Oscillatory Models in General Relativity / / Esra Russell, Oktay K. Pashaev.
The book employs oscillatory dynamical systems to represent the Universe mathematically via constructing classical and quantum theory of damped oscillators. It further discusses isotropic and homogeneous metrics in the Friedman-Robertson-Walker Universe and shows their equivalence to non-stationary...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2017] ©2018 |
Year of Publication: | 2017 |
Language: | English |
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Russell, Esra, author. aut http://id.loc.gov/vocabulary/relators/aut Oscillatory Models in General Relativity / Esra Russell, Oktay K. Pashaev. Berlin ; Boston : De Gruyter, [2017] ©2018 1 online resource (XII, 140 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematical Physics , 2194-3532 ; 41 Frontmatter -- Contents -- Introduction -- Part I: Dissipative geometry and general relativity theory -- 1. Pseudo-Riemannian geometry and general relativity -- 2. Dynamics of universe models -- 3. Anisotropic and homogeneous universe models -- 4. Metric waves in a nonstationary universe and dissipative oscillator -- 5. Bosonic and fermionic models of a Friedman–Robertson–Walker universe -- 6. Time dependent constants in an oscillatory universe -- Part II: Variational principle for time dependent oscillations and dissipations -- 7. Lagrangian and Hamilton descriptions -- 8. Damped oscillator: classical and quantum theory -- 9. Sturm–Liouville problem as a damped oscillator with time dependent damping and frequency -- 10. Riccati representation of time dependent damped oscillators -- 11. Quantization of the harmonic oscillator with time dependent parameters -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The book employs oscillatory dynamical systems to represent the Universe mathematically via constructing classical and quantum theory of damped oscillators. It further discusses isotropic and homogeneous metrics in the Friedman-Robertson-Walker Universe and shows their equivalence to non-stationary oscillators. The wide class of exactly solvable damped oscillator models with variable parameters is associated with classical special functions of mathematical physics. Combining principles with observations in an easy to follow way, it inspires further thinking for mathematicians and physicists. ContentsPart I: Dissipative geometry and general relativity theoryPseudo-Riemannian geometry and general relativityDynamics of universe modelsAnisotropic and homogeneous universe modelsMetric waves in a nonstationary universe and dissipative oscillatorBosonic and fermionic models of a Friedman–Robertson–Walker universeTime dependent constants in an oscillatory universe Part II: Variational principle for time dependent oscillations and dissipationsLagrangian and Hamilton descriptionsDamped oscillator: classical and quantum theorySturm–Liouville problem as a damped oscillator with time dependent damping and frequencyRiccati representation of time dependent damped oscillatorsQuantization of the harmonic oscillator with time dependent parameters Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Cosmic physics. General relativity (Physics). Oscillations. Stellar oscillations. SCIENCE / Physics / Relativity. bisacsh Pashaev, Oktay K., author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 9783110762488 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 9783110719550 Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package 9783110645309 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 9783110540550 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 9783110625264 Title is part of eBook package: De Gruyter EBOOK PACKAGE Physics, Chemistry, Materials Sc, Geosc 2017 9783110548235 ZDB-23-DPC EPUB 9783110515220 print 9783110514957 https://doi.org/10.1515/9783110515367 https://www.degruyter.com/isbn/9783110515367 Cover https://www.degruyter.com/document/cover/isbn/9783110515367/original |
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English |
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eBook |
author |
Russell, Esra, Russell, Esra, Pashaev, Oktay K., |
spellingShingle |
