LEADER 00000cam a2200685Ma 4500 001 on1013740517 003 OCoLC 005 20190111050944.5 006 m o d 007 cr |n||||||||| 008 171201s2017 xx o 000 0 eng d 019 1013592591|a1013854422 020 3110515369|q(electronic book) 020 9783110515367|q(electronic book) 020 9783110515374|q(electronic book) 020 3110515377|q(electronic book) 020 |z9783110515367 020 |z3110514958 020 |z9783110515220 020 |z3110515229 035 (OCoLC)1013740517|z(OCoLC)1013592591|z(OCoLC)1013854422 037 1050817|bMIL 040 IDEBK|beng|epn|cIDEBK|dEBLCP|dYDX|dN$T|dOCLCF|dDEGRU|dUAB |dOCLCQ|dCUY 049 RIDW 050 4 QC806 072 7 SCI|x024000|2bisacsh 072 7 SCI|x041000|2bisacsh 072 7 SCI|x055000|2bisacsh 082 04 530.1|223 090 QC806 100 1 Russell, Esra,|d1979-|0https://id.loc.gov/authorities/ names/n2017073435 245 10 Oscillatory Models in General Relativity. 264 1 [Place of publication not identified] :|bDe Gruyter, |c2017. 300 1 online resource. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 347 text file|2rdaft 490 1 De Gruyter Studies in Mathematical Physics 505 00 |tFrontmatter --|tContents --|tIntroduction --|tPart I: Dissipative geometry and general relativity theory --|t1. Pseudo-Riemannian geometry and general relativity --|t2. Dynamics of universe models --|t3. Anisotropic and homogeneous universe models --|t4. Metric waves in a nonstationary universe and dissipative oscillator --|t5. Bosonic and fermionic models of a Friedman-Robertson- Walker universe --|t6. Time dependent constants in an oscillatory universe --|tPart II: Variational principle for time dependent oscillations and dissipations --|t7. Lagrangian and Hamilton descriptions --|t8. Damped oscillator: classical and quantum theory --|t9. Sturm- Liouville problem as a damped oscillator with time dependent damping and frequency --|t10. Riccati representation of time dependent damped oscillators -- |t11. Quantization of the harmonic oscillator with time dependent parameters --|tBibliography --|tIndex. 520 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. 588 0 Print version record. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Cosmic physics.|0https://id.loc.gov/authorities/subjects/ sh85033150 650 0 Oscillations.|0https://id.loc.gov/authorities/subjects/ sh85095898 650 0 Stellar oscillations.|0https://id.loc.gov/authorities/ subjects/sh85127914 650 0 General relativity (Physics)|0https://id.loc.gov/ authorities/subjects/sh85053765 650 7 Cosmic physics.|2fast|0https://id.worldcat.org/fast/880558 650 7 Oscillations.|2fast|0https://id.worldcat.org/fast/1048658 650 7 Stellar oscillations.|2fast|0https://id.worldcat.org/fast/ 1132957 650 7 General relativity (Physics)|2fast|0https:// id.worldcat.org/fast/939815 655 4 Electronic books. 830 0 De Gruyter studies in mathematical physics.|0https:// id.loc.gov/authorities/names/no2012028823 856 40 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=1639793|zOnline eBook via EBSCO. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading the EBSCO version of this eBook|uhttp://guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20190118|cEBSCO|tEBSCOebooksacademic NEW 1-11-19 6702 |lridw 994 92|bRID