Wavelets and renormalization:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
1999
|
| Schriftenreihe: | Series in approximations and decompositions
10 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 561 S. graph. Darst. |
| ISBN: | 9810226241 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV011766353 | ||
| 003 | DE-604 | ||
| 005 | 19990616 | ||
| 007 | t | ||
| 008 | 980210s1999 d||| |||| 00||| eng d | ||
| 020 | |a 9810226241 |9 981-02-2624-1 | ||
| 035 | |a (OCoLC)39307466 | ||
| 035 | |a (DE-599)BVBBV011766353 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-20 |a DE-703 |a DE-29T |a DE-355 |a DE-824 |a DE-11 |a DE-739 | ||
| 050 | 0 | |a QC20.7.R43 | |
| 082 | 0 | |a 530.14/3 |2 21 | |
| 084 | |a SK 450 |0 (DE-625)143240: |2 rvk | ||
| 084 | |a SK 950 |0 (DE-625)143273: |2 rvk | ||
| 084 | |a UO 4020 |0 (DE-625)146239: |2 rvk | ||
| 100 | 1 | |a Battle, Guy |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Wavelets and renormalization |c G. Battle |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 1999 | |
| 300 | |a XIV, 561 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Series in approximations and decompositions |v 10 | |
| 650 | 7 | |a Groupe de renormalisation |2 ram | |
| 650 | 7 | |a Physique mathématique |2 ram | |
| 650 | 7 | |a Renormalisatie (natuurkunde) |2 gtt | |
| 650 | 7 | |a Wavelets |2 gtt | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Renormalization group | |
| 650 | 4 | |a Wavelets (Mathematics) | |
| 650 | 0 | 7 | |a Renormierung |0 (DE-588)4128419-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wavelet |0 (DE-588)4215427-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Renormierung |0 (DE-588)4128419-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Wavelet |0 (DE-588)4215427-3 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Wavelet |0 (DE-588)4215427-3 |D s |
| 689 | 2 | 1 | |a Renormierung |0 (DE-588)4128419-7 |D s |
| 689 | 2 | |5 DE-604 | |
| 830 | 0 | |a Series in approximations and decompositions |v 10 |w (DE-604)BV009569075 |9 10 | |
| 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=007940001&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007940001 | ||
Datensatz im Suchindex
| _version_ | 1804126308772347904 |
|---|---|
| adam_text | Contents
Preface ix
1 Mathematical Sketches of Quantum Physics 1
1.1 Measurement and Dynamics 6
1.2 Imaginary Time Correlations 11
1.3 Correspondence Principle 15
1.4 The Harmonic Oscillator 23
1.5 The Feynman Kac Formula 30
1.6 Quantum Mechanics of One Relativistic Particle 36
1.7 Crisis in the Theory and Formalism 40
1.8 Canonical Formalism of Quantum Field Theory 47
1.9 Functional Integration for Quantum Field Theory 56
1.10 Axiomatic Quantum Field Theory 64
1.11 The Constructive Problem 73
1.12 A Tale of Two Dimensions 82
1.13 The Need for Phase Cell Analysis 97
2 Wavelets — Basic Theory and Construction 105
2.1 The Balian Low Theorem 110
2.2 Lemarie and Meyer Wavelets 117
2.3 Daubechies Wavelets 123
2.4 Vanishing Moments 131
2.5 Uncertainty Relations for (P) = 0 Wavelet States 135
2.6 Further Constraints of Heisenberg Type 140
2.7 Variational Construction 150
2.8 Without Intrascale Orthogonality 156
2.9 Chui Wang Wavelets 163
2.10 Multi Dimensional Wavelets 169
3 Equilibrium States of Classical Crystals 179
3.1 Classical Spin Systems 185
3.2 Phase Transitions and Ergodic Decomposition 194
3.3 Phase Transitions and Reflection Positivity 201
3.4 The Ising Model 214
3.5 The Ginzburg Landau Model 220
xiii
xiv CONTENTS
3.6 Polymer Expansions 228
3.7 Expansion for Nearest Neighbor Interactions 237
3.8 Inductive Interpolation 244
3.9 A Generalization of the Polymer Estimation 254
3.10 Unit Vector Spins with Long Range Coupling 257
3.11 Combinatorial Properties of Interpolation Weights 263
3.12 Scalar Spins with Long Range Coupling 271
3.13 Extra I/TV! Factors in the Inductive Expansion 275
4 A Wavelet Introduction to the Renormalization Group 281
4.1 Averaging Transformations 290
4.2 The Renormalization Group Transformation 297
4.3 Minimizers and Orthogonality 303
4.4 Connection to the Continuum Wavelet Cutoff 310
4.5 Canonical Wavelet Manifold and ZF Transformation 318
4.6 Relevant, Marginal, and Irrelevant Parameters 325
4.7 Canonical Inverse Limit Manifold 332
4.8 Wick Ordering and Linearized RG Analysis 340
4.9 The Second Order RG Transformation 348
4.10 Wavelet Diagrams 356
4.11 The One Loop per Scale Transformation 360
4.12 The Wilson Wavelet Recursion Formula 369
4.13 The Baker Dyson Wilson Hierarchical Model 376
4.14 The Hierarchical Model to Second Order 382
4.15 Hierarchical One Loop per Scale Transformation 389
4.16 Wavelet Correction of the Hierarchical Model 394
5 Wavelet Analysis of $$ 401
5.1 The Cutoff A Finite Set of Modes 407
5.2 Wavelet Estimates 412
5.3 Inductive Operations 417
5.4 Estimates on Numerical Factors 423
5.5 Expansion Rules and Wavelet Diagrams 431
5.6 Organizing the Completed Expansion 443
5.7 The Phase Cell Polymer 451
5.8 Estimating the Activity I: Stability and Quartic Positivity 456
5.9 Estimating the Activity II: Internal Combinatorics 464
5.10 Combinatorics for Summing Over Polymers 471
5.11 Strategy for Number Divergence Cancellation 478
5.12 From Infinitely Many Cases to Finitely Many 483
5.13 Wavelet Diagrams for Cases 492
5.14 How to Assign Numerical Factors 504
Bibliography 513
|
| any_adam_object | 1 |
| author | Battle, Guy |
| author_facet | Battle, Guy |
| author_role | aut |
| author_sort | Battle, Guy |
| author_variant | g b gb |
| building | Verbundindex |
| bvnumber | BV011766353 |
| callnumber-first | Q - Science |
| callnumber-label | QC20 |
| callnumber-raw | QC20.7.R43 |
| callnumber-search | QC20.7.R43 |
| callnumber-sort | QC 220.7 R43 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 450 SK 950 UO 4020 |
| ctrlnum | (OCoLC)39307466 (DE-599)BVBBV011766353 |
| dewey-full | 530.14/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/3 |
| dewey-search | 530.14/3 |
