analysis of fc particle cluster operators 197
§8. Asymptotic decay of the correlation functions for Gibbs fields 208
vii
viii CONTENTS
Chapter 4. Asymptotic Completeness for Interacting Fermion Systems 211
§1. Fermi systems with bounded interaction 212
§2. Asymptotic completeness for interactions with vacuum polarization
(linked cluster theorem) 227
§3. Fermi gas interacting weakly with a particle 242
§4. Weak interaction limit for a quantum Schrodinger particle interacting
with Fermi gas 254
Chapter 5. The Method of Bethe Salpeter Kernels (Dyson s Equation) 259
§1. The Dyson equation and the Bethe Salpeter kernel method for the Ising
field 259
§2. One particle spectrum of the transfer matrix for a Gibbs field with un¬
bounded spin. Description of the model and results 266
§3. Cluster expansion of the covariance operators 269
§4. Dyson s equation for the covariance operators 275
§5. Analytic structure of the Green functions 284
Guide to the Literature 293
References 295
|
| any_adam_object | 1 |
| author | Malyšev, Vadim A. Minlos, Robert A. |
| author_facet | Malyšev, Vadim A. Minlos, Robert A. |
| author_role | aut aut |
| author_sort | Malyšev, Vadim A. |
| author_variant | v a m va vam r a m ra ram |
| building | Verbundindex |
| bvnumber | BV010313352 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)246828668 (DE-599)BVBBV010313352 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02403nam a2200589 cb4500</leader><controlfield tag="001">BV010313352</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19960605 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">950725s1995 |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821802836</subfield><subfield code="9">0-8218-0283-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246828668</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010313352</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Malyšev, Vadim A.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Linejnye operatory v beskonečnočastičnych sistemach</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Linear infinite particle operators</subfield><subfield code="c">V. A. Malyshew ; R. A. Minlos</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Linear infinite-particle operators</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 298 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">Translations of mathematical monographs</subfield><subfield code="v">143</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Aus dem Russ. übers.</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Markov-Prozess</subfield><subfield code="0">(DE-588)4134948-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionalanalysis</subfield><subfield code="0">(DE-588)4018916-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Linearer Operator</subfield><subfield code="0">(DE-588)4167721-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quantenfeldtheorie</subfield><subfield code="0">(DE-588)4047984-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Statistische Physik</subfield><subfield code="0">(DE-588)4057000-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Linearer Operator</subfield><subfield code="0">(DE-588)4167721-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Statistische Physik</subfield><subfield code="0">(DE-588)4057000-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Quantenfeldtheorie</subfield><subfield code="0">(DE-588)4047984-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Markov-Prozess</subfield><subfield code="0">(DE-588)4134948-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Linearer Operator</subfield><subfield code="0">(DE-588)4167721-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Linearer Operator</subfield><subfield code="0">(DE-588)4167721-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Markov-Prozess</subfield><subfield code="0">(DE-588)4134948-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2="1"><subfield code="a">Funktionalanalysis</subfield><subfield code="0">(DE-588)4018916-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Minlos, Robert A.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Translations of mathematical monographs</subfield><subfield code="v">143</subfield><subfield code="w">(DE-604)BV000002394</subfield><subfield code="9">143</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=006861904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="n">oe</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006861904</subfield></datafield></record></collection> |
| id | DE-604.BV010313352 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:50:20Z |
| institution | BVB |
| isbn | 0821802836 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006861904 |
| oclc_num | 246828668 |
| open_access_boolean | |
| owner | DE-12 DE-355 DE-BY-UBR DE-634 |
| owner_facet | DE-12 DE-355 DE-BY-UBR DE-634 |
| physical | VIII, 298 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Malyšev, Vadim A. Verfasser aut Linejnye operatory v beskonečnočastičnych sistemach Linear infinite particle operators V. A. Malyshew ; R. A. Minlos Linear infinite-particle operators Providence, RI American Math. Soc. 1995 VIII, 298 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 143 Aus dem Russ. übers. Markov-Prozess (DE-588)4134948-9 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Statistische Physik (DE-588)4057000-9 gnd rswk-swf Linearer Operator (DE-588)4167721-3 s Statistische Physik (DE-588)4057000-9 s Quantenfeldtheorie (DE-588)4047984-5 s DE-604 Markov-Prozess (DE-588)4134948-9 s Spektraltheorie (DE-588)4116561-5 s Funktionalanalysis (DE-588)4018916-8 s Minlos, Robert A. Verfasser aut Translations of mathematical monographs 143 (DE-604)BV000002394 143 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006861904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Malyšev, Vadim A. Minlos, Robert A. Linear infinite particle operators Translations of mathematical monographs Markov-Prozess (DE-588)4134948-9 gnd Funktionalanalysis (DE-588)4018916-8 gnd Linearer Operator (DE-588)4167721-3 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Spektraltheorie (DE-588)4116561-5 gnd Statistische Physik (DE-588)4057000-9 gnd |
| subject_GND | (DE-588)4134948-9 (DE-588)4018916-8 (DE-588)4167721-3 (DE-588)4047984-5 (DE-588)4116561-5 (DE-588)4057000-9 |
| title | Linear infinite particle operators |
| title_alt | Linejnye operatory v beskonečnočastičnych sistemach Linear infinite-particle operators |
| title_auth | Linear infinite particle operators |
| title_exact_search | Linear infinite particle operators |
| title_full | Linear infinite particle operators V. A. Malyshew ; R. A. Minlos |
| title_fullStr | Linear infinite particle operators V. A. Malyshew ; R. A. Minlos |
| title_full_unstemmed | Linear infinite particle operators V. A. Malyshew ; R. A. Minlos |
| title_short | Linear infinite particle operators |
| title_sort | linear infinite particle operators |
| topic | Markov-Prozess (DE-588)4134948-9 gnd Funktionalanalysis (DE-588)4018916-8 gnd Linearer Operator (DE-588)4167721-3 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Spektraltheorie (DE-588)4116561-5 gnd Statistische Physik (DE-588)4057000-9 gnd |
| topic_facet | Markov-Prozess Funktionalanalysis Linearer Operator Quantenfeldtheorie Spektraltheorie Statistische Physik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006861904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT malysevvadima linejnyeoperatoryvbeskonecnocasticnychsistemach AT minlosroberta linejnyeoperatoryvbeskonecnocasticnychsistemach AT malysevvadima linearinfiniteparticleoperators AT minlosroberta linearinfiniteparticleoperators |