Russell, Esra, Russell, Esra, Pashaev, Oktay K., Oscillatory Models in General Relativity / De Gruyter Studies in Mathematical Physics , Frontmatter -- Contents -- Introduction -- Part I: Dissipative geometry and general relativity theory -- 1. Pseudo-Riemannian geometry and general relativity -- 2. Dynamics of universe models -- 3. Anisotropic and homogeneous universe models -- 4. Metric waves in a nonstationary universe and dissipative oscillator -- 5. Bosonic and fermionic models of a Friedman–Robertson–Walker universe -- 6. Time dependent constants in an oscillatory universe -- Part II: Variational principle for time dependent oscillations and dissipations -- 7. Lagrangian and Hamilton descriptions -- 8. Damped oscillator: classical and quantum theory -- 9. Sturm–Liouville problem as a damped oscillator with time dependent damping and frequency -- 10. Riccati representation of time dependent damped oscillators -- 11. Quantization of the harmonic oscillator with time dependent parameters -- Bibliography -- Index |
author_facet |
Russell, Esra, Russell, Esra, Pashaev, Oktay K., Pashaev, Oktay K., Pashaev, Oktay K., |
author_variant |
e r er e r er o k p ok okp |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Pashaev, Oktay K., Pashaev, Oktay K., |
author2_variant |
o k p ok okp |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Russell, Esra, |
title |
Oscillatory Models in General Relativity / |
title_full |
Oscillatory Models in General Relativity / Esra Russell, Oktay K. Pashaev. |
title_fullStr |
Oscillatory Models in General Relativity / Esra Russell, Oktay K. Pashaev. |
title_full_unstemmed |
Oscillatory Models in General Relativity / Esra Russell, Oktay K. Pashaev. |
title_auth |
Oscillatory Models in General Relativity / |
title_alt |
Frontmatter -- Contents -- Introduction -- Part I: Dissipative geometry and general relativity theory -- 1. Pseudo-Riemannian geometry and general relativity -- 2. Dynamics of universe models -- 3. Anisotropic and homogeneous universe models -- 4. Metric waves in a nonstationary universe and dissipative oscillator -- 5. Bosonic and fermionic models of a Friedman–Robertson–Walker universe -- 6. Time dependent constants in an oscillatory universe -- Part II: Variational principle for time dependent oscillations and dissipations -- 7. Lagrangian and Hamilton descriptions -- 8. Damped oscillator: classical and quantum theory -- 9. Sturm–Liouville problem as a damped oscillator with time dependent damping and frequency -- 10. Riccati representation of time dependent damped oscillators -- 11. Quantization of the harmonic oscillator with time dependent parameters -- Bibliography -- Index |
title_new |
Oscillatory Models in General Relativity / |
title_sort |
oscillatory models in general relativity / |
series |
De Gruyter Studies in Mathematical Physics , |
series2 |
De Gruyter Studies in Mathematical Physics , |
publisher |
De Gruyter, |
publishDate |
2017 |
physical |
1 online resource (XII, 140 p.) Issued also in print. |
contents |
Frontmatter -- Contents -- Introduction -- Part I: Dissipative geometry and general relativity theory -- 1. Pseudo-Riemannian geometry and general relativity -- 2. Dynamics of universe models -- 3. Anisotropic and homogeneous universe models -- 4. Metric waves in a nonstationary universe and dissipative oscillator -- 5. Bosonic and fermionic models of a Friedman–Robertson–Walker universe -- 6. Time dependent constants in an oscillatory universe -- Part II: Variational principle for time dependent oscillations and dissipations -- 7. Lagrangian and Hamilton descriptions -- 8. Damped oscillator: classical and quantum theory -- 9. Sturm–Liouville problem as a damped oscillator with time dependent damping and frequency -- 10. Riccati representation of time dependent damped oscillators -- 11. Quantization of the harmonic oscillator with time dependent parameters -- Bibliography -- Index |
isbn |
9783110515367 9783110762488 9783110719550 9783110645309 9783110540550 9783110625264 9783110548235 9783110515220 9783110514957 |
issn |
2194-3532 ; |
callnumber-first |
Q - Science |
callnumber-subject |
QC - Physics |
callnumber-label |
QC806 |
callnumber-sort |
QC 3806 R87 42018 |
url |
https://doi.org/10.1515/9783110515367 https://www.degruyter.com/isbn/9783110515367 https://www.degruyter.com/document/cover/isbn/9783110515367/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
520 - Astronomy |
dewey-ones |
523 - Specific celestial bodies & phenomena |
dewey-full |
523.01 |
dewey-sort |
3523.01 |
dewey-raw |
523.01 |
dewey-search |
523.01 |
doi_str_mv |
10.1515/9783110515367 |
oclc_num |
1013740517 |
work_keys_str_mv |
AT russellesra oscillatorymodelsingeneralrelativity AT pashaevoktayk oscillatorymodelsingeneralrelativity |
status_str |
n |
ids_txt_mv |
(DE-B1597)472773 (OCoLC)1013740517 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE Physics, Chemistry, Materials Sc, Geosc 2017 |
is_hierarchy_title |
Oscillatory Models in General Relativity / |
container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 |
author2_original_writing_str_mv |
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fullrecord |
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