| dewey-sort | 3530.14 13 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02043nam a2200553 cb4500</leader><controlfield tag="001">BV011766353</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19990616 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">980210s1999 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9810226241</subfield><subfield code="9">981-02-2624-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)39307466</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011766353</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-20</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-739</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC20.7.R43</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.14/3</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 450</subfield><subfield code="0">(DE-625)143240:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 950</subfield><subfield code="0">(DE-625)143273:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UO 4020</subfield><subfield code="0">(DE-625)146239:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Battle, Guy</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Wavelets and renormalization</subfield><subfield code="c">G. Battle</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore [u.a.]</subfield><subfield code="b">World Scientific</subfield><subfield code="c">1999</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIV, 561 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="1" ind2=" "><subfield code="a">Series in approximations and decompositions</subfield><subfield code="v">10</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Groupe de renormalisation</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Physique mathématique</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Renormalisatie (natuurkunde)</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Wavelets</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematische Physik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Renormalization group</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wavelets (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Renormierung</subfield><subfield code="0">(DE-588)4128419-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wavelet</subfield><subfield code="0">(DE-588)4215427-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Renormierung</subfield><subfield code="0">(DE-588)4128419-7</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">Wavelet</subfield><subfield code="0">(DE-588)4215427-3</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">Wavelet</subfield><subfield code="0">(DE-588)4215427-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Renormierung</subfield><subfield code="0">(DE-588)4128419-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Series in approximations and decompositions</subfield><subfield code="v">10</subfield><subfield code="w">(DE-604)BV009569075</subfield><subfield code="9">10</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=007940001&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:BVB01-007940001</subfield></datafield></record></collection> |
| id | DE-604.BV011766353 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:15:24Z |
| institution | BVB |
| isbn | 9810226241 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007940001 |
| oclc_num | 39307466 |
| open_access_boolean | |
| owner | DE-20 DE-703 DE-29T DE-355 DE-BY-UBR DE-824 DE-11 DE-739 |
| owner_facet | DE-20 DE-703 DE-29T DE-355 DE-BY-UBR DE-824 DE-11 DE-739 |
| physical | XIV, 561 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | World Scientific |
| record_format | marc |
| series | Series in approximations and decompositions |
| series2 | Series in approximations and decompositions |
| spelling | Battle, Guy Verfasser aut Wavelets and renormalization G. Battle Singapore [u.a.] World Scientific 1999 XIV, 561 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series in approximations and decompositions 10 Groupe de renormalisation ram Physique mathématique ram Renormalisatie (natuurkunde) gtt Wavelets gtt Mathematische Physik Mathematical physics Renormalization group Wavelets (Mathematics) Renormierung (DE-588)4128419-7 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Renormierung (DE-588)4128419-7 s DE-604 Wavelet (DE-588)4215427-3 s Series in approximations and decompositions 10 (DE-604)BV009569075 10 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007940001&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Battle, Guy Wavelets and renormalization Series in approximations and decompositions Groupe de renormalisation ram Physique mathématique ram Renormalisatie (natuurkunde) gtt Wavelets gtt Mathematische Physik Mathematical physics Renormalization group Wavelets (Mathematics) Renormierung (DE-588)4128419-7 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4128419-7 (DE-588)4215427-3 |
| title | Wavelets and renormalization |
| title_auth | Wavelets and renormalization |
| title_exact_search | Wavelets and renormalization |
| title_full | Wavelets and renormalization G. Battle |
| title_fullStr | Wavelets and renormalization G. Battle |
| title_full_unstemmed | Wavelets and renormalization G. Battle |
| title_short | Wavelets and renormalization |
| title_sort | wavelets and renormalization |
| topic | Groupe de renormalisation ram Physique mathématique ram Renormalisatie (natuurkunde) gtt Wavelets gtt Mathematische Physik Mathematical physics Renormalization group Wavelets (Mathematics) Renormierung (DE-588)4128419-7 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Groupe de renormalisation Physique mathématique Renormalisatie (natuurkunde) Wavelets Mathematische Physik Mathematical physics Renormalization group Wavelets (Mathematics) Renormierung Wavelet |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007940001&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009569075 |
| work_keys_str_mv | AT battleguy waveletsandrenormalization |