Operators, oscillations, waves (Open systems):
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Providence, R.I.
American Mathematical Soc.
1973
|
| Series: | Translations of mathematical monographs
34. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. - EST: Operatory, kolebanija, volny / Otkrytye sistemy (engl.) |
| Physical Description: | VI, 274 S. Ill. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV006273829 | ||
| 003 | DE-604 | ||
| 005 | 19951012 | ||
| 007 | t | ||
| 008 | 930210s1973 a||| |||| 00||| eng d | ||
| 020 | |z 0821815841 |9 0-8218-1584-1 | ||
| 035 | |a (OCoLC)508099 | ||
| 035 | |a (DE-599)BVBBV006273829 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 1 | |a eng |h rus | |
| 049 | |a DE-739 |a DE-384 |a DE-355 |a DE-19 |a DE-188 | ||
| 050 | 0 | |a QA329.2 | |
| 082 | 0 | |a 531/.322 | |
| 084 | |a SK 950 |0 (DE-625)143273: |2 rvk | ||
| 084 | |a UK 1200 |0 (DE-625)145792: |2 rvk | ||
| 100 | 1 | |a Lîfšîṣ, Moše S. |d 1917-2007 |e Verfasser |0 (DE-588)118868012 |4 aut | |
| 240 | 1 | 0 | |a Operatory, kolebanija, volny |
| 245 | 1 | 0 | |a Operators, oscillations, waves (Open systems) |c by M. S. Livšic |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Soc. |c 1973 | |
| 300 | |a VI, 274 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of mathematical monographs |v 34. | |
| 500 | |a Aus d. Russ. übers. - EST: Operatory, kolebanija, volny / Otkrytye sistemy (engl.) | ||
| 650 | 7 | |a Fisica Matematica |2 larpcal | |
| 650 | 4 | |a Ondes électriques | |
| 650 | 4 | |a Opérateurs linéaires | |
| 650 | 4 | |a Oscillations | |
| 650 | 4 | |a Équation d'onde | |
| 650 | 4 | |a Electric waves | |
| 650 | 4 | |a Linear operators | |
| 650 | 4 | |a Oscillations | |
| 650 | 4 | |a Wave equation | |
| 650 | 0 | 7 | |a Schwingung |0 (DE-588)4053999-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Offenes System |0 (DE-588)4043370-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Operator |0 (DE-588)4130529-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Operator |0 (DE-588)4130529-2 |D s |
| 689 | 0 | 1 | |a Schwingung |0 (DE-588)4053999-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Offenes System |0 (DE-588)4043370-5 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 830 | 0 | |a Translations of mathematical monographs |v 34. |w (DE-604)BV000002394 |9 34 | |
| 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=003964279&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-003964279 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Record in the Search Index
| _version_ | 1804120489109487616 |
|---|---|
| adam_text | TABLE OF CONTENTS
Preface iii
Introduction 1
Chapter 1. Basic concepts and equations 4
1.1 Closed linear systems 4
1.2 Coupling channels and open systems 7
1.3 Representation of input interior and input output trans¬
formations 21
1.4 Examples 30
Chapter 2. Resolution of open systems 39
2.1 Combination of operator clusters 39
2.2 Kymological chains (from the Greek nypa ) 42
2.3 Reduction of the operator to triangular form and kymo¬
logical resolution 49
2.4 Closure of coupling channels 54
2.5 Generalisation of the concept of kymological resolution 62
2.6 Normalisation of an open system with respect to an
arbitrary point 66
Chapter 3. Models of open systems 74
3.1 Diagonal of an open system 74
3.2 Equivalence of open systems 79
3.3 Synthesis of a stationary system from its transmission
operator 82
3.4 On a problem in the theory of spectral perturbation of
Hermitian operators. Ahiezer polynomials 96
v
Table of Contents
3.5 Linearisation of the formula E = /(m ?)2 + (cp)2 by means
of the Cebysev matrices. Attempt at a physical inter¬
pretation 105
Chapter 4. Electrical networks 113
4.1 Multigraphs and electrical networks 113
4.2 The matrices Z,Y and S 118
4.3 The operator complex of a transmitting multipole 126
Chapter 5. Transformation of open systems 139
5.1 Classes of systems. Change of basis in the coupling
channel space 139
5.2 Transformations io, Li and 1^ 142
5.3 An electrical model of a two pole system and network
synthesis of four poles 152
Chapter 6. Systems with an infinite number of degrees of
FREEDOM 164
6.1 Problem of reflection at end section of a two conductor
line 164
6.2 Infinite discrete chains 167
6.3 Unbounded operator complexes 177
6.4 Continuous chains 186
Chapter 7. Waveguides and quantum mechanical scattering
theory 203
7.1 Preliminary remarks 203
7.2 Problem of reflection from non uniformities in wave¬
guides 208
7.3 Scattering of particles in a potential field 223
7.4 Compound nucleus in the scattering problem 230
Chapter 8. Non stationary motion in open systems 240
8.1 Equation of evolution of an open system 240
8.2 Resolution of open systems for non steady motion 245
8.3 Some properties of evolutionary equations 255
Bibliography 269
vi
|
| any_adam_object | 1 |
| author | Lîfšîṣ, Moše S. 1917-2007 |
| author_GND | (DE-588)118868012 |
| author_facet | Lîfšîṣ, Moše S. 1917-2007 |
| author_role | aut |
| author_sort | Lîfšîṣ, Moše S. 1917-2007 |
| author_variant | m s l ms msl |
| building | Verbundindex |
| bvnumber | BV006273829 |
| callnumber-first | Q - Science |
| callnumber-label | QA329 |
| callnumber-raw | QA329.2 |
| callnumber-search | QA329.2 |
| callnumber-sort | QA 3329.2 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 950 UK 1200 |
| ctrlnum | (OCoLC)508099 (DE-599)BVBBV006273829 |
| dewey-full | 531/.322 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531/.322 |
| dewey-search | 531/.322 |
| dewey-sort | 3531 3322 |
