Hamiltonian flows and evolution semigroups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow, Essex
Longman Scientific & Technical
1990
|
| Edition: | 1. publ. |
| Series: | Pitman research notes in mathematics series
239 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 124 S. |
| ISBN: | 0582031907 |
Staff View
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| 650 | 7 | |a Operatortheorie |2 gtt | |
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| 650 | 7 | |a Semi-groupe évolution |2 Jussieu | |
| 650 | 7 | |a Semigroupes |2 ram | |
| 650 | 7 | |a Systèmes hamiltoniens |2 ram | |
| 650 | 4 | |a Hamiltonian systems | |
| 650 | 4 | |a Probabilities | |
| 650 | 4 | |a Semigroups | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
Chapter I Introduction 1
Chapter II The Basics of Hamiltonian Mechanics 3
n.l Canonical equations of motion 3
n.2 Canonical transformations 4
11.3 The Hamilton Jacobi equation 9
11.4 Canonical equivalence of integrable systems on R2n 14
11.5 Two time Hamilton Jacobi functions and time evolution 15
11.6 Poisson brackets and infinitesimal canonical transformations 17
References 19
Chapter III Representation of Canonical Transformations 20
III. 1 The representation formula 20
111.2 Canonical transformation of distributions 25
111.3 Evolution semigroups generated by flows 28
111.4 The general case 33
III. 5 Analogies with quantum mechanics 35
References 37
Chapter IV Operational Calculus 39
IV. 1 The correspondence rules 39
IV.2 The generalized Leibnitz lemma and some other formulae 43
IV.3 Some exponential formulae 45
IV.4 Transformation of operators under canonical transformations 48
References 53
Chapter V Evolution Semigroups 54
V.I Evolution semigroups 54
V.2 Semigroups and Hamiltonian systems: The operational calculus connection 56
V.3 Generalized Markov processes and Martingales 61
V.4 The generalized Feynman Kac formula 64
References 67
Chapter VI Applications 68
VI. 1 Some simple semigroups 68
VI.2 A particle in a constant field 72
VI.3 The oscillator and the Ornstein Uhlenbeck processes 74
VI.4 A particle in a constant electromagnetic field 78
VI.5 Other quadratic and integrableHamiltonians 79
VI.6 The linear and non linear filtering problems 84
VI.7 Canonical transforms and umbral calculus 87
VI. 8 Moment systems and cross sequences 95
VI.9 A Lie algebra and its representation 107
VI.10 Gauge transformations and the Cameron Martin Girsanov transformation 112
VI. 11 From the invariance group of the free particle to the in variance group of the Heath
equation and the B urger s equation 115
References 123
|
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| ctrlnum | (OCoLC)22005436 (DE-599)BVBBV004365263 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:12:01Z |
| institution | BVB |
| isbn | 0582031907 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002710491 |
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| physical | 124 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Longman Scientific & Technical |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Gzyl, Henryk Verfasser aut Hamiltonian flows and evolution semigroups Henryk Gzyl 1. publ. Harlow, Essex Longman Scientific & Technical 1990 124 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 239 Calcul opérationnel Jussieu Groepen (wiskunde) gtt Hamilton-vergelijkingen gtt Mécanique hamiltonienne Jussieu Operatortheorie gtt Probabilité Jussieu Probabilités ram Semi-groupe évolution Jussieu Semigroupes ram Systèmes hamiltoniens ram Hamiltonian systems Probabilities Semigroups Halbgruppe (DE-588)4022990-7 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Hamilton-Formalismus (DE-588)4376155-0 gnd rswk-swf Halbgruppe (DE-588)4022990-7 s Hamilton-Formalismus (DE-588)4376155-0 s DE-604 Statistische Mechanik (DE-588)4056999-8 s Pitman research notes in mathematics series 239 (DE-604)BV000022845 239 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002710491&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gzyl, Henryk Hamiltonian flows and evolution semigroups Pitman research notes in mathematics series Calcul opérationnel Jussieu Groepen (wiskunde) gtt Hamilton-vergelijkingen gtt Mécanique hamiltonienne Jussieu Operatortheorie gtt Probabilité Jussieu Probabilités ram Semi-groupe évolution Jussieu Semigroupes ram Systèmes hamiltoniens ram Hamiltonian systems Probabilities Semigroups Halbgruppe (DE-588)4022990-7 gnd Statistische Mechanik (DE-588)4056999-8 gnd Hamilton-Formalismus (DE-588)4376155-0 gnd |
| subject_GND | (DE-588)4022990-7 (DE-588)4056999-8 (DE-588)4376155-0 |
| title | Hamiltonian flows and evolution semigroups |
| title_auth | Hamiltonian flows and evolution semigroups |
| title_exact_search | Hamiltonian flows and evolution semigroups |
| title_full | Hamiltonian flows and evolution semigroups Henryk Gzyl |
| title_fullStr | Hamiltonian flows and evolution semigroups Henryk Gzyl |
| title_full_unstemmed | Hamiltonian flows and evolution semigroups Henryk Gzyl |
| title_short | Hamiltonian flows and evolution semigroups |
| title_sort | hamiltonian flows and evolution semigroups |
| topic | Calcul opérationnel Jussieu Groepen (wiskunde) gtt Hamilton-vergelijkingen gtt Mécanique hamiltonienne Jussieu Operatortheorie gtt Probabilité Jussieu Probabilités ram Semi-groupe évolution Jussieu Semigroupes ram Systèmes hamiltoniens ram Hamiltonian systems Probabilities Semigroups Halbgruppe (DE-588)4022990-7 gnd Statistische Mechanik (DE-588)4056999-8 gnd Hamilton-Formalismus (DE-588)4376155-0 gnd |
| topic_facet | Calcul opérationnel Groepen (wiskunde) Hamilton-vergelijkingen Mécanique hamiltonienne Operatortheorie Probabilité Probabilités Semi-groupe évolution Semigroupes Systèmes hamiltoniens Hamiltonian systems Probabilities Semigroups Halbgruppe Statistische Mechanik Hamilton-Formalismus |
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| volume_link | (DE-604)BV000022845 |
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