| 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>02249nam a2200577 cb4500</leader><controlfield tag="001">BV006273829</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19951012 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">930210s1973 a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">0821815841</subfield><subfield code="9">0-8218-1584-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)508099</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV006273829</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="1" ind2=" "><subfield code="a">eng</subfield><subfield code="h">rus</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-739</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA329.2</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">531/.322</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">UK 1200</subfield><subfield code="0">(DE-625)145792:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lîfšîṣ, Moše S.</subfield><subfield code="d">1917-2007</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)118868012</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Operatory, kolebanija, volny</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Operators, oscillations, waves (Open systems)</subfield><subfield code="c">by M. S. Livšic</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, R.I.</subfield><subfield code="b">American Mathematical Soc.</subfield><subfield code="c">1973</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 274 S.</subfield><subfield code="b">Ill.</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">34.</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Aus d. Russ. übers. - EST: Operatory, kolebanija, volny / Otkrytye sistemy (engl.)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fisica Matematica</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ondes électriques</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Opérateurs linéaires</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Oscillations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Équation d'onde</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Electric waves</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Linear operators</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Oscillations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wave equation</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Schwingung</subfield><subfield code="0">(DE-588)4053999-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Offenes System</subfield><subfield code="0">(DE-588)4043370-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Operator</subfield><subfield code="0">(DE-588)4130529-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Operator</subfield><subfield code="0">(DE-588)4130529-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Schwingung</subfield><subfield code="0">(DE-588)4053999-4</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">Offenes System</subfield><subfield code="0">(DE-588)4043370-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Translations of mathematical monographs</subfield><subfield code="v">34.</subfield><subfield code="w">(DE-604)BV000002394</subfield><subfield code="9">34</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=003964279&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:BVB01-003964279</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV006273829 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:42:54Z |
| institution | BVB |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003964279 |
| oclc_num | 508099 |
| open_access_boolean | |
| owner | DE-739 DE-384 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-188 |
| owner_facet | DE-739 DE-384 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-188 |
| physical | VI, 274 S. Ill. |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | American Mathematical Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Lîfšîṣ, Moše S. 1917-2007 Verfasser (DE-588)118868012 aut Operatory, kolebanija, volny Operators, oscillations, waves (Open systems) by M. S. Livšic Providence, R.I. American Mathematical Soc. 1973 VI, 274 S. Ill. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 34. Aus d. Russ. übers. - EST: Operatory, kolebanija, volny / Otkrytye sistemy (engl.) Fisica Matematica larpcal Ondes électriques Opérateurs linéaires Oscillations Équation d'onde Electric waves Linear operators Wave equation Schwingung (DE-588)4053999-4 gnd rswk-swf Offenes System (DE-588)4043370-5 gnd rswk-swf Operator (DE-588)4130529-2 gnd rswk-swf Operator (DE-588)4130529-2 s Schwingung (DE-588)4053999-4 s DE-604 Offenes System (DE-588)4043370-5 s 1\p DE-604 Translations of mathematical monographs 34. (DE-604)BV000002394 34 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003964279&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lîfšîṣ, Moše S. 1917-2007 Operators, oscillations, waves (Open systems) Translations of mathematical monographs Fisica Matematica larpcal Ondes électriques Opérateurs linéaires Oscillations Équation d'onde Electric waves Linear operators Wave equation Schwingung (DE-588)4053999-4 gnd Offenes System (DE-588)4043370-5 gnd Operator (DE-588)4130529-2 gnd |
| subject_GND | (DE-588)4053999-4 (DE-588)4043370-5 (DE-588)4130529-2 |
| title | Operators, oscillations, waves (Open systems) |
| title_alt | Operatory, kolebanija, volny |
| title_auth | Operators, oscillations, waves (Open systems) |
| title_exact_search | Operators, oscillations, waves (Open systems) |
| title_full | Operators, oscillations, waves (Open systems) by M. S. Livšic |
| title_fullStr | Operators, oscillations, waves (Open systems) by M. S. Livšic |
| title_full_unstemmed | Operators, oscillations, waves (Open systems) by M. S. Livšic |
| title_short | Operators, oscillations, waves (Open systems) |
| title_sort | operators oscillations waves open systems |
| topic | Fisica Matematica larpcal Ondes électriques Opérateurs linéaires Oscillations Équation d'onde Electric waves Linear operators Wave equation Schwingung (DE-588)4053999-4 gnd Offenes System (DE-588)4043370-5 gnd Operator (DE-588)4130529-2 gnd |
| topic_facet | Fisica Matematica Ondes électriques Opérateurs linéaires Oscillations Équation d'onde Electric waves Linear operators Wave equation Schwingung Offenes System Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003964279&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT lifsismoses operatorykolebanijavolny AT lifsismoses operatorsoscillationswavesopensystems |